B3/S234

[Lewis]

This rule has a tendency to expand into a large mostly still structure with small oscillating sections in it. The first oscillators I found in this rule were simply those oscillating parts isolated and stabilised at the edges by hand. Most newer ones were found using RandAgar (which i think is available as RandomAgar v1.1 on the internet) but still need to be hand-stabilised.
As Life doesn't expand in the same way that this rule does, it's unlikely that oscillators can be found in the same way.


EDIT: 3 p40s I juust found:

Code: Select all

x = 56, y = 15, rule = 234/3
12bob2o$2o4b2o4b2obo13b2o2b2o9b2o$bo5bo2b2o4b2o11bo4bo9bo2bob
ob2o$o5bo4bo5bo8b2ob5o9b2ob2ob2o2bo$2o4b2o2bo5bo10bo6b3o7bobo
bobobobo$2bob2o4b2o4b2o8bob6o2bo3bo3bobo2bo2bobo$2b2obo5bo5bo
8bo7b2o4b3obobo5bob2o$6b2o2bo5bo6b2ob2o5b2o7bobob2o4bobo$7bo2b
2o4b2o6bo9bo9bobo4b2obo$6bo4bo5bo5b2ob9ob2o5bo2b2o4bob2o$6b2o
2bo5bo9bobo6bobo5b3o2bobobo$7bo2b2o4b2o8bo2b5obob2o7b3ob3o$6b
o5bob2o11b2o4b2o10bo$6b2o4b2obo13b2o14b2o5b3o$29b2o21bobo!

EDIT 2: p42, p45 and p50 (This leaves the lowest unknown period 52):

Code: Select all

x = 56, y = 70, rule = 234/3
12bob2o$2o4b2o4b2obo13b2o2b2o9b2o$bo5bo2b2o4b2o11bo4bo9bo2bob
ob2o$o5bo4bo5bo8b2ob5o9b2ob2ob2o2bo$2o4b2o2bo5bo10bo6b3o7bobo
bobobobo$2bob2o4b2o4b2o8bob6o2bo3bo3bobo2bo2bobo$2b2obo5bo5bo
8bo7b2o4b3obobo5bob2o$6b2o2bo5bo6b2ob2o5b2o7bobob2o4bobo$7bo2b
2o4b2o6bo9bo9bobo4b2obo$6bo4bo5bo5b2ob9ob2o5bo2b2o4bob2o$6b2o
2bo5bo9bobo6bobo5b3o2bobobo$7bo2b2o4b2o8bo2b5obob2o7b3ob3o$6b
o5bob2o11b2o4b2o10bo$6b2o4b2obo13b2o14b2o5b3o$29b2o21bobo4$b2o
3b2o4b2obo15bo2bo$b2o3b2o4bob2o11b2o2b4o$16b2o9bo9bo$b2o3b2o8b
o5bob2ob11o$bobobobo9bo4b3obo3bo$3bobo10b2o8b2o5b5o$2b2obo6b2o
bo6b2obo11bo$6b2o4bob2o7bob2o7b2obob2o$7bo2b2o11b2o10bobob2o$
6bo3bo14b3o5b3obo$6b2o3bo11b2o5bo6bo$7bo2b2o11bob12o$6bo5b2ob
o$6b2o4bob2o11b3o2b3o$27bobo2bobo3$31bo$30bobo$31bo$b2o3b2o4b
2obo$b2o3b2o4bob2o10b2ob5ob2o$10b2o15bobobobobo$b2o3b2o2bo16b
obobobobo$bobobobo3bo12b2obobo3bobob2o$3bobo4b2o13bobo2bobo2b
2obo$2b2obo6b2obo8b2obo5bo2bo$6b2o4bob2o8bo2bo5b4o$7bo8b2o7bo
b2o4bo2b2o$6bo9bo9bo4bobobo$6b2o9bo9b5obobo$7bo8b2o16bo$6bo5b
2obo13bo$6b2o4bob2o12bobo$29bo3$2bob2o6bob2o13bobo$2b2obo6b2o
bo13b3o$2o8b2o4b2o16bo$bo9bo5bo9b8o$o9bo5bo10bo$2o8b2o4b2o6b2o
b8o$2bob2o5bo5bo5bobo3bo4bo2bo$2b2obo4bo5bo7bob3o4b2obobo$6b2o
2b2o4b2o8bo7bo2bo$7bo3bo5bo7b2ob7o$6bo3bo5bo10bo$6b2o2b2o4b2o
9b8o$2bob2o6bob2o18bo$2b2obo6b2obo13b3o$29bobo!

[Sokwe]

Is it feasible that this method could be applied to B3/S23 to find the missing oscillator periods in Life?

I've been considering a four-state rule that might work similarly. Two states (representing ON and OFF cells in Life) would be "fixed", while the other two states would be "dynamic". The fixed states would never change (with the possible exception of the ON state, which might become a fixed off cell if it becomes overpopulated by dynamic cells). The dynamic cells would change based on normal Life rules, using the total number of fixed and dynamic ON cells in their neighbourhood. The Idea would then be to surround an area with random fixed cells and fill the area with random dynamic cells. Unfortunately, this method would not allow the drifters which are so common in B3/S234, and which give rise to many of the high period rotors found in this rule (the fixed cells would prevent the dynamic cells from escaping the fixed boundary). I still think such an idea is worth trying, but I don't think I have the time to set up a rule table. Maybe you or someone else can do it.

I believe there are some such high-period billiard tables in life, but I don't think there are nearly so many as in this rule. For example, I managed to find some signal injectors up to period 8 with WinLifeSearch, which would be infeasible in Life.

Code: Select all

#C period 5 to 8 signal injectors
x = 239, y = 29, rule = B3/S234
135bob2obobo56b2o$41bobo4bo19b2o3bobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2b2o21b3ob3ob2o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b2o16b2o2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2b2o$4bo2bo28b2o2bob2o2b3o17b3o2b3ob36o21bo8bo
b36o18bobob36o$4b4o2bob2obo2bo2bo2bo2bo2bo2bo2b2o2bo2bobo19bo3bobo2bo
37bo19b5ob3o2bo36bo15b2o2bobo35bo$2b2o4b4o2b22o2b2obo3bob4o15bob2o2bob
3o2b4o2b4o2b4o2b4o2b4o2b4o16b2obo3bobo5b3o2b5o2b5o2b5o2b5o2b4o14bo2bo
6b6o2b6o2b6o2b6o2b2o$2bo2b2o4bobo23bo3b2o2b3obo14b2o4bo2bob3o4b2o4b2o
4b2o4b2o4b2o21bo2bobobo2bobobo2b2o5b2o5b2o5b2o5b2o18bobo4b3o6b2o6b2o6b
2o6b2o$2obo4bob3o2b2o2b3o2b3o2b3o2bo6bo4b2obo14b2o4bo2b4o2b4o2b4o2b4o
2b4o2b4o2b4o18b2o3bob2obo2b3o2b5o2b5o2b5o2b5o2b4o14bo2b5o2b6o2b6o2b6o
2b6o2b2o$b2o3bo2b2obo3b2o3b2o3b2o3b2o14bob2o11bo2bobobo2bobo37bo20b6o
41bo15b3obo37bo$o3b2o2b3obo2b2o2b3o2b3o2b3o2b3ob4ob2o2b2obo11b4ob2ob3o
b37o22bo5b40o19bobob35o$b5o2b2obo30b2obobo17bo3bo3bo3bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2b2o24b3obobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b2o21bob
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b2o$3bo5bobob24ob2o2bo2bobo16b2o3b2o2b
2o61bo$4b5o2bo2bo2bo2bo2bo2bo2bo2b2o2bob2o4bobo$6bo4b2o32bo5$202b2o$
67b2o5b2o63b2o59bo2bo$68bo3bo2bo58bobo2b2o59b2o4bo2bo2bo2bo2bo2bo2bo2b
o2bo$66bo5b2o4bo2bo2bo2bo2bo2bo2bo2bo2bo30bob2o6bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo26b2obob31o$66b5obob31o28bobob36o25bo2b2o3bo7bo7bo7bo2bo$69bob
2ob2o5bo5bo5bo5bo5bo26b2o3bo8bo5bo7bo5bo6bo23bobo3b3o3b5o3b5o3b5o2bobo
$66b5o2bo4b3o3b3o3b3o3b3o3b3obo26b2o7b4o3b4o3b4o3b4o3b3obo23bo2bo3bo7b
o7bo7bo3bo$66bo3b3obo5bo5bo5bo5bo6bo26bo2bo2b2o5bo7bo5bo7bo5bo25b34o$
67b4ob33o28b2o2bob34o33bo2bo2bo2bo2bo2bo2bo2bo2bo$71bo6bo2bo2bo2bo2bo
2bo2bo2bo2bo31b2ob2o4bo2bo2bo2bo2bo2bo2bo2bo2bo2bo30b3o$69b3o2b2o58bob
obobo60bobo$69bo4b2o63b2o!

I'm now convinced that this rule is omniperiodic.

It is very likely so. Unfortunately, I have not been able to get Dean Hickerson's drifter search working properly yet, so I haven't been able to do any searches for signal turners, but I believe that they would be easier to find in this rule than in Life (mostly due to the incredible number of fizzles which can be seen when evolving a randomly seeded pattern).

@Lewis
Wow! I never had the patience to wade through all of the trivial results to find many of the compound periods (I tried to find a period-36 oscillator a while back, but was unsuccessful). These recent discoveries inspired me to do some more searching in this rule.

I managed to find the same period-50 oscillator that was posted above, but with a slightly smaller stator:

Code: Select all

x = 14, y = 13, rule = B3/S234
6b2o$6b2o$10bo$4b7o$2obo6b2o$bob7o$bo3bo4b2o$2b3o4b2obo$b2o7bo2bo$o3b
7ob2o$b3o7bo$3b7obo$5bo2bobo!

Here's a smaller stator for the p61 oscillator:

Code: Select all

x = 15, y = 14, rule = B3/S234
4b2obo2b2o$3bobob5o$3bobobo$2obobobob3o$2obobobobobo$3bobo5bob2o$3bobo
2bo2bobo$2b2ob2o4bob2o$3bobo2b2obo$2bo2bo3bobo$bob3obob4o$2bo4b2o$3b4o
2b2o$5b2o2b2o!

In this slight modification, the p61 rotor deletes a cell, which results in an almost stable object (it falls apart once the p61 rotor goes into that area again). Could another rotor possibly replace the cell (somewhat like Noam Elkies p3 eater oscillator)?\

Code: Select all

x = 14, y = 14, rule = B3/S234
3b2obo2b2o$2bobob5o$2bobobo$b2obobob3o$2bobobobobo$b2obo5bob2o$2bobo2b
o2bobo$b2ob2o4bob2o$2bobo2b2obo$bo2bo3bobo$ob3obob4o$bo4b2o$2b4o2b2o$
4b2o2b2o!

I also noticed this spacefilling wave which fills the plane with a high-density agar:

Code: Select all

x = 428, y = 443, rule = B3/S234
426b2o$426bo2$423b2o2bo$423bo2b2o2$420b2o2bob2o$420bo2b2ob2o$425bo$
417b2o2bob2ob2o$417bo2b2ob2ob2o$422bo2bo$414b2o2bob2ob2ob2o$414bo2b2ob
2ob2obo$419bo2bo$411b2o2bob2ob2ob2o2bo$411bo2b2ob2ob2obo2b2o$416bo2bo$
408b2o2bob2ob2ob2o2bo$408bo2b2ob2ob2obo2b2o$413bo2bo$405b2o2bob2ob2ob
2o2bo$405bo2b2ob2ob2obo2b2o$410bo2bo$402b2o2bob2ob2ob2o2bo$402bo2b2ob
2ob2obo2b2o$407bo2bo$399b2o2bob2ob2ob2o2bo$399bo2b2ob2ob2obo2b2o$404bo
2bo$396b2o2bob2ob2ob2o2bo$396bo2b2ob2ob2obo2b2o$401bo2bo$393b2o2bob2ob
2ob2o2bo$393bo2b2ob2ob2obo2b2o$398bo2bo$390b2o2bob2ob2ob2o2bo$390bo2b
2ob2ob2obo2b2o$395bo2bo$387b2o2bob2ob2ob2o2bo$387bo2b2ob2ob2obo2b2o$
392bo2bo$384b2o2bob2ob2ob2o2bo$384bo2b2ob2ob2obo2b2o$389bo2bo$381b2o2b
ob2ob2ob2o2bo$381bo2b2ob2ob2obo2b2o$386bo2bo$378b2o2bob2ob2ob2o2bo$
378bo2b2ob2ob2obo2b2o$383bo2bo$375b2o2bob2ob2ob2o2bo$375bo2b2ob2ob2obo
2b2o$380bo2bo$372b2o2bob2ob2ob2o2bo$372bo2b2ob2ob2obo2b2o$377bo2bo$
369b2o2bob2ob2ob2o2bo$369bo2b2ob2ob2obo2b2o$374bo2bo$366b2o2bob2ob2ob
2o2bo$366bo2b2ob2ob2obo2b2o$371bo2bo$363b2o2bob2ob2ob2o2bo$363bo2b2ob
2ob2obo2b2o$368bo2bo$360b2o2bob2ob2ob2o2bo$360bo2b2ob2ob2obo2b2o$365bo
2bo$357b2o2bob2ob2ob2o2bo$357bo2b2ob2ob2obo2b2o$362bo2bo$354b2o2bob2ob
2ob2o2bo$354bo2b2ob2ob2obo2b2o$359bo2bo$351b2o2bob2ob2ob2o2bo$351bo2b
2ob2ob2obo2b2o$356bo2bo$348b2o2bob2ob2ob2o2bo$348bo2b2ob2ob2obo2b2o$
353bo2bo$345b2o2bob2ob2ob2o2bo$345bo2b2ob2ob2obo2b2o$350bo2bo$342b2o2b
ob2ob2ob2o2bo$342bo2b2ob2ob2obo2b2o$347bo2bo$339b2o2bob2ob2ob2o2bo$
339bo2b2ob2ob2obo2b2o$344bo2bo$336b2o2bob2ob2ob2o2bo$336bo2b2ob2ob2obo
2b2o$341bo2bo$333b2o2bob2ob2ob2o2bo$333bo2b2ob2ob2obo2b2o$338bo2bo$
330b2o2bob2ob2ob2o2bo$330bo2b2ob2ob2obo2b2o$335bo2bo$327b2o2bob2ob2ob
2o2bo$327bo2b2ob2ob2obo2b2o$332bo2bo$324b2o2bob2ob2ob2o2bo$324bo2b2ob
2ob2obo2b2o$329bo2bo$321b2o2bob2ob2ob2o2bo$321bo2b2ob2ob2obo2b2o$326bo
2bo$318b2o2bob2ob2ob2o2bo$318bo2b2ob2ob2obo2b2o$323bo2bo$315b2o2bob2ob
2ob2o2bo$315bo2b2ob2ob2obo2b2o$320bo2bo$312b2o2bob2ob2ob2o2bo$312bo2b
2ob2ob2obo2b2o$317bo2bo$309b2o2bob2ob2ob2o2bo$309bo2b2ob2ob2obo2b2o$
314bo2bo$306b2o2bob2ob2ob2o2bo$306bo2b2ob2ob2obo2b2o$311bo2bo$303b2o2b
ob2ob2ob2o2bo$303bo2b2ob2ob2obo2b2o$308bo2bo$300b2o2bob2ob2ob2o2bo$
300bo2b2ob2ob2obo2b2o$305bo2bo$297b2o2bob2ob2ob2o2bo$297bo2b2ob2ob2obo
2b2o$302bo2bo$294b2o2bob2ob2ob2o2bo$294bo2b2ob2ob2obo2b2o$299bo2bo$
291b2o2bob2ob2ob2o2bo$291bo2b2ob2ob2obo2b2o$296bo2bo$288b2o2bob2ob2ob
2o2bo$288bo2b2ob2ob2obo2b2o$293bo2bo$285b2o2bob2ob2ob2o2bo$285bo2b2ob
2ob2obo2b2o$290bo2bo$282b2o2bob2ob2ob2o2bo$282bo2b2ob2ob2obo2b2o$287bo
2bo$279b2o2bob2ob2ob2o2bo$279bo2b2ob2ob2obo2b2o$284bo2bo$276b2o2bob2ob
2ob2o2bo$276bo2b2ob2ob2obo2b2o$281bo2bo$273b2o2bob2ob2ob2o2bo$273bo2b
2ob2ob2obo2b2o$278bo2bo$270b2o2bob2ob2ob2o2bo$270bo2b2ob2ob2obo2b2o$
275bo2bo$267b2o2bob2ob2ob2o2bo$267bo2b2ob2ob2obo2b2o$272bo2bo$264b2o2b
ob2ob2ob2o2bo$264bo2b2ob2ob2obo2b2o$269bo2bo$261b2o2bob2ob2ob2o2bo$
261bo2b2ob2ob2obo2b2o$266bo2bo$258b2o2bob2ob2ob2o2bo$258bo2b2ob2ob2obo
2b2o$263bo2bo$255b2o2bob2ob2ob2o2bo$255bo2b2ob2ob2obo2b2o$260bo2bo$
252b2o2bob2ob2ob2o2bo$252bo2b2ob2ob2obo2b2o$257bo2bo$249b2o2bob2ob2ob
2o2bo$249bo2b2ob2ob2obo2b2o$254bo2bo$246b2o2bob2ob2ob2o2bo$246bo2b2ob
2ob2obo2b2o$251bo2bo$243b2o2bob2ob2ob2o2bo$243bo2b2ob2ob2obo2b2o$248bo
2bo$240b2o2bob2ob2ob2o2bo$240bo2b2ob2ob2obo2b2o$245bo2bo$237b2o2bob2ob
2ob2o2bo$237bo2b2ob2ob2obo2b2o$242bo2bo$234b2o2bob2ob2ob2o2bo$234bo2b
2ob2ob2obo2b2o$239bo2bo$231b2o2bob2ob2ob2o2bo$231bo2b2ob2ob2obo2b2o$
236bo2bo$228b2o2bob2ob2ob2o2bo$228bo2b2ob2ob2obo2b2o$233bo2bo$225b2o2b
ob2ob2ob2o2bo$225bo2b2ob2ob2obo2b2o$230bo2bo$222b2o2bob2ob2ob2o2bo$
222bo2b2ob2ob2obo2b2o$227bo2bo$219b2o2bob2ob2ob2o2bo$219bo2b2ob2ob2obo
2b2o$224bo2bo$216b2o2bob2ob2ob2o2bo$216bo2b2ob2ob2obo2b2o$221bo2bo$
213b2o2bob2ob2ob2o2bo$213bo2b2ob2ob2obo2b2o$218bo2bo$210b2o2bob2ob2ob
2o2bo$210bo2b2ob2ob2obo2b2o$215bo2bo$207b2o2bob2ob2ob2o2bo$207bo2b2ob
2ob2obo2b2o$212bo2bo$204b2o2bob2ob2ob2o2bo$204bo2b2ob2ob2obo2b2o$209bo
2bo$201b2o2bob2ob2ob2o2bo$201bo2b2ob2ob2obo2b2o$206bo2bo$198b2o2bob2ob
2ob2o2bo$198bo2b2ob2ob2obo2b2o$203bo2bo$195b2o2bob2ob2ob2o2bo$195bo2b
2ob2ob2obo2b2o$200bo2bo$192b2o2bob2ob2ob2o2bo$192bo2b2ob2ob2obo2b2o$
197bo2bo$189b2o2bob2ob2ob2o2bo$189bo2b2ob2ob2obo2b2o$194bo2bo$186b2o2b
ob2ob2ob2o2bo$186bo2b2ob2ob2obo2b2o$191bo2bo$183b2o2bob2ob2ob2o2bo$
183bo2b2ob2ob2obo2b2o$188bo2bo$180b2o2bob2ob2ob2o2bo$180bo2b2ob2ob2obo
2b2o$185bo2bo$177b2o2bob2ob2ob2o2bo$177bo2b2ob2ob2obo2b2o$182bo2bo$
174b2o2bob2ob2ob2o2bo$174bo2b2ob2ob2obo2b2o$179bo2bo$171b2o2bob2ob2ob
2o2bo$171bo2b2ob2ob2obo2b2o$176bo2bo$168b2o2bob2ob2ob2o2bo$168bo2b2ob
2ob2obo2b2o$173bo2bo$165b2o2bob2ob2ob2o2bo$165bo2b2ob2ob2obo2b2o$170bo
2bo$162b2o2bob2ob2ob2o2bo$162bo2b2ob2ob2obo2b2o$167bo2bo$159b2o2bob2ob
2ob2o2bo$159bo2b2ob2ob2obo2b2o$164bo2bo$156b2o2bob2ob2ob2o2bo$156bo2b
2ob2ob2obo2b2o$161bo2bo$153b2o2bob2ob2ob2o2bo$153bo2b2ob2ob2obo2b2o$
158bo2bo$150b2o2bob2ob2ob2o2bo$150bo2b2ob2ob2obo2b2o$155bo2bo$147b2o2b
ob2ob2ob2o2bo$147bo2b2ob2ob2obo2b2o$152bo2bo$144b2o2bob2ob2ob2o2bo$
144bo2b2ob2ob2obo2b2o$149bo2bo$141b2o2bob2ob2ob2o2bo$141bo2b2ob2ob2obo
2b2o$146bo2bo$138b2o2bob2ob2ob2o2bo$138bo2b2ob2ob2obo2b2o$143bo2bo$
135b2o2bob2ob2ob2o2bo$135bo2b2ob2ob2obo2b2o$140bo2bo$132b2o2bob2ob2ob
2o2bo$132bo2b2ob2ob2obo2b2o$137bo2bo$129b2o2bob2ob2ob2o2bo$129bo2b2ob
2ob2obo2b2o$134bo2bo$126b2o2bob2ob2ob2o2bo$126bo2b2ob2ob2obo2b2o$131bo
2bo$123b2o2bob2ob2ob2o2bo$123bo2b2ob2ob2obo2b2o$128bo2bo$120b2o2bob2ob
2ob2o2bo$120bo2b2ob2ob2obo2b2o$125bo2bo$117b2o2bob2ob2ob2o2bo$117bo2b
2ob2ob2obo2b2o$122bo2bo$114b2o2bob2ob2ob2o2bo$114bo2b2ob2ob2obo2b2o$
119bo2bo$111b2o2bob2ob2ob2o2bo$111bo2b2ob2ob2obo2b2o$116bo2bo$108b2o2b
ob2ob2ob2o2bo$108bo2b2ob2ob2obo2b2o$113bo2bo$105b2o2bob2ob2ob2o2bo$
105bo2b2ob2ob2obo2b2o$110bo2bo$102b2o2bob2ob2ob2o2bo$102bo2b2ob2ob2obo
2b2o$107bo2bo$99b2o2bob2ob2ob2o2bo$99bo2b2ob2ob2obo2b2o$104bo2bo$96b2o
2bob2ob2ob2o2bo$96bo2b2ob2ob2obo2b2o$101bo2bo$93b2o2bob2ob2ob2o2bo$93b
o2b2ob2ob2obo2b2o$98bo2bo$90b2o2bob2ob2ob2o2bo$90bo2b2ob2ob2obo2b2o$
95bo2bo$87b2o2bob2ob2ob2o2bo$87bo2b2ob2ob2obo2b2o$92bo2bo$84b2o2bob2ob
2ob2o2bo$84bo2b2ob2ob2obo2b2o$89bo2bo$81b2o2bob2ob2ob2o2bo$81bo2b2ob2o
b2obo2b2o$86bo2bo$78b2o2bob2ob2ob2o2bo$78bo2b2ob2ob2obo2b2o$83bo2bo$
75b2o2bob2ob2ob2o2bo$75bo2b2ob2ob2obo2b2o$80bo2bo$72b2o2bob2ob2ob2o2bo
$72bo2b2ob2ob2obo2b2o$77bo2bo$69b2o2bob2ob2ob2o2bo$69bo2b2ob2ob2obo2b
2o$74bo2bo$66b2o2bob2ob2ob2o2bo$66bo2b2ob2ob2obo2b2o$71bo2bo$63b2o2bob
2ob2ob2o2bo$63bo2b2ob2ob2obo2b2o$68bo2bo$60b2o2bob2ob2ob2o2bo$60bo2b2o
b2ob2obo2b2o$65bo2bo$57b2o2bob2ob2ob2o2bo$57bo2b2ob2ob2obo2b2o$62bo2bo
$54b2o2bob2ob2ob2o2bo$54bo2b2ob2ob2obo2b2o$59bo2bo$51b2o2bob2ob2ob2o2b
o$51bo2b2ob2ob2obo2b2o$56bo2bo$48b2o2bob2ob2ob2o2bo$48bo2b2ob2ob2obo2b
2o$53bo2bo$45b2o2bob2ob2ob2o2bo$45bo2b2ob2ob2obo2b2o$50bo2bo$42b2o2bob
2ob2ob2o2bo$42bo2b2ob2ob2obo2b2o$47bo2bo$39b2o2bob2ob2ob2o2bo$39bo2b2o
b2ob2obo2b2o$44bo2bo$36b2o2bob2ob2ob2o2bo$36bo2b2ob2ob2obo2b2o$41bo2bo
$33b2o2bob2ob2ob2o2bo$33bo2b2ob2ob2obo2b2o$38bo2bo$30b2o2bob2ob2ob2o2b
o$30bo2b2ob2ob2obo2b2o$35bo2bo$27b2o2bob2ob2ob2o2bo$27bo2b2ob2ob2obo2b
2o$32bo2bo$24b2o2bob2ob2ob2o2bo$24bo2b2ob2ob2obo2b2o$29bo2bo$21b2o2bob
2ob2ob2o2bo$21bo2b2ob2ob2obo2b2o$26bo2bo$18b2o2bob2ob2ob2o2bo$18bo2b2o
b2ob2obo2b2o$23bo2bo$15b2o2bob2ob2ob2o2bo$15bo2b2ob2ob2obo2b2o$20bo2bo
$12b2o2bob2ob2ob2o2bo$12bo2b2ob2ob2obo2b2o$17bo2bo$9b2o2bob2ob2ob2o2bo
$9bo2b2ob2ob2obo2b2o$14bo2bo$6b2o2bob2ob2ob2o2bo$6bo2b2ob2ob2obo2b2o$
11bo2bo$3b2o2bob2ob2ob2o2bo$3bo2b2ob2ob2obo2b2o$8bo2bo$2o2bob2ob2ob2o
2bo$o2b2ob2ob2obo2b2o$5bo2bo$bob2ob2ob2o2bo$2ob2ob2obo2b2o$2bo2bo$2ob
2ob2o2bo$2ob2obo2b2o$2bo$2ob2o2bo$2obo2b2o2$2o2bo$o2b2o2$bo$2o!

What's the highest density stable agar in this rule?

[Lewis]

A new record for highest-period oscillator (p101): (only 66 cells!)

Code: Select all

x = 35, y = 14, rule = 234/3
2o4bob2o4b2o$o5b2obo4bo$bo2b2o4b2o3bo6bo2bobo2b2o$2o3bo5bo2b2o
6b4ob5o$4bo5bo$2o2b2o4b2o2b2o6b5o2b3o$o4bo5bo2bo7bo8bo$bo2bo5b
o4bo3b2obobo2b2o2bob2o$2o2b2o4b2o2b2o3b2obobo2b2o2bob2o$5bo5b
o10bo8bo$2o2bo5bo3b2o6b5o2b3o$o3b2o4b2o2bo$bo4bob2o5bo6b4ob5o
$2o4b2obo4b2o6bo2bobo2b2o!

EDIT: A p71:

Code: Select all

x = 35, y = 18, rule = 234/3
20b2o$20b2o2b2o3bo$ob2o5b2o13bo3bobo$2obo6bo9b4ob4obo$4b2o3bo
9bo3bobo4bob2o$5bo3b2o8b3obo3b3obobo$4bo16bobo2b2obobo$4b2o3b
2o11b3o4bobo$2b2o6bo12bo4b2obob2o$3bo5bo13bo4b2obob2o$2bo6b2o
11b3o4bobo$2b2o17bobo2b2obobo$2o7b2o8b3obo3b3obobo$bo8bo8bo3b
obo4bob2o$o8bo10b4ob4obo$2o7b2o13bo3bobo$20b2o2b2o3bo$20b2o!

EDIT 2: Another p71:

Code: Select all

x = 26, y = 20, rule = 234/3
10b2o2b2o$7bo2bo4bo2bo$6bobobo4bobobo$6bobob2o2b2obobo$4b2obo
bob4obobob2o$3bobobobo6bobobobo$3bo2bo2bo2b2o2bo2bo2bo$2obobo
b2o8b2obobob2o$2ob3o2b4o2b4o2b3ob2o$4bo5bo4bo5bo$4bo5bo4bo5bo
$2ob3o2b4o2b4o2b3ob2o$2obobob2o8b2obobob2o$3bo2bo2bo2b2o2bo2b
o2bo$3bobobobo6bobobobo$4b2obobob4obobob2o$6bobob2o2b2obobo$6b
obobo4bobobo$7bo2bo4bo2bo$10b2o2b2o!

and a P97:

Code: Select all

x = 47, y = 20, rule = 234/3
26b2o2bobo2bobo2b2o$26b2o2b3o2b3o2b2o2$2bob2o4bob2o10b20o$2b2o
bo4b2obo10bo18bo$2o4b2o6b2o9b18o$bo5bo7bo6b3o18b3o$o5bo7bo6bo
3b7o4b7o3bo$2o4b2o6b2o5b2o2bo16bo2b2o$2bob2o6b2o9bobo5b2o2b2o
5bobo$2b2obo7bo9bobo5b2o2b2o5bobo$6b2o4bo8b2o2bo16bo2b2o$7bo4b
2o7bo3b7o4b7o3bo$6bo3b2o10b3o18b3o$6b2o3bo13b18o$2bob2o4bo13b
o18bo$2b2obo4b2o12b20o2$26b2o2b3o2b3o2b2o$26b2o2bobo2bobo2b2o
!

Here's the latest version of the oscillator collection (I've moved things around to make it clearer and to leave more space for new oscillators):

Code: Select all

x = 1022, y = 611, rule = 234/3
423b2o$329bo93b2o$328bobo$328bobo87bo2b4o$306bo19b2obob2o85b4o
3bo16bobo6bobo214bo$305bobo19bo3bo60bob2o26b3obo15b2obo4bob2o
213bobo$118b2o15bo8b2o23bo3bo6bo20b2o24b2o2b2o32bo40bo20bo3bo
60b2obo5b2o13b6o2bobo18bo4bo217bo$20b2o13bo29b2o2b2o3b2o4bo4b
o8b2o6b2o4bo3bo6bo8bobo3bobo8bo5b2o2b2o5b2o4bobo2b3o3bobo11b2o
6bo25bo3bo31b3o58b2obo3bob2o61b2o4bo12bo6bobobob2o10b7o2b7o$20b
o8b2o3bobo11b2o3b2o10bo3bobo2bo4bobo2bobo7bobo5bo3b3o2bobo4bo
9b2obo3bobo6bo5bobo2bobo3bo2bo2bo2bo5bo3bobo4b2obo2b2o5b2o26b
o3bo15bobo8b2obo5bo31bobob5o15b2obobobob2o62bo3bo9b2obob5obob
obobo10bo16bo206b2ob5ob2o$21bo7b2o4bo12bobo3bo11bo3b2o4bo2bob
o3bobo7bobo2bobo3bo4bo2bo2bo12bo5bobo2bobo3bobo6bobo2bo2bo2bo
bo5bo6bo3bo2b2o4b2o3bo26b2o2b2o10b2ob5o9bobob5o31b3obo3bo12bo
5bo3bo5bo58bo4b2o8b2obobo5bobobobo10bob5o4b5obo205bobobobobob
obo275b2o2b2o$20b2o27bo4b2o9b2o8b2o3bo5bo9bo3b2o3b2o5b2o3b2o11b
2o5bo3b2o4b2o8b2o3b2o4bo6b2o5b2o2b2o7b2o2b2o43bobo12bo2bobo6b
o2bo2bo2bo2bo2bo2bo15b2obob2o9b6o5b6o58b2o4bo11bobob5o3bob2o7b
2obo4bo4bo4bob2o59bob2o17bo122bobo7bobo247b2o23bo2bo4bo2bo$227b
2o2b2o11bobobo10bob2ob28o10b3o3bobo8b2o17b2o52bob2o5bo12b2obo
3b5obobo6bo3bo5bo2bo5bo3bo58b2obo5b2o10b3ob2o116b2obo7bob2o246b
2o2b2o3bo14bobobo4bobobo$20b2o205bo3bo9b2ob2ob4o5b2obo14bo9bo
7bo9bo5bobo7bo2bo3bo7bo3bo2bo51b2obo5b2o12bobobobo5bobob2o3bo
3bo5bo2bo5bo3bo62b2o4bo5bo6bobo120b2o5b2o229bob2o5b2o13bo3bob
o13bobob2o2b2obobo27b2o4bob2o4b2o$20bo207bo3bo8b2obo2bo3bo4bo
b6o2b8o3b8o3b4obo5b2obo5bobob2o5b2o17b2o50b2o10bo12bobobobob5o
bob2o4b2obo4bo4bo4bob2o64bo3bo5bobob5obo95b2o23b2o5b2o229b2ob
o6bo9b4ob4obo11b2obobob4obobob2o25bo5b2obo4bo$21bo133bo71b2o2b
2o11b2o3b3o6bo14bo11bo6bo6b2ob3o3bobo2bo7b6o5b6o53bo9bo12b2ob
obobo6bo10bob5o4b5obo65bo4b2o4bobobo3bobob2o87bobo2b2o20b2obo
7bob2o67b2ob2o78bob2o13b2o2b2o57b2o3bo9bo3bobo4bob2o7bobobobo
6bobobobo25bo2b2o4b2o3bo6bo2bobo2b2o$20b2o109b2o5b2o15b3o3bob
o19bo7bo7bo44bobobobo7b34o13b2obob2o9bo5bo3bo5bo52bo10b2o14bo
bo2b6o11bo16bo65b2o4bo3b2obobob3obobo88b3o20bo2bobobo7bobobo2b
o41bob2o14b2o2bo3bo2b2o74b2obo4b2o7b2o2b4o56bo3b2o8b3obo3b3ob
obo7bo2bo2bo2b2o2bo2bo2bo24b2o3bo5bo2b2o6b4ob5o$29bo5bob2o2b2o
4b2o22bo4b2o4b2o4b2o4b2o5b2o4b2o4b2o4b2o9bobo4bobo2bobo5bo7bo
2b2obo3bob2o4bob2o3b3o4bobo5bobo26b2o2b2o8b2obobobobo20bo2bo2b
o2bo2bo2bo2bo9b4obo3bo15b2obobobob2o55b2o10bo14bob3o18b7o2b7o
62bob2o5bo5bobobobo3bobo69b2o4b2o2b2o10b6o12b3o2b2o2bobobobob
o2b2o2b3o39b2obo4b2o7bo2bob2ob2obo2bo71b2o9bo9b2o4bo54bo16bob
o2b2obobo6b2obobob2o8b2obobob2o25bo5bo$20b2o7b3o3b2obo2bo2bo2b
o8b2o5b2o6b3o2b2o4bobo3bobo3bo2b2o2bo2bo2bo5bo5bo2b2o5bo6bo5b
2obo3bobo5bo5bobo2b2ob3o2b2o2bo4bo4b2obo3bobobo25bo3bo9b2obob
obob2o8b4o2b3o30bo2bob5o15b2obo3bob2o57bob2o5bo16bo3b4o19bo4b
o67b2obo5b2o4bob3ob3obob2o69bo5bo3bo5b4obobobobo10bo9b2obob2o
bo9bo36b2o9bo6bob2obobobobob2obo71bo8bo6b4obob3obo53b2o3b2o11b
3o4bobo6b2ob3o2b4o2b4o2b3ob2o21b2o2b2o4b2o2b2o6b5o2b3o$20bo11b
o4bo4b3o3b3o2bobo2bo2bo2b3o2b2o2bo4b2o3bobo3bobo3b3o4b3o3b3o3b
3o3bobo3bobo6bo7bobo3bobo4bo6b2o8bo5bobo3b3o5bo4bobo27bo3bo11b
obobo11bo2bo2bobo58bo3bo60b2obo5b2o16b4o2bo16b2obo4bob2o68b2o
4bo5bo4bobobo71bo5bo3bo6bo2bobo3bobo10b10obobobobob10o37bo8bo
5bo2bobo3bobo3bobo2bo68bo9b2o6bobo3bo2bo52b2o6bo12bo4b2obob2o
7bo5bo4bo5bo25bo4bo5bo2bo7bo8bo$21bo7b3o5b2o2b2o4b2obo2b2o2b2o
2b2o3bo2b2o7bobo3bobo4bo5bo6b2o4bo6bo3b2o3b2o6bo8b2o3b3o5b2o22b
o6bo5b2o4bo27b2o2b2o11bobobo57bo20bo3bo110bobo6bobo69bo3bo7b5o
bobo71b2o4b2o2b2o8bobo3bobob2o11b2o3b2o2bobo2bo4b2o40bo9b2o4b
2obobo3bobo3bobob2o68b2o9bo6bobo3bobo54bo5bo13bo4b2obob2o7bo5b
o4bo5bo26bo2bo5bo4bo3b2obobo2b2o2bob2o$20b2o7bo49bo5bo5b2o17b
2o4b2o16b2o12bo96b2ob2o55bobo18b2obob2o86b2o101bo4b2o11b2ob2o
72bob2o5bo7b2obo3bobob2o7b2o6bo4bobo3b2o6b2o36b2o9bo5bobob2ob
2ob2ob2obobo71bob2o4bo4b2obo2bo2bob2o52bo6b2o11b3o4bobo6b2ob3o
2b4o2b4o2b3ob2o21b2o2b2o4b2o2b2o3b2obobo2b2o2bob2o$306bo21bob
o88b2o101b2o4bo6b3obo77b2obo4bo11bo3bobo7bo2bo8b4o3b4o8bo2bo35b
ob2o4bo6bobobobobobobobobobo71b2obo4b2o4bobo5bobo53b2o17bobo2b
2obobo6b2obobob2o8b2obobob2o26bo5bo10bo8bo$328bobo187bob2o5bo
7bobobo81b2o2b2o10bo3bobo6bobob2o6bo11bo6b2obobo34b2obo4b2o4b
2obobo3bobo3bobob2o68b2o4b2o3bo3b2obo3bobobo51b2o7b2o8b3obo3b
3obobo7bo2bo2bo2b2o2bo2bo2bo24b2o2bo5bo3b2o6b5o2b3o$261b2ob2o
16bo46bo188b2obo5b2o9bo83bo3bo7b2obo3bobob2o4bo2bo8b4o3b4o8bo
2bo39b2o3bo7bobobobobobobobo72bo5bo2bo7bobobobobob2o49bo8bo8b
o3bobo4bob2o7bobobobo6bobobobo24bo3b2o4b2o2bo$260bobobobo14bo
bo137b2o198bo3bo9bobo3bobob2o7b2o6b2o3bobo4bo6b2o43bo2bo8bobo
bobobobobobo71bo5bo3b2o6b3obobobob2o48bo8bo10b4ob4obo11b2obob
ob4obobob2o26bo4bob2o5bo6b4ob5o$259bobobobobo11b4obo136b2o198b
2o2b2o5bo2bobo3bobo14b2o4bo2bobo2b2o3b2o46bo3b2o6b2ob4o3b4ob2o
70b2o4b2o3bo10bobobo51b2o7b2o13bo3bobo13bobob2o2b2obobo27b2o4b
2obo4b2o6bo2bobo2b2o$245b2o12bobo3bobo10bo3bobo37bo92bo2bo6bo
2bo10bo2bo179bo3bo5b4obobobobo10b10obobobobob10o42b2o3bo95bob
2o4bo7b5obobo71b2o2b2o3bo14bobobo4bobobo$245bo2b2o8b2obo3bob2o
8bobo2bobob2o33bobo91b14o10b4o178bo3bo11b6o11bo9bob2obob2o9bo
38bob2o4bo12b2o3b2o77b2obo4b2o6b2o2bob2o72b2o23bo2bo4bo2bo$247b
2obo10bo3bo10bobo3bobob2o33bobo109b2obo9b2o173b2o2b2o7b3o18b3o
2b2o2bobobobobo2b2o2b3o39b2obo4b2o11b2o3b2o201b2o2b2o$243b4ob
obo7b2obo3bob2o7bo7bo14b2o5b2o11b2obob2o89b2ob2o4b2ob2o5bob9o
2bo186bobo2b2o16bo2bobobo7bobobo2bo$242bo5bobob2o3bobobobobob
obo5b2o8b5o8bobo5bobo11bo3bo88bo2bobo6bobo2bo2b2o4bo4b2o193b2o
20b2obo7bob2o$242bob2o4bob2o3bobobobobobobo4bob4o10bo7bob2o3b
2obo10bob3obo87b2obo2bob2obo2bob2o5b4o2b2o220b2o5b2o$241b2obo
4b2o5b2obobo3bobob2o4bo10b4obo3b2obo9bob2o4bo2bo5bo2bo87bo2bo
4bo2bo5b2obobo4b3o218b2o5b2o$244bo4b2o8bobobobobo8b5o8b2o4b2o
bo9bob2o3bobobo5bobobo86b2o3b2o3b2o6bo2bo4b2o2bo214b2obo7bob2o
$244b2o4bob2o5bobobobobo13bo7bo8bo3bobo3bo7bo2bo5bo2bo105b2ob
obobo2b3o215bobo7bobo$248bobob2o4b2obo3bob2o9b2obobo3bobo8b5o
b5o10bob3obo90b12o7bobob6o217bobobobobobobo$242b5obobo10bo3bo
12b2obobo2bobo13bobo15bo3bo91bobo6bobo7b2o205bo20b2ob5ob2o$242b
o4b2obo7b2obo3bob2o12bobo3bo12b3ob3o12b2obob2o94bo2bo17b2o189b
o2bo2bob3o$245bo2b2o9bobo3bobo13bob4o13bo5bo14bobo95b2o2b2o16b
2o189b7obo27bo$245b2o12bobobobobo14bobo36bobo316b5obo20bobo$260b
obobobo16bo38bo311b6obo2b3o21bo$261b2ob2o367bo3bobobobo$633b2o
2b10o$630b2obo3bo8bo$631bo2b11obob2o$631b3o10b3ob2o$634b10o$633b
o10b6o$634b3o2b3o2bo2bobo$636bo2bobo16$18bob2o$18b2obo$22b2o69b
o$23bo68bobo22b2o$22bo10bo59bo10bo12b2o$22b2o7b3o19b2o26bobo19b
obo$18bob2o8bo3b2o11bo6bo3b2ob2o3bobo3b2o5b2o2bo7b5o7bob3o9b4o
6b2ob2o148bobo252b2o3b2o$18b2obo8bo3bo5b3o2b2o4b2ob2o2bo3bo4b
o4bo8b2obo2b2obob2obo6b2o4bo7bo3bo4bo2bobo149b3o252bo5bo$16b2o
11b2o3bo12b2o5b2o3bo5b2ob2o3bobo3bob2o4b2ob2o2b2ob2o2bo4b2o8b
o3bobo2b2obo2bo91b2o4bob2o37b2obo44b2o216bo3bo$17bo13b3o12bo5b
obo5bobo4bo8bo3bo2b2o5bob2obob2o3b3obo6b2obo2bob2o5bo2bo91bo5b
2obo22b2o12bob3o8b3obobo26bo3bo2bo210b3obobob3o$16bo14bo21b2o
6b2o3bobo6b2o3bobo7b5o9bobo5bobo2bobo8bo2bob2o89bo8b2o9b2o9b4o
b2o6bo13bobob3o9bobobo2bo9b5obobo90b2o30bob2o59b2obo6b2obo9bo
2bobobobo2bo69b2o3b2o4b2obo15bo2bo$16b2o87bo7bobobobo9bobo2bo
88b2o9bo9b2o12bobo6bob3o3b2o2b2obo15b3ob4o14bobobo64bob2o6bob
2o8bobobo14b2ob2o11b3o2bo57bob2o6bob2o8bobobobobobobobo68b2o3b
2o4bob2o11b2o2b4o$18bob2o70bo21b2ob2o9b2ob2o100bo19b5o2bo6bob
o2bo2bo4bobo2b4o12b2o14bo2bobobo64b2obo6b2obo8b2o13bo2bobobob
o14b2o61b2o8b2o6bobobobobobobobo83b2o9bo9bo$18b2obo69bobo129b
2o8b2o7b6o6bo2b5o2b2obob3obob2o3bob2ob2obo7b12o7b6obob2o67b2o
8b2o8b5o8b4obobobo12b2obob2o58bo9bo6b2obobobobobobob2o67b2o3b
2o8bo5bob2ob11o$92bo130bo5bob2o8bo6bo5bobobobo3b2obobo3bo2bo2b
2obo3bobob2o3bo4bo2bo4bo5bo7bobo69bo9bo6b2obobobob2o7bob2ob2o
b2o8bobo3bobo58bo9bo8bobobobobobo70bobobobo9bo4b3obo3bo$224bo
4b2obo8b2o3b3o4b2obobobo6b2o2b3obo6bobobobobo4bob2o6b2obo6b7o
2bo68bo9bo6bobo3bobobo5b2obo7bo2bo6bobo3bobo57b2o8b2o8bo3bobo
3bo72bobo10b2o8b2o5b5o$34b2o187b2o2b2o25bobob4o5bo6bo7b3obobo
bo3b2obo2bo2bo2bob2o14b2o67b2o8b2o5bobo3bobob2o3bobobo7bob2o3b
2obo2bo2bob2o52b2obo6b2obo7b2obobobobobobob2o68b2obo6b2obo6b2o
bo11bo$34b2o192bo12b8o5bobo11b6o12bobob2o5b3o4b3o10b2o3b2o65b
ob2o6bob2o6b2obo3bobo6bo3bo7bo7bobo5bobo53bob2o6bob2o5bo2bobo
3bobo3bobo2bo70b2o4bob2o7bob2o7b2obob2o$76b2o20b2o2b2o25bo93b
2o2bo13bobo2bobo4b2ob4o22b3obobo8bo8bo10bo5bo65b2obo6b2obo7bo
bo3bobo7b4o7bo6b2obo5bob2o56b2o2b2o9b2obob2ob2ob2ob2obob2o71b
o2b2o11b2o10bobob2o$32b4o21bo8b2o7bobo7b2o3b2o2b2o2bo4bo7bo14b
obobob2o89bo3b2o29b2o10b2o10bobob3o9b8o12b5o64b2o8b2o11bobobo
bob2o9bob2ob2ob2o8bo5bobo57bo3bo13bob2ob2ob2ob2obo73bo3bo14b3o
5b3obo$28b2obo4bo9b2o5bobobo5bobobo5bo11bo4bo2bobo3b4o7bobobo
2bo6b3obobob2o90bo4bob2o37b2o116bo9bo10b2obob3o3bo7b2obobobo11b
obobobobo58bo3bo12bobo3bobo3bobo73b2o3bo11b2o5bo6bo$28b2obo4b
o7bo2bo7bobo5bo7b2o2bo6bob2o5bo15bo2bobob4o5bo4bobo92b2o4b2ob
o55b3o9b4o16bo66bo9bo11b2obobo2b3o7bo2b2obobo10b2ob3ob2o58b2o
2b2o11b2obobobobobobob2o73bo2b2o11bob12o$31bo4bob2o2b3o6b2o10b
o3bo12b2o4b2o6bo11bobobobo10bobo4bo157bobo9bo2bo15bobo65b2o8b
2o13bob3o11b2o3b2o74b2obo6b2obo10bo3bobo3bo75bo5b2obo$31bo4bo
b2o2bo2b2o6bo2bo10bo5bo2b2o6b3o3bobo2bo3b4o4bo2bo4b3o2b2obobo
b3o190bo68bob2o6bob2o9b2o3bo12b3o13b4o59bob2o6bob2o10bobobobo
bobo75b2o4bob2o11b3o2b3o$32b4o9bo9bo7bobobo4bo2bo6bo3bo3b2o2b
2o2bo4bo6b4obobo2b2obobobo261b2obo6b2obo11bobo13bobo13bo2bo80b
2obobobobobobob2o93bobo2bobo$44b2o9bo7b2o7b2o9bobo12b2o2b2o9b
o10bo289b2o115bobobobobobobobo$32b2o48b2ob2o25b2o417bobobobob
obobobo$32b2o498bo2bobobobo2bo$533b3obobob3o$536bo3bo$535bo5b
o$535b2o3b2o21$319bo$313bob2obobob2obo$313b2obobobobob2o$314b
o3bobo3bo$14bob2o133b2o161bo3bobo3bo$14b2obo37bo3bo79b2o10b2o
13b2o143b2obo3bobo3bob2o$18b2o34bobobobo64bo13b2o25b2o8b2o52b
2obo27b2o16b2o13b2o2b2o11b2obo3bobo3bob2o$19bo11b2obo18bo2bob
o2bo8bo27b2o10b2o13b3o21b6o21b2o47b2o3bob2o9b2obo2bo11b2o16b2o
13b2o2b2o7b2o5b2o2bobo2b2o5b2o196bo2bo2bo2bo2bo2bo2bo$18bo12b
ob2o17bo9bo6bobob2o9bobobo10bo13bo12bo10b4o8bo2bobo9b6o56bo7b
2o6bobob4o58b6obo2bobo2bob6o195b6o2b7o2b6o190b2o2b2o$18b2o8b2o
bo11b2ob2o5b2o2bo2b2o8bo3bo8b7o6bo11bobo2bo4bo7bo9bo3bo9bo3bo
b2o3bo2bo5bo5b4ob2o42bo8bo7bobobo3b2o9b4ob2o11b4o9b10o5bo5b2o
bobobobob2o5bo83bobo107bo23bo189b2o2b2o$14bob2o11bobob4o5bobo
bo9bobo13bobob2o5bo5bo6bo2bo7bo4bo5b3o2b2ob2o8bobobob2o5b3obo
bobo2bobobo2b4o5bo2bobobo41b2o8bo3b2obobo2b3o2bo7bobobobo11bo
b2obo7bo4b2o4bo4b2o6bob2ob2obo6b2o56b2obo4b2obo15b3o20bo9bobo
5bobo66bo2b9ob9o2bo$14b2obo10bo7bo5bo4bo5b2o2bo2b2o8bo3bob2o4b
obobobobo5bo4bo6bobob2o5b2o13bobo4bobo5bo2bo2bo5bo2bob2o6bob2o
3bobo42bo7b2o4bobo4b2ob2o8bo2bo2bo8bo2b2o2b2o2bo3bo2bo6bo2bo12b
o5bo65bob2o4bob2o9b2obo7bob2o12b3o9b5ob5o65b2obo6bobobobo6bob
2o115bobo65b2ob10ob2o$18b2o8b4obobo9b2o5bo9bo7b4o9b3ob3o8b4o8b
2obo6bob2o2b2o6b2obobobo4b2obobobobo8b2o3b2o2bobo2bob2ob2o40b
o4b2obo5b2obo4b2obo6b2ob2o4bob2o4bobob2o2b2obobo3b2obo4bob2o4b
10o5b10o60b2o6b2o6bobob4ob4obobo10bo16bobo47b2obo4b2obo11bobo
2b2ob4ob4ob2o2bobo64b2o3b2o2bob2o13bo2b2ob2o2bo13b5o41bob2o5b
ob2o12bobobo4bobobo12bobobo$19bo13bob2o6b2ob2o5bo2bobo2bo23bo
bo8bobo2b2o7bo7bob2o3bobo9bo3bo4b2ob5ob2o11bobo3bob3o2bo43b2o
3bob2o8bob3obob2o5b2obo4b2ob2o5bo2bo4bo2bo6bo6bo5bo25bo59bo7b
o8bobobobobobobobo11b4o9b4o3b4o43bob2o4bob2o11bobobo3bo2bobo2b
o3bobobo64b2o3b2o2b2obo12bobo2bobo2bobo11bo46b2obo5b2obo10bob
obo2b4o2bobobo10b3ob3obobo133bob2o4bob2o14bo2bo$18bo11b2obo20b
obobobo11b2o22b2o11b2o7b2o2b4o11b4o23b4obo5bo3bobo44bo7b2o6b7o
bo9bo2bo2bo11bob2obo7b2obo4bob2o4b10o5b10o61bo7bo4b3o2bob2o3b
2obo2b3o6b2obobo9bobo5bobo47b2o6b2o8b2obobo3b2obobob2o3bobob2o
76b2o10bobob2ob2obobo11b8o37b2o13b2o7bobobob2o4b2obobobo15bob
3o133b2obo4b2obo7b2o3b6o$18b2o10bob2o21bo3bo12b2o47b2o2b2o24b
o12bo2bob2o5bo2b2o44bo8bo15b2o8bobobobo12bo2bo7bo2bo6bo2bo12b
o5bo69b2o6b2o4bob6o5b6obo5bob3obob2o3b2obobobobobobob2o44bo7b
o12bo7b2ob2o7bo66b2o3b2o7bo8bobob2obobob2obobo6b2obo2b2o3bo37b
o14bo7bobo3bobo2bobo3bobo9b6o5b2o135b2o6b2o6bo2bo8bo$14bob2o119b
2o11bobo22b2o48b2o8bo8b7o8b2ob4o14b2o9bo4b2o4bo4b2o6bob2ob2ob
o6b2o56b2obo4b2obo9bobob2o3b2obobo8bob3obobo4b2obobobobobobob
2o45bo7bo11bob3o2b2o3b2o2b3obo66bobobobo6bo8bobobobobobobobob
obo6bob2o5b2o36bo14bo5b2obob3obobo2bobob3obob2o5bo6b4obo137bo
7bo5b2obob9o$14b2obo119b2o12bo74bo7b2o8bo2bo2bo41b10o5bo5b2ob
obobobob2o5bo56bob2o4bob2o9bobob2o3b2obobo5b2obo3bobobo7bob3o
b3obo47b2o6b2o8b2ob3obobo7bobob3ob2o65bobo8b2o7bobobo3bobo3bo
bobo4bobo2bo6bob2o33b2o13b2o4b2obo4bo8bo4bob2o6b4obo3bobo136b
o7bo9bo4b2o$225bo4b2obo30b2o42b6obo2bobo2bob6o55b2o12b2o4bob6o
5b6obo2bo2bobobobob2o6bob2o3b2obo43b2obo4b2obo11bobobo2b2o7b2o
2bobobo65b2obo4bob2o8b2obobo3bobo3bobob2o3b2ob2o6b2obobo34bob
2o5bob2o9bo18bo14b5ob2ob2o132b2o6b2o8b2o7b2o$225b2o3bob2o30b2o
28b2o2b2o7b2o5b2o2bobo2b2o5b2o54bo13bo5b3o2bob2o3b2obo2b3o3b2o
b2obobo7bobob2o3b2obobo41bob2o4bob2o11bob6o9b6obo69b2o2b2obo9b
obobo3bobo3bobobo7bo10bobo34b2obo5b2obo9bo18bo9b3o3bobobobob2o
130b2o4bob2o20bo2bo$244b2o48b2o2b2o11b2obo3bobo3bob2o59bo13bo
7bobobobobobobobo7bobo2bobo7b2ob2o5b2ob2o45b2o6b2o8b2o23b2o69b
o6b2o6b2obob2ob2ob2ob2obob2o6b2o7b2obo39b2o7b2o4b2obo4bo8bo4b
ob2o5bobobo5bo2bo134bo4b2obo10b3o6b2obobo$245bo65b2obo3bobo3b
ob2o58b2o12b2o6bobob4ob4obobo5b2obob2o2b2o8bo2bobo2bo48bo7bo10b
ob6o9b6obo69bo8bo9bobo3bobo3bobo13b2o5bo41bo8bo4b2obob3obobo2b
obob3obob2o5bobob2o5b3o133bo9b2o7bobo8bo2bo$245bob2o65bo3bobo
3bo63b2obo4b2obo9b2obo7bob2o9bo3bobo9b4ob4o49bo7bo9bobobo2b2o
7b2o2bobobo69b2o6bo10bobo3bobo3bobo9b11o41bo8bo8bobo3bobo2bob
o3bobo9b2obo3bo138b2o9bo6bo3bo6b2o$34bo12b2o12b2o9b2o46bobo119b
2obobobo64bo3bobo3bo63bob2o4bob2o15b3o15b2ob2ob2o65b2o6b2o8b2o
b3obobo7bobob3ob2o69bo6b2o7b2ob2obobobobob2ob2o7bo51b2o7b2o7b
obobob2o4b2obobobo12b10o131b2o10bo8b3o3b2o$34b3o10b2o9bobobo9b
2o10b2ob2o8b2o21b3o8bobo2bo57b2o45bo2bobobobo62b2obobobobob2o
89bobo33b2ob2o46b2obo4b2obo13bob3o2b2o3b2o2b3obo71bo3bob2o9bo
bo2bob2ob2obo2bobo10b6o39bob2o5bob2o10bobobo2b4o2bobobo10b3o9b
o132bo10b2o9b10o$31bo5bo20b2o2bobo19bob3o9bo3bo4b2ob2o5bo7bo5b
6o7b2o7b2o35b2o3bo45bo2bo3bo2bo61bob2obobob2obo125b2ob2o46bob
2o4bob2o13bo7b2ob2o7bo71b2o2b2obo12b3o7b3o13bo4bo39b2obo5b2ob
o12bobobo4bobobo12bobo2b2ob2o134bo7bob2o20bo$31b5obo7b6o9b5o7b
4ob2o2b2obo12b2ob3o2bo2bobo6b4ob4o18bobo7bo9bo7b2o10b2o4bo3bo
b2o40bo3b2o4b3o68bo204b2obobo3b2obobob2o3bobob2o90bo7bo17bo66b
2ob10ob2o16b2ob2o134b2o6b2obo13b2ob2o$36bo5bobo2b2o2bobo4b4o7b
o2bo2bobo4bo2bob2o10b2o4b3ob2obo7bobo8b3ob2o9bo5bob2o7bob2o6b
o6b2obobo8bobo41b4o283bobobo3bo2bobo2bo3bobobo116b2o262b2ob2o
$31b2o4b3o2b2obo4bob2o4bo2b4o3bobob2o3b2o2bo2bobobo18bo3b2o4b
3o3b3o4bo5bo8b4o3b2ob2o6bo2bobo2bob2o5b2obo10bob2o44bo4bob2o274b
obo2b2ob4ob4ob2o2bobo189b2o2b2o$31bo3bobobo5bobo2bo8b2o3bo4bo
2bo2b2obo2b3ob2obob2o5b2o6b2o3bo6bobo3bobo4bo5bob2o4b3o2bo6b3o
3b2o3b2o2b2ob2o7b2o4bob3o46b2o4b2obo274b2obo6bobobobo6bob2o188b
2o2b2o$28b2obobobobo7b4obo10bo10b2o2bo9b2o2bo4b3ob2o4bob2ob3o
2bob3o3b3obo3b3ob2obo5bo3b2o6bo2bo4b3o8b3o11b2o49bob3o4bo275b
o2b9ob9o2bo$28bob2ob3ob2o10bo9b3o14b2o5b2o5b2o3bo3bo7bobo2bo2b
2obobobobob2o10bo19b2o4bobo8bo2bo2b2o8b3o47bo2bob3o276bo23bo$
47bo11bo12b4o8bob2o11b2o5b2ob2o7bobobobo6b7o38b2o3b2o8bobo48b
obobo279b6o2b7o2b6o$35b4o8b2o23bo2bo7b2ob2o30b2o3b2o6bobobo107b
o284bo2bo2bo2bo2bo2bo2bo$35bo2bo26$56bobo30b2o154bo41b2o$44b2o
10b3o30b2o23bo33bo94b3o42bo$9b2o4b2o27b2o67bobo31bobo20bobobo
5bobobo57bo30b2o11bo$10bo5bo12bo26b3o6bobo21b4o19bobobo10b2o17b
obobo8b2ob2o6b3ob3ob3ob3o38b2o3b2o4b2o6bo2b3o14b2o9b2o11b5ob2o
14b2o13b2o209b2o2b2o$9bo5bo12bobo8b2ob4o9bobobo5b5o19bobobo18b
obobo7b2o2bo2bo7b2o5bo3bo6bo2bobo13bobo44bo5bo5bo5b2obobobo13b
o7bo6bo12bobo9bo2bo2bo10bobo2bo206bo3bo2bo3bo$9b2o4b2o10bobob
o8bobo3bob2o5bo3bo10bo5bobo7b2obo3bo7bo8b2o2bo2b2o5bo3bobobo2b
obo2bo2b2ob2ob2ob2o3b2o3bo9b2obo3bob2o41bo3bo5bo9bo3bo7b2ob2o
bo7b8o8b3obobo9b4o4bo6b3ob3ob2o61bob2o4b2o4b2o127b4o4b4o$11bo
b2o12bo3bo8bobo3bob2o2b2obo3bob2o2b2o3bo5b2obo7bob2ob2ob2o4bo
bo5bo9bo8bo2bo3b3o6bobo3bobo9bob2o6bobo5bobo40b2o3b2o4b2o8bo3b
ob2o3bobobo2b2o10bo11bobobobob2o10b5o5bo6bobo62b2obo5bo5bo131b
4o23b2o$11b2obo11b2o3b2o4b2obo3bobo5b2obo3bob2o3bo3b2o2b2o3bo
7bobo3bobo4bo3bo3bob3o3b3obo2bo4bo10bo4bobobobobo4b2o3bob2o3b
2obo2bo3bo2bob2o44bob2o7b2ob2o2bobo4bobo3bo8b2o4b2o5b2obo3bob
obo7b2o2bo4b2o3b6obobo2bo63b2o2bo5bo10b2obo2bo12bobo96b3obo2b
ob3o19b2o$15b2o10bo3bo5b2obo3bobo8bo3bo6bo8bo2b3o5b2obobobobo
5bobo5bo9bo3b5o7b2obo4b2obo3bob2o2bo2b2obo6b2obo3bobo3bob2o37b
2o5b2obo8bobo2b2ob2o2b2obo3bo8bo4bobo6bobo3bobob2o6bobo5bo2bo
7bobobobobo63bo2b2o4b2o8bobob4o10b3ob3o94bobob4obobo$16bo10bo
bobo9b4ob2o7bobobo7b5o3bo13bobobob2o4bo8b2o2bo2b2o16b2ob2o6bo
bobo6bobob2o10b4ob4o41bo10b2o5b2ob2o4bo6bobobob2o7b4o7b2obo3b
obo6b2obobo6b2o3b2o5bobo2bo63bo5bob2o10bobo14bo7bo90b2obo2b2o
2b2o2bob2o14b6o$15bo12bobo25b3o10bobo4b3o10bo3bo18bobobo8bo20b
obobo7bo65bo10bo8bob5o6bobobobo4b4o4b4o6bobob3o6b2obob7o5bo3b
obo2bo66b2o4b2obo7b2obobob4o8bo2b2ob2o2bo64bob2o4b2o4b2o9b2ob
obo2b2o2bobob2o14bo4bo82bobo2bobo$15b2o12bo11b2o35bo11b4o18bo
bobo7bobo20bobo25b2ob2o43b2o9bo9bo10b2o2bobobo4bo3bo2bo3bo6bo
bo14bo6bo6b8o63bob2o10b2o6bobobobobo2bo6b3obobob3o64b2obo5bo5b
o12b5o2b5o14b2obo4bob2o78bob2o2b2obo$16bo24b2o13b3o54bobo9bo22b
o26b2ob2o54b2o9b6o5bob2ob2o8b2o2b2o8b2ob5o11b6o78b2obo11bo5b2o
bob2o2bob2o9bo3bo71b2o2bo5bo5b2ob5obob2o2b2obob5ob2o5bobobo4b
obobo77bobob2obobo77bo5bo$15bo40bobo33b2o20bo108b2o10bo14bo5b
o35bo26b4o63b2o14bo9bobo3bo9b3o5b3o69bo2b2o4b2o5bobo3b2o10b2o
3bobo6bo4bo2bo4bo41b2o3b2o2b2o3b2o17b2obobo4bobob2o72b3o5b3o$
15b2o75b2o129bo10bo12bo7b2o33bo15b2o11bo2bo64bo14b2o8b3o3bo9b
o9bo68bo5bob2o7bob2ob2o12b2ob2obo7b3obo2bob3o42b2o3b2o2b2o3b2o
17b2obobob2obobob2o51bob2o2b2o4b2o6bo11bo$224bo9b2o10bobo41b2o
14b2o78bo16bo12bob2o5b2ob2o7b2ob2o65b2o4b2obo5bobo3bob2o10b2o
bo3bobo7b2o4b2o80bob6obo54b2obo3bo5bo6bob4ob4obo$223b2o22bo138b
2o14bo9b5ob2o6bobo3bobo3bobo62bob2o10b2o3b2ob4ob2o10b2ob4ob2o
59b2o3b2o2b2o3b2o15b6obo4bob6o47b2o6bo5bo5b2obobobobobobob2o$
172bobo213bob2o10b2o8bo12bo2bobobobobobo2bo61b2obo11bo6bobobo
14bobobo62bobobobo2bobobobo14bo7b2o2b2o7bo47bo6b2o4b2o5bobo3b
obo3bobo$171bob2o213b2obo23b2ob2o5b3ob4ob4ob3o65b2o8bo7bobobo
14bobobo10b2o4b2o46bobo6bobo17b7o6b7o47bo9bob2o7bobobobobobob
obo$141b2o2b2o12bo11bobob2o69b2o167b2ob2o7bobo7bobo68bo8b2o3b
2ob4ob2o10b2ob4ob2o5b3obo2bob3o43b2obo5b2obo16b2o3bobo6bobo3b
2o46b2o8b2obo6b2ob5ob5ob2o$26bo2bo63bo13b2o12bo2bo16b2o2b2o8b
ob5o6b2obobo2bo69b2o184b3o72bo10bo3bobo3bob2o10b2obo3bobo4bo4b
o2bo4bo46b2o7b2o16bob2o10b2obo50bob2o8b2o8bobo3bobo$26b6o7b2o
b2o8b2o4bo2bo2bo3b2ob2o5b2ob2o8b5o10bo2bo11b6o28b3o3b3o5bobo3b
ob2o253bobo72b2o8bo6bob2ob2o12b2ob2obo6bobobo4bobobo47bo8bo16b
ob2o10b2obo50b2obo9bo8bobo3bobo$32bob2o4b2obo8b2o4b7o2bobobob
o3bobobobo6bo5bo8bob2obo14bobob2o8b10o10bo4bo3b2obo3bob2o65b4o
255bob2o10b2o5bobo3b2o10b2o3bobo7b2obo4bob2o47bo8bo15b2o3bobo
6bobo3b2o52b2o6bo5b2ob5ob5ob2o$28b2o2bob2o3bo28bobobo5bobobo7b
2o3b2o8bob2obo10b4o2bob2o4b2obo2b2o6bob2o4b2o2b3o7bo3bo67bo4b
o254b2obo16b2ob5obob2o2b2obob5ob2o9bo4bo50b2o7b2o15b7o6b7o54b
o6b2o5bobobobobobobobo$27bo4bo6b2obo7bo7b2o3b2o5bo5bob2ob2obo
8bo8b2ob6ob2o7bobobobo8bob2o4bo2b3obo4bo3bo10bobobo67bo4bo15b
2o3b2o260b5o2b5o17b6o51bo8bo14bo7b2o2b2o7bo52bo8bo5bobo3bobo3b
obo$27bo2b3o10bo4b3ob2o4bo5bo4b3o4b2o5b2o5b2o3b2o5b2obo4bob2o
4b2obobob3o7b2obo2b2o6bob2o4b3o3b3o6b3o65b2obo4bob2o12bobobob
o257b2obobo2b2o2bobob2o70bo8bo16b6obo4bob6o53b2o6bo5b2obobobo
bobobob2o$26b2obo9b2obo5bo3bo6b2ob2o14bobobo7b2obob2o9b4o8b2o
bo17b10o10b5obo74b2obo4bob2o9b2obo5bob2o254b2obo2b2o2b2o2bob2o
16b2o52b2o7b2o20bob6obo54bob2o8b2o6bob4ob4obo$26b2ob2o8b2ob2o
8b2o6bobo15bo3bo9bobo27b6o33bo10b3o68b2o2b2o12bobo7bobo257bob
ob4obobo19b2o80b2obobob2obobob2o51b2obo16bo11bo$59b2ob2o4b2ob
2o6bobo10bobo11b2o16bo2bo13b2o2b2o25bobo63b5o6b5o9b3o3b3o259b
3obo2bob3o101b2obobo4bobob2o72b3o5b3o$68b2ob2o5b2ob2o10bo12b2o
33b2o2b2o87b2obo4bo6bo4bo7bo9bo262b4o108bobob2obobo77bo5bo$234b
2obo16bo7bob2o3b2obo258b4o4b4o104bob2o2b2obo$237bo16bob2o3b2o
bo5bob2o257bo3bo2bo3bo105bobo2bobo$237bo4bo6bo4bob2o4bobo5bob
o261b2o2b2o$27b2o101b2o106b5o6b5o8bobo5bobo$27b2o101b2o26b2o14b
o68b2o2b2o14bo2bobo2bo$158b2o13bobo64b2obo4bob2o10b2ob2ob2ob2o
$27b4o11b2o2b2o32b2o14bo2bo2bo2bo2bo2bo2b2o14b4o39bobo64b2obo
4bob2o13bo3bo$26bob2obob2o7bo4bo5b2ob2o8bo2bob2o5bo2bo14b4o2b
4o2b4o2b2o13bo4bo13b2o6b4o10b2obobob2o64bo4bo16b2ob2o$26bo4bo
b2o4b2obo4bob2o2b2obobo7b4obobo4b3o47bob2obobob2o9bo6bo4bo9bo
2bobo2bo64bo4bo$23b2obo4bo7bo2b2o2b2o2bo5bobo5bobo4bobo7b3o10b
24o10bo4bobob2o7bobo4bo2bob2o7b2obo7bob2o62b4o$23b2obo4bo9bob
o2bobo4b3o3b2o3b2ob2obo2b2o3b2o3bo7bo2bo2b2o6b2o6b2o2bo2bo4b2o
bobo4bo10b2o5b4o3b3o4b2obo7bob2o$27b4o9b3o4b3o3bo7bo5bo3bobo4b
o4bob2o3bobob2o4bo2bo4bo2bo4b2obobo3b2obobob2obo7b2o11bob2o2b
o7bo2bobo2bo65b2o$44b2o8b2o2b3o6b2o3b2o3b2o4bob2o4bo2bo2b2o6b
2o6b2o2bo2bo8bo4bo7bobo10bo4bo9b2obobob2o65b2o$29b2o11b6o8bo21b
ob2obo10b24o12b4o8bo13b4o13bobo$29b2o10bo6bo7b5o6b7o3b2obo2bo
57b2o30bobo$41b2o2b3o10bobo6bo2bo2bo7b2o13b2o2b4o2b4o2b4o16b2o
22b2o16bo$45bo50b2o2bo2bo2bo2bo2bo2bo16b2o22b2o18$647bo$426b2o
bo2bob2o210bobo$426bob2o2b2obo211bo$423b2obobob2obobob2o178b2o
3b2o4b2obo$406bo2b2o11bobobobob2obobobobo177b2o3b2o4bob2o10b2o
b5ob2o$382bob2o6b2obo10b5o11b2o2bob6obo2b2o186b2o15bobobobobo
$10bob2o313bo2bo51b2obo6bob2o17bo12bobo4bobo97b2o2b2o5b2o2b2o
67b2o3b2o2bo16bobobobobo$10b2obo208b2o4b2obo68bo2bo21b3o2b3o53b
2o2b2o9b2ob10o6b6o2b2o2b2o2b6o91bo4bo5bo4bo67bobobobo3bo12b2o
bobo3bobob2o$8b2o83b2o127bo5bob2o66b3o2b3o19bo6bo54bo2bo10b2o
bo15bo20bo67bob2o6b2obo11b4o7b4o70bobo4b2o13bobo2bobo2b2obo$9b
o46b2o35bobo89bo2bobobo30bo2b2o32b2ob2o10b2o21bo6bo16b2ob8ob2o
50bo4bo12b2o3b5o7b6o8b6o68b2obo6bob2o8b3o3b4ob4o3b3o66b2obo6b
2obo8b2obo5bo2bo$8bo27bo20bo34b2ob3o69bo6bo10b4ob3o29b2o2bo33b
2ob2o10b2o18bo3b6o3bo14bo4b2o4bo51b2o2b2o12bo6bobo6b2o2bobo8b
obo2b2o71b2o2b2o12bo2b2o4bobo4b2o2bo70b2o4bob2o8bo2bo5b4o$8b2o
12bobob2o7bobo8b2o7bo37b2o3bo24bo18bo12bo10bobo4bobo12b2o37bo
17bo2bo46b4o6b4o13bob2o6b2obo46bob2o6b2obo9b4o2bobob2o5b3o12b
3o74bo2bo14b2o2b3obobob3o2b2o72bo8b2o7bob2o4bo2b2o$10bob2o8b4o
bo6bobobo7bobo5bob4o4b2ob2o21b3o2b4o9bo2bo10bobo15b3o10b5o8bo
bo4bobo9b3o2b3o29b2o2b2o17b4o7bob4ob2o10b4ob2o11b2o4b6o4b2o8b
obo2bo8bo2bobo43b2obo6bob2o6b3o6bobo2bo5b3o12b3o73bo4bo15bobo
bobobobobobo73bo9bo9bo4bobobo$10b2obo13b2o5bo3bo9bo5bo4bo5bob
obo3b2ob2ob2o8bo16b6o9bobobo10b2o2bo10bo2bo3bo6b2ob2o2b2ob2o4b
2obo2b4o2bob2o25bo5b2obo24b2o3bobo11bo2bobo13bo2b3o4b3o2bo9b2o
3b2o6b2o3b2o41b2o14b2o4bo2b5obo2bo5b2o2bobo8bobo2b2o71b2o2b2o
15bobo3bobo3bobo73b2o9bo9b5obobo$14b2o6b3o2bo5b2o3b2o3b2o3b2o
3b3o8b2o3bo3bo3bobo9b3o4b3o6bo8b2o5bobobo10bo14b2o4b2o7bo2bo2b
o2bo6bob10obo27bo4bob2o11b8obo5b4obo8b2obob2obo13bobo10bobo11b
3obo2b2o2bob3o44bo14bo7b2o3bob3o7b6o8b6o68bob2o6b2obo10b2obo3b
obo3bob2o73bo8b2o16bo$15bo6bo4bo5bo2bo2bo3bo19bob2o2b2o3b2o3b
o18bo6b3ob7o2b2obobobob2o6b2o19bo2b2o4bob2o4b2obo4b2obo2b4o2b
ob2o25b2o8b2o9bo6b3o3b2o5bob2o5bobo2b2obob2o7b2obobo10bobob2o
4b3obob2ob6ob2obob3o39bo16bo10bo11bo20bo67b2obo6bob2o13bo3bob
o3bo75bo5b2obo13bo$14bo9b3o7b3obo5b3ob2o3b3o7bo5bo5bo3bob2o6b
4o2b3o21bobo3bob2o7bobo2bo2bo6b2o3bo2bo6bo2bo2bo2bo9b3o2b3o39b
o7b2ob4ob2o7bob2o2bobo8bobo3bobo8bobob2o10b2obobo4bobo5bobo2b
obo5bobo39b2o14b2o11b3o8b6o2b2o2b2o2b6o71b2o8b2o11bo3bobo3bo75b
2o4bob2o12bobo$14b2o7b2o11b2o8bob2o4bo4bo2b2o2b2obo5bo3bob2o6b
o3b2o10b7ob3o3bobo3bo9b2ob2ob4o5bo2bobobobo5b2ob2o2b2ob2o11b2o
32b2o9bo6bobo6b2o6bobo3bob2o6b2ob2o2bobo7b2obobo12bobob2o2b2o
bo5b2o4b2o5bob2o40bob2o6b2obo15bo14bobo4bobo78bo8bo9b2obo3bob
o3bob2o95bo$10bob2o40bob4o3bo3b2o5b2o3bo10b3ob2o9b2o8bo4b2o3b
o15bo8b2o2b2ob2o7bobo4bobo9b4ob3o29bo9b2o8b2o3b3o6b2ob2ob2o9b
o4bobob2o9bobo12bobo8b2o3b2o6b2o3b2o43b2obo6bob2o26b2o2bob6ob
o2b2o73bo10bo9bobo3bobo3bobo$10b2obo41bo7bobobo5bo3bobo12bobo
14b6o7b3o16b2o23bobo4bobo9bo2bobobo30bo4b2obo10bo7b3o6bo3bo6b
2ob4o2b2o12bobo12bobo8b2o3b2o6b2o3b2o83bobobobob2obobobobo73b
2o8b2o9bobobobobobobobo$57bo6b2ob2o4b2ob2ob2o12b2o14bo2bo9bo44b
o6bo47b2o4bob2o11b8obo3b2obo3bobo4b2obo6bo9b2obobo12bobob2o2b
2obo5b2o4b2o5bob2o81b2obobob2obobob2o70bob2o6b2obo9b2o2b3obob
ob3o2b2o$56b2o199bobobo2bobo7b6o11bobob2o10b2obobo4bobo5bobo2b
obo5bobo85bob2o2b2obo73b2obo6bob2o8bo2b2o4bobo4b2o2bo$245b4o7b
2obobob2obo24b2obobo10bobob2o4b3obob2ob6ob2obob3o85b2obo2bob2o
95b3o3b4ob4o3b3o$173b2o70bo2bo11b4obo10b2o16bobo10bobo11b3obo
2b2o2bob3o72bo124b4o7b4o$173b2o101b2o16bo2b3o4b3o2bo9b2o3b2o6b
2o3b2o69bobo122bo4bo5bo4bo$40b2o24b2o7b2o14bo168b2o31b2o4b6o4b
2o8bobo2bo8bo2bobo70bo123b2o2b2o5b2o2b2o$39bo14b2o10bo9bo13bo
bo26b2ob2o3b2ob2o8b2o2bo26b6o83b2o33b4o6b4o13bob2o6b2obo98bob
o$39bobobo10bo3b2o4b2ob4ob4ob2o7b2o2bob3o23bobobobobobobobo5b
3o3b3o23bo6bo12bo104bo3b6o3bo14bo4b2o4bo72b5o20b5o$24b2o7b2o2b
2o13bobo4bo4bobo2bo3bo2bobo6bo2bobobo2bo22b2o2bob3obo2b2o4bo3b
3o3bo21bob2o2b2obo10bobo106bo6bo16b2ob8ob2o70bo5bob2o16bo$24b
o9bo2bob2o2bobo6b2o12bo2bobobo2bo7bo2bo2bo2bo2bo5b2ob2o2bo26b
ob2o5b2obo7b2o2b2o7b2o6b2o9bobobo105b3o2b3o19bo6bo72bobo3b2ob
2o13b2ob5o$25b4ob4o5bobo3bo7bobo10b3o2bo2b3o7bobo3bo3bobo6bob
4obo7b3o3b3o3b3o3bobo2bobo2bobo7bo4bo8bob4obo10bobobo53bo2bo50b
o2bo21b3o2b3o71bobo3bobo17bo5bo$27bo3bo7bob2obo8bob2o3bo5bo9b
o6b3o3bobo3bo6bo3bo2bobo6bo13bo2b2o11b2o3b2ob2o2b2ob2o5bo2b2o
2bo8b3obo2b2o49b3o2b3o75bo2bo70bo2bo6bob3o11bo2b2o3b2ob2o$27b
obobo8bobob2o8bo3b3o7b2o3b2o7bo5b2ob2o10b6obo8b2obo2bo2bob2o5b
obo5bobobo3bobo6bobo2b2ob2o4b2ob2o4bo9bo48bo6bo148bobobo7bobo
bo10b3o6bobo$28bobo24b3o8bo9bo6b5o5b5o9b2obo9bobobobobobo6bo9b
o7b2o4b2o4b2ob2o4b2ob2o3bob3o3b3obo44bo3b6o3bo146bo2bo2bo5bo2b
o2bo9bo2b5ob2o$29bo27b2o7b3o2bo2b3o11b2ob2o5bo6bo2b4o7b2obo2b
o2bob2o3bobobo5bobo7b2o4b2o7bo2b2o2bo7bo9bo45b4o6b4o149bobobo
7bobobo4b3o3bo5bo$66bo2bobobo2bo8bo3bobo3b3o7b2obob2o6bo13bo2b
2o11b2o3bobo6bobo5bob4obo8b2o2bob3o44b2o4b6o4b2o148b3obo6bo2b
o5bobo3bo2b4o$64bobo2bo3bo2bobo5bobo3bo3bobo11bo9b3o3b3o3b3o3b
obo2bobo2bobo4b2ob2o2b2ob2o4b2o6b2o9bobobo47bo2b3o4b3o2bo152b
obo3bobo7b2obo3bobobo$64b2ob4ob4ob2o5bo2bo2bo2bo2bo11bob2o24b
ob2o5b2obo7bo4bo7bob2o2b2obo9bobobo47bobo10bobo149b2ob2o3bobo
9bobobobob2o$66bo9bo8bo2bobobo2bo13bobo6b2o2bob3obo2b2o4bo3b3o
3bo8b2o2b2o8bo6bo11bobo45b2obobo10bobob2o146b2obo5bo9b2ob5obo
$66b2o7b2o9b3obo2b2o23bobobobobobobobo5b3o3b3o24b6o13bo46bobo
b2o10b2obobo150b5o18b2o$88bobo28b2ob2o3b2ob2o8bo2b2o91b2obobo
5b2o5bobob2o169b3o$89bo83b2o64bobo4bo2bo4bobo154bo17bobo$173b
2o64bobo4bo2bo4bobo153bobo$25bo4bobo203b2obobo5b2o5bobob2o151b
o$25b3o2b2obo2b2o28bo2bo167bobob2o10b2obobo$28bobo2bo2b2o2bo2b
o2bo2bo2bo2bo2bob2obo2b4o10bo156b2obobo10bobob2o$23b3o2bo3bob
2o2b22o2b4o4b2o7bobo2bobo153bobo10bobo$24bobob2ob2ob2o2bo21bo
4b2ob2obo6bobo3b3o153bo2b3o4b3o2bo$24bo5bo8bob2o2b3o2b3o2b3o2b
3o3bobo3b2o5bo159b2o4b6o4b2o$23b2obo2bo4bo4b2o3b2o3b2o3b2o4b2o
8b3o10b4o154b4o6b4o$23bob2o2b2ob3o4bob2o2b3o2b3o2b3obob2o2b2o
6bo8bo3bo154bo3b6o3bo$26bobob2o3bobo22bob4o2bob3o6b2obo2bo158b
o6bo$26bobo2bo2b2ob24obobo5bo9bobobo159b3o2b3o$27bobo4b2obo2b
2o2bo2bo2bo2bo2bo2bo2bo2b5o9b2ob2o162bo2bo$28bo32b2o4bo9$647b
2o$647b2o2$647b4o$643b2obo4bob2o$644bob2o2b2obo$644bo2bo2bo2b
o179b2o5b2o$532bo5b2o85b2obo12b2obobob2obobob2o85bo2bo87b2o5b
2o$508bob2o6b2obo9bobo3bo2bo72b2o4b2o4bob2o12b2obobo4bobob2o13b
2o3b2o2b2o61b4o$376bob2o6b2obo11b2o105b2obo6bob2o9bobo2bob2o74b
o5bo2b2o13bo5bobo4bobo5bo9bobo4bo2bo35bob2o6bob2o7b2obo8bob2o
55bob2o6bob2o10b6ob6o$376b2obo6bob2o11bo2bo107b2o2b2o10b2obob
obobo75bo5bo3bo14b7obo4bob7o9bobob3o4bo34b2obo6b2obo7b2ob10ob
2o55b2obo6b2obo9bo5bobo5bo$380b2o2b2o17b2o108bo2bo11bobo2b2ob
ob2o73b2o4b2o3bo21bo4bo15bob2obobob4o33b2o8b2o18b2o60b2o8b2o13b
ob3obobob3obo$381bo2bo14b4o4bob2o101bo4bo12bobo2bobo2bo74bob2o
4b2o13b2ob5o6b5ob2o7b2obobobobo2b4o31bo9bo11b2ob2o6b2ob2o54bo
9bo10b2obobobo5bobobob2o$380bo4bo13bo2b6obo102b2o2b2o11bo2b2o
bobo2bo74b2obo6b2obo8bob2o16b2obob2o6bobobo3bo3bo30bo9bo13bob
o8bobo54bo9bo12bobo13bobo$380b2o2b2o10b2obobo2bo2bobo98bob2o6b
2obo8b2obo3b3o79b2o4bob2o8bo3bo14bo3bob2o6bobobo3bob2o31b2o8b
2o12bobo8bobo54b2o8b2o11bobo13bobo$7bob2o272bobo90bob2o6b2obo
6b2obob2o3b2obob2o95b2obo6bob2o9bo5bo82bo2b2o4b2o3b2obo3bo14b
o3bo8b2obobo3bobo34bob2o6bob2o5b2obobobo4bobobob2o53bob2o6bob
2o6b2ob2o11b2ob2o$7b2obo36bo2bo15b2o39bobo173b3o90b2obo6bob2o
9bo9bo2bo99b2o2b2o4b2o7b2o3b2ob3o77bo3bo5bo4b2obob2o16b2obo7b
o3bobo3bobo34b2obo6b2obo6bobobob2o2b2obobobo54b2obo6b2obo7bob
2o11b2obo$5b2o40b4o15b2o12b2o25b3o11b2o102b2obo8bobo57b2ob2o4b
2ob2o63b2o8b2o4b2o7b3o5b2obo102bo2bo5bo7b2o5bobobo77b2o3bo5bo
7b2ob5o6b5ob2o8b4o2bo3bobob2o35b2o2b2o4b2o4bobobob2o2b2obobob
o52b2o4b2o2b2o4b2o5bobo13bobo$6bo37bo8bo16bo9b2o12bo2bo6bo16b
2o12b2ob2o79b2o4bob2o8b3o43b3o12bobo6bobo65bo8bo5bo13bo3bob2o
100bo4bo5bo7bo5bobo80bo2b2o4b2o15bo4bo19b4obobob2obo36bo3bo5b
o3b2obobobo4bobobob2o52bo5bo3bo5bo4b2obo13bob2o$5bo17bo8bo3bo
7b10o12b5o11b2ob2o7b4o6b6o15bo8bobobobo79bo2b2o41b2o14bobobo10b
2ob2o4b2ob2o63bo10bo5bo7b9obobo100b2o2b2o4b2o7bobobob3o79bo5b
2obo9b7obo4bob7o10bo4b3obobo37bo3bo5bo7bobo8bobo54bo5bo3bo5bo
8bo3bobobobo3bo$5b2o15bobo7b5o28bo5b2o5b4obobo6b2o15bo9b7o8bo
5bo78bo3bo13b3o25bob3o12bo3bo10bobobo4bobobo63b2o8b2o4b2o7bo9b
o98bob2o6b2obo8b2ob4o82b2o4bob2o9bo5bobo4bobo5bo11bo2bo4bobo37b
2o2b2o4b2o6bobo8bobo54b2o4b2o2b2o4b2o7bobob3ob3obobo$7bob2o11b
obo9bo9b3o4b3o11bo3bobo6bo4bob2o6b5o6b2o2b2ob2o6bo11b2obo5bob
2o75b2o3bo11bobobo9bobo12bobo2bo8b2obobobob2o4b2obobo8bobob2o
62bob2o6b2obo12b4o3b2o97b2obo6bob2o15bo103b2obobo4bobob2o13b2o
2b2o3b2o34bob2o6bob2o7b2ob2o6b2ob2o55bob2o6bob2o8b2ob2o7b2ob2o
$7b2obo10b2ob3o7bo9bo8bo8b2obo3bobo4b2obo6bo4bo3bobo4b3o2bo3b
o4b2ob2o3b2o5b2obo5bob2o76bo2b2o11bo3bo7b3ob3o7b2obobobo3bo6b
obo3bobo5b2ob2o10b2ob2o62b2obo6bob2o12bo2bo129b3o103b2obobob2o
bobob2o58b2obo6b2obo14b2o62b2obo6b2obo8bo4bo5bo4bo$5b2o4b2o7b
ob2o3bo6bo6b2obob6obob2o6bo2b4ob2o3b2obo3b3o5b2o2bo5bo3bo2bo2b
o5bo2bobo2bo8bo2bo2bo78bo5b2obo6b2o3b2o2b2obo2bo4bob2o4bobobo
b5o6bobo3bobo246bo108bo2bo2bo2bo82b2ob10ob2o78bob3o5b3obo$6bo
5bo7b2ob4o5b5o5bo2bo6bo2bo7bo15bobo13b2o5b3o4b2o6b2o3b2ob2o4b
2obob3obob2o75b2o4bob2o9bo6bob2o4b3obo5bobobo9b2obobo5b2o4b2o
b2o10b2ob2o330bob2o2b2obo82b2obo8bob2o79b2o9b2o$5bo5bo7b2obob
o7bo3bo4b2o4bo2bo4b2o7b4o11bob5o5b4o9b5o14bo7b2ob2o3b2ob2o76b
o2b2o4b2o4b2obob2o2b2obo2bo4bob2o3b2ob2o3b4o3b2ob3o2b2obo5b2o
bobo8bobob2o329b2obo4bob2o87b4o$5b2o4b2o8b3o22b2o2b2o14b2o12b
o2bobo5bo2bo13bo8b7o10bo5bo78bo3bo5bo6bobobo7b7o10bo7bo5bo6bo
bo8bobobo4bobobo336b4o91bo2bo$7bob2o10bo59b2o21b2o11bo16bobob
obo78b2o3bo5bo5bobobo24b7ob2o4b8ob2o7b2ob2o4b2ob2o$7b2obo93b2o
14b2o13b2ob2o80bo2b2o4b2o6b3o10b3o18bo26bobo6bobo339b2o$120b2o
97bo5b2obo21bobo14b5o9b4o12b2ob2o4b2ob2o338b2o$219b2o4bob2o8b
3o27bobo11bo2bo$237bobo$65b2o$65b2o$22bobo$22b3o40b4o$19bo7bo
6b2o25b2obo4bob2o$19b9o6b2o2bo22b2obo4bob2o12b2o41b2o$37b2obo
7b2ob2o11b2o2b2o12bobo2bo39bo2bobo8b2o2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bobobo3b2o$19b3o3b3o8bo11bo3bo8b3o6b3o9b2ob2o2b2ob2o27b
2ob2o2b2ob2o9b36ob3o2b3o$19bo7bo7b2o3b3o8bo8bo2bo2b2o2bo2bob2o
2b2obo2bob2obobo29bobob2obo2bob2o4bobo35bo2bobo3bo$16b2obob5o
bob2o9bo2bo16bo4bo2bo4bob2o3bob4o6bo2bo5bo5bo5bo5bo2bo6b4obo5b
5o2b4o2b4o2b4o2b4o2b4o2b2obo2b2obo$17bo2bo5bo2bo6bob2o2b2o5bo
b3o3b2obo4bo2bo4bo6b2ob2o5b3o2bo5bo5bo5bo5bo2b3o5b2ob2o11b2o4b
2o4b2o4b2o4b2o4b2o2bobob4o$16b2o4bobo4b2o7bo10b2ob2o3b2obo2bo
2b2o2bo2bo5b2o7bob2o4b23o4b2obo7b2o4b5o2b4o2b4o2b4o2b4o2b4o2b
o4bob2ob2o$21b2ob2o12bobo20b3o6b3o7bobo2bobo4b4o2bo5bo5bo5bo2b
4o4bobo2bobo5bobo35bobo2bobobo2bo$39b2o23b2o2b2o10bob4ob5o2bo
3bo5bo5bo5bo3bo2b5ob4obo7b37ob3ob2ob4o$61b2obo4bob2o8bobo5b2o
bobo25bobob2o5bobo7b2o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo3bo3bo
3bo$61b2obo4bob2o20bo27bo56b2o2b2o3b2o$65b4o2$67b2o$67b2o2$22b
2o5b2o$23bo3bo2bo$21bo5b2o4bo2bo2bo2bo2bo2bo2bo2bo2bo$21b5obo
b31o$24bo2bo6bo5bo5bo5bo7bo$21b2obo3bo3b3o3b3o3b3o3b3o3b4obo$
21bo3bo3bo5bo5bo5bo5bo6bo$22b4ob33o$26bo6bo2bo2bo2bo2bo2bo2bo
2bo2bo$24b3o2b2o232b2o380b2o$24bo4b2o232b2o378b6o$642bo6bo$258b
2ob6ob2o371bob6obo$259bobo4bobo268bo2bo100bo8bo88b2o2b2o2b2o$
259bobob2obobo108bob2o4bob2o13b2o2b2o19b2o2b2o77bob2o4bob2o15b
4o98bob4o2b4obo86b2o2b2o2b2o$258b2obob2obob2o107b2obo4b2obo13b
2o2b2o19b2o2b2o77b2obo4b2obo104bob2o8bobo3bo2bo3bobo82bo14bo$
259bobo4bobo36bo3bo15b2o5b2o47b2o6b2o8bo114b2o6b2o11b8ob2o70b
2o4b2o2b2obo7bo2b2o8b2o2bo81b16o$222bob2o27bo2bo2bobo4bobo2bo
2bo29bobobobob2o12bo5bo49bo7bo8b11o13bob10obo78bo7bo10bo4bo2b
obo72bo5bo6b2o5bobob2o6b2obobo60bob2o4bob2o16b2o$217b2o3b2obo
7b2ob2ob2ob2o9b6o2bob2obo2b6o13bo2bobo8bo2b2obob2obo10bo9bo46b
o7bo14bo5bo12b2o10b2o77bo7bo11bo2b2o2b2obo71bo5bo8bo4b2obob2o
6b2obob2o59b2obo4b2obo9b2ob2o6b2ob2o$218bo7b2o6bobo3bobo18bo4b
o21b6o8b3o2bobobobob2o7b5ob5o46b2o6b2o8b2o5b4obo13b3o4b3o79b2o
6b2o7b2obobobo3bobob2o68b2o4b2o6bo8bo2bo6bo2bo60b2o12b2o8bobo
8bobo$217bo9bo6bo2bobobobo9b8o6b8o8bo2bobo16bobobo3bobo12bobo
46bob2o6b2o10bob2o2bo4bobo12bo2bo2bo2bo75bob2o6b2o10bobob2o3b
2obobo71bob2o8b2o7b4o6b4o61bo13bo8bob3o4b3obo$153bo3b2o3bo54b
2o7bo6b2ob2obobobo9bo9b2o9bo8b4obo2b3o10b2ob2o4bob2o7b3obobob
3o42b2obo7bo9b2o6b2o2bobo9b2ob2o6b2ob2o72b2obo7bo10bob2o8bob2o
70b2obo6b2o83bo13bo7b4o3bo2bo3b4o$152bobobo2bobobo54bo7b2o6bo
bo2bobobob2o3b2obob2o2bo2bo2bo2bo2b2obob2o2b2obo4bo4bo11bo6b2o
10bo3bobo3bo40b2o10bo12bo2bo4bobobob2o6bobo3bo2bo3bobo76b2o4b
o10b2obo9bo77b2o5bo9b4o6b4o60b2o12b2o5bo4b2o2b2o2b2o4bo$112b2o
28bo9bobob4obobo53bo6b2o8bo3bo2bobobo4b2obob2o2bo2bo2bo2bo2b2o
bob2o2b2ob5ob2o2bob2o8bo6b2o7b2obob2o3b2obob2o38bo10b2o11b6o2b
obobob2o8b4o4b4o79bo4b2o12bobobo3bobo78bo4bo10bo2bo6bo2bo62bo
b2o6b2o8b4o3bo2bo3b4o215b2o2bobo2bobo2b2o$3bob2o81b2o22b2o2b2o
24b3o5b2o2bo6bo2b2o51b2o6bo5b2obo3bobo2bobo7bo9b2o9bo8bo9bob2o
7b2ob2o4bob2o4b2obo2bo3bo2bob2o37bo9b2o19bo2bo2bo10bo12bo77bo
3b2o14b5o2bobo78bo5b2o6b2obob2o6b2obob2o59b2obo7bo11b2o8b2o218b
2o2b3o2b3o2b2o$3b2obo11b2o15b2o11bo39b2o10bo15b2o26bo4bo4bo6b
o4bo51bo5bo6b2obo2bob4obo8b8o6b8o8b10o12bobobo3bobo8bob2o3b2o
bo40b2o9bo15b2o2bo4b2o10b14o77b2o3bo22bo79b2o2b2o9bobob2o6b2o
bobo64b2o4bo11bo3bo4bo3bo$7b2o9b2o15b2o11b3o15bo2bo2bo7b2obob
o13bobo10b4o8b2ob2o8b2ob4o6b4o8b4o51bo6b2o8bobo6bo17bo4bo18bo
16b3o2bobobobob2o7bobobobobobo42bob2o4bo16bobob2o4bob2o94bob2o
4bo15b8o81bo3bo9bo2b2o8b2o2bo65bo4b2o7bobob3o6b3obobo190bob2o
4bob2o10b20o$8bo42bo14b4o2b3o5bob2ob7o6bobobo8bo4b2o7bobobob2o
5bobo76b2o3b2o10b9o10b6o2bob2obo2b6o13b3o11bo2b2obob2obo9b2ob
3ob3ob2o41b2obo4b2o16b2obo2bo2bob2o9b2o2b2o2b2o75b2obo4b2o14b
o87bo3bo11bobo3bo2bo3bobo65bo3b2o9b2obo2bobo2bobo2bob2o190b2o
bo4b2obo10bo18bo$7bo10b4ob2o8b4o11b4o23bo6bobo2bo4bo5bo3bo8b2o
2bo2bo6bobobob2o2bo2bo3b2o6b2o5b2o5b2o52bo4bo29bo2bo2bobo4bob
o2bo2bo13bobo13bobobobob2o92bo2bo2bo12b2o2b2o2b2o102b3o82b2o2b
2o11bob4o2b4obo66b2o3bo12bo2bob4obo2bo191b2o4b2o6b2o9b18o$7b2o
6bo2bo2bobo8bo4bo10bo2bob2o9b9o2bo6bob2o4b3o2b2obo3bob2o8bo3b
o3b2obobobo5b4o3bo6bobo4bo2bo4bobo50bo4bo13b2ob2o18bobo4bobo36b
o3bo18b3o75b2o2bobo124bobo101bo8bo64bob2o4bo13b3ob2o2b2ob3o192b
o5bo7bo6b3o18b3o$5b2o7bobobo4b2o4bo2b5obob2o3b2ob2obobo9bo9bo
b2o2b2obo3bo9bobo3bobo6b2o2b2ob2o3bobobo2b3o5bobobo6bobo4bo2b
o4bobo50b2o3b2o12b2ob2o17b2obob2obob2o58bobo77b3ob2o227bob6ob
o64b2obo4b2o15bo6bo194bo5bo7bo6bo3b7o4b7o3bo$6bo8bo2bo3bo5bob
obo2b2obob2o3bobo5bo9b2ob2o4b2o6bobobob7o2b2obobobob2o5bo4bo5b
2obo3bo2bo2b3o2bob2obo4b2o5b2o5b2o93bobob2obobo139bo233bo6bo89b
2o6b2o193b2o4b2o6b2o5b2o2bo16bo2b2o$5bo12bo3bo6bo2b3obobo8bob
o2b2ob2o3b2obo9bo6bobobo7bo5bobobo9b5o8bo3bobo3bobob2obob2o113b
obo4bobo374b6o295bob2o6b2o9bobo5b2o2b2o5bobo$5b2o12b3o10bobob
obo8b2o6bo5bo2b9o8b2ob6o8bobobo22bobobob2o4bo12b4o8b4o92b2ob6o
b2o375b2o297b2obo7bo9bobo5b2o2b2o5bobo$3b2o28b5o10bob4obo5bo27b
o9bobo12bo9b2ob2o7b2o11bo4bo6bo4bo781b2o4bo8b2o2bo16bo2b2o$4b
o14b3o25b2obo2bob2o5b3o2b4o15b3o11bo12bobo34b2o2bo6bo2b2o72b2o
23b2o684bo4b2o7bo3b7o4b7o3bo$3bo15bobo13bo28bo2bo2bo15bo27bo37b
obob4obobo74b2o23b2o683bo3b2o10b3o18b3o$3b2o29bobo115bobobo2b
obobo71bo6bo705b2o3bo13b18o$35bo117bo3b2o3bo72b8o701bob2o4bo13b
o18bo$944b2obo4b2o12b20o$91bo143b2o3b3o$90bobobo16b2o119bo2bo
bo4bo725b2o2b3o2b3o2b2o$24bo44bobob2obo12bob2ob3o9bobo2b2o118b
obobobo2bobob2o722b2o2bobo2bobo2b2o$17bo5bobo6b2o2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2b2ob3ob3o10bobo5bo7bob2o6bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo89bo2bobob2obob2o$16bobo4bobo7b36obo8bo7b2o2bo
b2o2bo7bobob36o90b3o4bo$16bobo2b3ob2o4bo36bobob2ob5o6bo4b3obo
b2o5b2o10bo7bo5bo7bo6bo92b5o$15b2ob2o5bo5b5o2b5o2b5o2b5o2b5o2b
2o5bob2o2bob2o2bob4obob2o9b2o3bo2b4o3b4o3b4o3b4o3b4obo90bo$16b
o6b2obo10b2o5b2o5b2o5b2o5b2o6bo3b3o2bo3b2o2b2ob2o2b2o5bo2bo9b
o5bo7bo5bo7bo91b2o2b2o$15bob2o6bo5b5o2b5o2b5o2b5o2b5o2b2ob3o3b
obob2o8b2obob4obo5b2o2bob34o96b2o$16bo5b2ob2o4bo41b6o7b2obob3o
4bo7b2ob2o4bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$15b2ob3o2bobo7b40o5b
o8bo2b2obo2b2o8bobobobo$16bobo4bobo6b2o2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bobob3o11bo5bobo15b2o$16bobo5bo50bo12b3ob2obo$17bo
72bobobo$93bo26$33bo33b2o545b2o3b2o4b2obo115b2o2b2o$32bobo32b
o87bobo114bo341b2o3b2o4bob2o13b2ob2o96bobo2bobo$32bobo29bo4bo
10bobo12bob2o28bobo11b2o12b3o113bobo256b2o91b2o4b2o11b2ob2o96b
2o4b2o$2bob2o24b2obob2o27b6o10b3o10b3obo29b3o11b2o79b2obo45bo
bo224b2obo6b2obo18b2o82b2o3b2o2bo5bo109bob2o2b4o2b2obo$2b2obo
23bobobobobo12b2ob2o6bo10bo12bo3b2obo3bobo9b2ob2o11bo28b7o56b
2o4bob2o10b2o14b2o2b2o11b2obob2o97b2obo6b2obo33bo5bo71bob2o6b
ob2o22bo9b2o3bo64bobobobo3bo5bo9b9o69bob2o6bob2o7b2obobo4bobo
b2o$2o4b2o7b2ob2o8bo2bo3bo2bo10bobobo7b12o5b8o4bobo2bo2bo10bo
bobo10b8o7b6o7bo7bo56bo2b2o4b2o8b2o14bo3bobo9bobo3bobo96bob2o
6bob2o28bobo2b3ob3o2bobo70b2o2b2o4b2o14b7o10bo2bobo2bobo60bob
o4b2o4b2o6bobo4bo4bobo66b2obo6b2obo10bob2o2b2obo$bo5bo8bobobo
7b3o5b3o10bo3bo24bo11bobo3bobob2o3bo3bo3bo17bo6bo6bo6bobob3ob
o55bo3bo5bo23b2ob3o2bo9bobo3bobo100b2o2b2o4b2o19b2o5b5o2bobo2b
5o70bo3bo5bo14bo16bo3bobo2b3o59b2obo6b2obo8b5o5b5o64b2o8b2o4b
2o8bobob2obobo$o5bo9bo3b3o3b2o11b2o5b2obo3bob2o4b2o8b2o7bo3b2o
3b2obo4b2ob2o3b3obo3bob2o7b3o3bo3bo2bobo3b2obo2b2obo3bobobob2o
52b2o3bo5bo8b4o11bobobob3obo3b2obobo3bobob2o97bo3bo5bo11b2obo
2bobobo8bobo5bobo74bo3bo5bo13b8o8bob3obob2o66b2o4bob2o11bobo3b
obo68bo9bo5bo7b2obo4bob2o$2o4b2o5b2obo5bo2bo2b2o7b2o2bo5bobo3b
obo5bo3bo2bo3bo3b4o5bo4bobo14bobo2b2o2bo7bo6b4o2bobo3b2obo3bo
bo3b3obobo54bo2b2o4b2o4b2obo4bobo7b2obo3bo2b2o3b2obo2bobo2bob
2o98bo3bo5bo9bo2b5obo7b2obobo5bobob2o70b2o2b2o4b2o11b2o5bobo8b
obobo3bob3o64bo2b2o4b2o6b2o11b2o64bo9bo5bo7bobobo4bobobo$2bob
2o7b2obobob2o4b2o11b2o6bobo3bobo6b3o4b3o4bo3b5o5bob7ob2o7bo4b
ob2o3b2obob5o7bo6bo3b2obobo5bob2o52bo5b2obo7bobo2b3ob3o6bobo3b
obo8bo7bo100b2o2b2o4b2o8bob2o5b3o6bob2obo5bob2obo66b2obo6b2ob
o12bobo2b3o2bob2o2b2obobobo2bo2bobo63bo3bo5bo7bo2bo3bo3bo2bo64b
2o8b2o4b2o6bobob6obobo$2b2obo10bobobo7b3o5b3o5b2obobo3bobob2o
20bo11bo6bob2o6bob2o2bo6b2obo6b2o6b6o7bob2o2bobo55b2o4bob2o6b
o2bobo5bo6b2obo3bobo8bo7bo96b2obo6b2obo10bo3b5o3bo10b2o3b2o71b
ob2o6bob2o12bobobo4b2obo4bobobob2o4bo65b2o3bo5bo7b13o67bob2o6b
ob2o9b4ob2ob4o$2o4b2o8bobobo7bo2bo3bo2bo5bo2bobo3bobo2bo3b2ob
o2bob2o8b3o10bo2bo11bo5bo9bob4obo20bo7bo56bo2b2o4b2o4b5o3b2ob
obo7bobo3bob2o2b2obo2bobo2bob2o93bob2o6bob2o11b3o2bo3bobo5bob
3o7b3obo70b2o2b2o4b2o7b2obobobo2bo2bobo4bobobob2o4bo66bo2b2o4b
2o87b2obo6b2obo11b2o4b2o$bo5bo7b2ob2o9bobobobobo8b2obo3bob2o6b
ob4ob2o10bo9b2o2b2o11b5o10bo2bobob2o8b2o10b7o56bo3bo5bo14bo2b
2o7b2obo2bob2o2b2obobo3bobob2o91b2o8b2o4b2o17b2ob2o4b3o3bo3bo
3b3o70bo3bo5bo8b2obobobobobobob2o2b2obobobo2bo2bobo63bo5b2obo
11b2o2b2ob2o73b2o2b2o4b2o9b2o4b2o$o5bo23b2obob2o12bo3bo9bo47b
o13b2o14b2o73b2o3bo5bo4b10o8b2obo5bo8bobo3bobo94bo9bo5bo10b2o
3bo5bo8b3o5b3o74bo3bo5bo10bob2o3b2obo8bobobo3bob3o63b2o4bob2o
11b2o2b2ob2o74bo3bo5bo7b4ob2ob4o$2o4b2o24bobo14bobobo10b3o88b
3o59bo2b2o4b2o4bo17bob2obo3bo8bobo3bobo95bo9bo5bo7bo2b9obo7bo
2bobobobo2bo72b2o2b2o4b2o10bobo2bo4bo8bob3obob2o169bo3bo5bo7b
obob6obobo$2bob2o26bobo15b2ob2o11bo88bobo58bo5b2obo9b2ob2o12b
o2b4o10b2obob2o95b2o8b2o4b2o7b2o10bo9b2ob2ob2ob2o69b2obo6b2ob
o11b2ob8o10bo3bobo2b3o166b2o2b2o4b2o6bobobo4bobobo$2b2obo27bo
182b2o4bob2o9b2ob2o12bobo16bobo99b2obo6b2obo14b5o2b2o9bobo3bo
bo70bob2o6bob2o33bo2bobo2bobo162bob2o6bob2o9b2obo4bob2o$251b2o
b3o14bobo99bob2o6bob2o14bobobo12b2ob2ob2ob2o99b4o12b2o3bo168b
2obo6b2obo10bobob2obobo$80b2o15bobob2o153bo15bo255bo2bo210bob
2o2b2obo$80b2o15b3ob2o636b2obobo4bobob2o$13b2o7b2o26b2o13bobo
9bo6bo654bob2o2b4o2b2obo$13bo2bobo2bobo10bobo13b2o13b3o9b8o10b
5ob2o640b2o4b2o$14b3ob4o10b5o43b2o9b2obo4bobobo11b2o46b2o578b
obo2bobo$18bo3bo8bo16b6o9b7o7b8o6b2ob4obobobo8b2o2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2b2o7bo2bo579b2o2b2o$14b2ob6o8bob4o11b
o3bobob2o4bo3b2o2bo6bo6bo16bobob2o6bobob36o8b2o4bo2bo2bo2bo2b
o2bo2bo2bo2bo$14bo14bobob2obo8b2obob3obob2o3bob2o4bobo2b2obo6b
ob2o3b2ob3o6bobo6b2ob2obo33bobo3b2obob31o$15b8o6b2obobobob2o5b
obo3b2obo6bob2o4bobo2b2obo6bob2o4bobo6b3ob2o4bo7bo2b6o2b6o2b6o
2b6ob2o4bob3o3bo7bo7bo7bo2bo$22bo9bo3bob2o7b4ob3o7bo3b2o2bo6b
o6bo6b2obobo13bob3o2b4o6b2o6b2o6b2o6b2o5bob3ob4o3b5o3b5o3b5ob
obo$17b5o10bobobo10bo3bo11b7o7b8o9bobobob4ob2o4bo2b3ob2o2b6o2b
6o2b6o2b6ob2o4bo2bo5bo7bo7bo9bo$17bobo9b2obobobo11b7o25b2o12b
obobo4bob2o5b3obo35bobo5b34o$29bob2ob2o18bo10b3o9b8o10b2ob5o11b
obob35o14bo2bo2bo2bo2bo2bo2bo2bo2bo$50b2o13bobo9bo6bo32bobo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2b2o8b3o$50b2o28b2o13b2ob3o61bobo
$80b2o13b2obobo42$303b2o4b2o$303bo6bo$241bo58b2obo6bob2o$157b
o82bobo56bobob2o4b2obobo104b2o$156bobo82bo25b2o30b3o3bo2bo3b3o
60b2obo6b2obo10b2o4b2o12b4o$156bobo85bobo15bo4bo2bo26b2o3bob6o
bo3b2o58bob2o6bob2o9bobo4bobo15bo215bobo$154b2obob2o56b2o4b2o
bo9b2ob8o14bobob2ob3o25bobo2bo10bo2bobo61b2o2b2o4b2o4bo2bob2o
2b2obo2bo6b6obo75b2obo6b2obo14b2o10b2o84b2obo7b5o4b2o$4bob2o80b
2o31b2o30bobobobobo56bo4bob2o10bobob2o17bo2bobobo28b3obob3o4b
3obob3o13bo2b2o43bo3bo5bo5b3obo6bob3o4b3obobobobo74bob2o6bob2o
14b2o2bob2obo2b2o72b2o4b2o4bob2o7bo4b2obobo$4b2obo11bo26b2o29b
2o9bo32b2o13b2o15bob2ob2obo55bo3b2o4b2o7bo2b2o4b4o12b3o3b6o9b
o2bo13bobo10bobo16b4obo43bo3bo5bo6bo2bo4bo2bo6bo3bo3bobo78b2o
2b2o4b2o16b6o77bo5bo2b2o4b2o3b3ob2obob2o$2b2o4b2o8bobo26bo12b
obo14b2o11bob2o42b2o13b2o2bo3bo2b2o53b2o2bo5bo9b2o5bo4bo17bo4b
o9b6ob2o3b4o3bo2bo4bo2bo3b4o8bo8bo41b2o2b2o4b2o11b2o12b2o2bob
o2bob2o75bo3bo5bo11b6o6b6o70bo5bo3bo5bo5bobobobobobo$3bo5bo9b
o10b2ob2o11bo3bo9b3o26b2obobo11bobo12b4ob2o22bo4b2ob2o4bo57bo
5bo9bo2bo3b2o2bo11b2o9bob2o11bobo4bo2bobobobo6bobobobo2bo8b7o
b2o37b2obo6b2obo12b4o12bo7bobo77bo3bo5bo9bobobobob4obobobobo69b
2o4b2o3bo5bo4bobob2ob2obo$2bo5bo20bobobobo6b2obob4o14bo9b6o8b
o2bobo11b3o2bo8bobobobo9b4o10b5o5b5o52b2o2b2o4b2o9b2ob2obo2bo
bob2o8bo10bobo7b5o2b2o7b2o14b2o16bobobo38bob2o6bob2o12b4o12bo
7bobo76b2o2b2o4b2o9bobo2b2obo2bob2o2bobo71bob2o4b2o4b2o3b2obo
2bobo2b3o$2b2o4b2o7b5o7bo5bo6b2obobo10b8o8bo2bo2bo6b2ob5ob2o11b
3o8bo2bo2bo8bo4bo7b2o2bobo5bobo2b2o51bo4b2obo10b2o3b3o2bobobo
7b2ob3o7bobobo5bo6bo9bo14bo13b3o5bo36b2o14b2o11b2o12b2o2bobo2b
ob2o71b2obo6b2obo8b2obo6bo4bo6bob2o68b2obo6b2obo7bobobobobo3b
o$4bob2o5b2obobobobo5b2o5b2o8bo2b3o6bo13bo2b2o3b2ob2o2bo3bob3o
bo7b6o7b2ob2o4bob2o5b6o6bo2b2o11b2o2bo49bo5bob2o11bobo4b2obo2b
2o6bobobo7b3ob2o2b2obob6o9bo14bo10bo2bobo5bob2o33bo15bo7bo2bo
4bo2bo6bo3bo3bobo74bob2o6bob2o9bob2o16b2obo73b2o4bob2o7bobobo
bobob2o287b2o$4b2obo5b2ob2ob2obo4bobobobobobo7b2o3bo6b2o3b6o2b
obobo6bobo3b2ob2o2bob2o6bo2bo2b4o4bobo5bobo3b2obob2obob2o4b2o
2bobo5bobo2b2o50b2o8b2o9bob3o2bo5bo9bobo10bo5bobo15b2o14b2o8b
obobobo3bobob2o34bo15bo4b3obo6bob3o4b3obobobobo78b2o8b2o7bob2o
16b2obo74bo8b2o4b2obobo3bobo288b2o$8b2o6b2ob2ob2o4bobobobobo5b
2obo4bob2o5b2o5bo4bo2b2o4b2o6bob2o2bo6b2ob2o8bo2b2obo4b2ob2o2b
2ob2o2b2ob2o6b5o5b5o62bo9b2obo2bob2o3b2o2bo5b2obo9b2o4b2obob6o
4bo2bobobobo6bobobobo2bo5bo2bobo3bobo36b2o14b2o4bo2bob2o2b2ob
o2bo6b6obo79bo9bo7b2obo6bo4bo6bob2o72bo9bo8bobo3bobo$9bo6bobo
bo9bo3bo7bobo4b2obo4b3ob4obo7bo2bo3bo6b2o2bobo6b2obo2bo3b3o6b
o2bo2bo8bo4bo9bo4b2ob2o4bo52b2o9bo14bo2b2o2b2obobo7bo4bo13bob
o2bobo4b4o3bo2bo4bo2bo3b4o8b3obobobo38b2obo6b2obo9bobo4bobo15b
o81bo9bo9bobo2b2obo2bob2o2bobo75b2o9bo7bobo3bob2o256bob2o6bob
2o12b2ob6o$8bo8b4o9bobobo9b4o5bo2bo2bobo2bob2o7b6o8bob2ob2o9b
7o8bobobobo8bob2obo10b2o2bo3bo2b2o54bo8b2o13b3o4bobo2bo8b6o3b
3o7bo2b2o12bobo10bobo16b2obob2o37bob2o6bob2o10b2o4b2o12b4o81b
2o8b2o9bobobobob4obobobobo76bo8b2o4b2obobobobo259b2obo6b2obo12b
2obobo3bo$8b2o21bobo10bo2b6o4b2o3b2o25bo29b2ob4o10bo2bo13bob2o
b2obo55bo5b2obo19bo2b3o16bobobo2bo5b2o13b3obob3o4b3obob3o12bo
4bo83b2o79b2obo6b2obo12b6o6b6o76bo5b2obo6b2obob3ob4o254b2o4b2o
2b2o4b2o11bobobo2b2o$4bob2o11b2o11bo14bo2bo26b2o9b2o17b3o27b2o
14bobobobobo55b2o4bob2o15b7o16b3ob2obobo21bobo2bo10bo2bobo12b
6o164bob2o6bob2o18b6o82b2o4bob2o9bo7b2o255bo5bo3bo5bo11bobob2o
$4b2obo11b2o56b2o28bobo14b2o28b2obob2o81bo2bo2bob2o13bo2bo4bo
23b2o3bob6obo3b2o15b2o194b2o2bob2obo2b2o97b3o261bo5bo3bo5bo9b
2obobobob3o$124b2o30bobo90bobo15b2o30b3o3bo2bo3b3o213b2o10b2o
99bo261b2o4b2o2b2o4b2o8b2obo5bobo$156bobo140bobob2o4b2obobo590b
ob2o6bob2o13bo7bob2o$157bo142b2obo6bob2o76bo17bo496b2obo6b2ob
o13b2o5b2obo$19bo283bo6bo77b3o3b2o7b2o3b3o16b2ob2o471b2o4b2o8b
2o8b2ob2o5b2obo$17b5o281b2o4b2o76bo6bobo5bobo6bo15b2ob2o472bo
5bo9bo8b2obo7bob2o$16bo5bo364bob4obobo5bobob4obo12bo478bo5bo9b
o12bo7bo$15bob2ob2obo44b2o315bobo2bobobob2o3b2obobobo2bobo10b
10ob2o466b2o4b2o8b2o11bobobobobo$15bo2bobo2bo43bo2bo17b2o19bo
bo272bobobobobobobo5bobobobobobobo18bobobo467bob2o6bob2o12b2o
b5ob2o$13b2obo5bob2o13b2o25bob2obo16b2o19b3o271bob2obob2ob2ob
2o3b2ob2ob2obob2obo8b4ob5ob3o467b2obo6b2obo$12bobobo5bobobo10b
3obo24bob2obo311bobo2bo7bo5bo7bo2bobo8bo5bo505bo$12b2o2bo5bo2b
2o9bo2bobo9b2ob2o7b2obo4bob2o13b4o17b3o270b2obob2o7b2o3b2o7b2o
bob2o4b2obob3obo3b2o499bobo$10b2o4b3ob3o4b2o6bobobobob2o5bobo
bobo7bobo4bobo13bo4bo15bobobo269b2obob2o7b2o3b2o7b2obob2o4bo2b
obo8bo500bo$9bo2b4o2bobo2b4o2bo5bobobobob2o5bo5bo7bobo4bobo13b
o4bo15bo3bo270bobo2bo7bo5bo7bo2bobo7b2ob9o$8bobo4bo2bobo2bo4b
obo3b2obo3bo7b2o5b2o3b2obobo4bobob2o8b2o6b2o11b2o5b2o268bob2o
bob2ob2ob2o3b2ob2ob2obob2obo$8bob2o3b4ob4o3b2obo6bo3bo7b2obob
ob2o3bo2bobo4bobo2bo7bo10bob2o3b2obo9bob2o265bobobobobobobo5b
obobobobobobo13b2ob2o$7b2o21b2o5bo3bob2o6bobobo7b2ob6ob2o9bo10b
ob2o4bob2o7b2obo267bobo2bobobob2o3b2obobobo2bobo14b2ob2o$8bob
2o3b4ob4o3b2obo3b2obo3bobo7bobobo25b2obo10bo6b2obo9bob2o268bo
b4obobo5bobob4obo$8bobo4bo2bobo2bo4bobo4bobobobobo8bobo13b2o11b
2obo10bo10b2o5b2o272bo6bobo5bobo6bo$9bo2b4o2bobo2b4o2bo5bobob
obob2o8bo14b2o15b2o6b2o13bo3bo275b3o3b2o7b2o3b3o$10b2o4b3ob3o
4b2o7bo2bobo45bo4bo15bobobo277bo17bo$12b2o2bo5bo2b2o10b3obo45b
o4bo16b3o$12bobobo5bobobo12b2o47b4o$13b2obo5bob2o83b3o$15bo2b
obo2bo66b2o17bobo$15bob2ob2obo66b2o$16bo5bo$17b5o$19bo21$512b
ob2o$500b2o4b2o4b2obo13b2o2b2o9b2o$397b2o15b2o2b2o81bo5bo2b2o
4b2o11bo4bo9bo2bobob2o65bob2o6bob2o$371bob2o6bob2o12bo14b4o2b
4o78bo5bo4bo5bo8b2ob5o9b2ob2ob2o2bo64b2obo6b2obo11b2o$218bob2o
6bob2o31bo107b2obo6b2obo14bo11bo10bo77b2o4b2o2bo5bo10bo6b3o7b
obobobobobo61b2o8b2o4b2o9b2o$218b2obo6b2obo30bobo110b2o2b2o4b
2o5b2ob4obo9bob10obo78bob2o4b2o4b2o8bob6o2bo3bo3bobo2bo2bobo62b
o9bo5bo13bo$222b2o2b2o4b2o10b2o17bo10bo2bobo2bo93bo3bo5bo4bob
obo3bobob2o4bobo10bobo77b2obo5bo5bo8bo7b2o4b3obobo5bob2o60bo9b
o5bo8b7o$223bo3bo5bo8b4o14bo13b4ob4o92bo3bo5bo4bo2bo3bo3bob2o
4bobo2bob2o4bobo81b2o2bo5bo6b2ob2o5b2o7bobob2o4bobo61b2o8b2o4b
2o3b2obo6b2o$222bo3bo5bo8bo4b2o10b8o6b2o2bobobo2b2o90b2o2b2o4b
2o3b2obobobo3bo6b2obobob2o5bob2o81bo2b2o4b2o6bo9bo9bobo4b2obo
63bob2o5bo5bo4bob7o$222b2o2b2o4b2o7b6obo9bo4bo2bo5bobobobobob
obo86bob2o5bo5bo6bo5bobo6b2obo2bo7bob2o80bo4bo5bo5b2ob9ob2o5b
o2b2o4bob2o62b2obo4bo5bo5bo3bo4b2o$218bob2o5bo5bo5b2o8bo5b2ob
5o2b2o7bob2ob2obo88b2obo4bo5bo7b3o2b2ob2o8bob2o5bobo83b2o2bo5b
o9bobo6bobo5b3o2bobobo69b2o2b2o4b2o5b3o4b2obo$218b2obo4bo5bo7b
2o2b6o5bobo4bo10bobo5bobo91b2o2b2o4b2o9b3obobo8bobo5b2obo84bo
2b2o4b2o8bo2b5obob2o7b3ob3o70bo3bo5bo4b2o7bo2bo$216b2o8b2o4b2o
5bo9b2o6bo2b3o2b2o6bobo5bobo92bo3bo5bo6b3o4bo7b2obo7bo2bob2o80b
o5bob2o11b2o4b2o10bo76bo3bo5bo4bo3b7ob2o$217bo9bo5bo6b9o8bo5b
o2bo4bobobo5bobobo89bo3bo5bo5bo2bob6o6b2obo5b2obobob2o80b2o4b
2obo13b2o14b2o5b3o67b2o2b2o4b2o4b3o7bo$216bo9bo5bo6b2o7bo9b8o
5b2obo7bob2o89b2o2b2o4b2o4b2o16bobo4b2obo2bobo104b2o21bobo63b
ob2o6bob2o8b7obo$2o4bob2o9b2o2bo14bo8b2o9b2o35b2o119b2o8b2o4b
2o9b3o28bob2ob2obo88bob2o6bob2o13b2o9bobo10bobo193b2obo6b2obo
10bo2bobo$o5b2obo6b2o2bo2b3o8bo2bobo6bo2bo7bo2bo34b2o121bob2o
6bob2o11bobo14b4o10bo2bobo2bo88b2obo6b2obo13b2o10bob10obo$bo2b
2o4b2o4bob2o5bo8b5obo6b2o2b2ob2o2b2o5bo2bo8b2obobo2bob2o129b2o
bo6b2obo28bo2bo11b2o3b2o129bo10bo$2o3bo5bo5b2ob5o14bobo6b3obo
bob3o6b4o2bobo3bob2ob4ob2o6b4obo311b4o2b4o$4bo5bo4bobo2bo13b2o
2b2obo5bo3bo3bo3bo9b5o5bobo13bo3b2o313b2o2b2o$2o2b2o4b2o3b2ob
3o2b2o9bob3obob2o3b2o9b2o5b2ob2o9bo4b2ob2o3b2ob2obo2b2o$o4bo5b
o5bo3bo2bo2bo3b2obo2bo2bo2bo21bob2o3b2o4b2o5bob2o3bobo4bobo$b
o2bo5bo6bob3o2bobobo2bo2bobo3bobo4b2o2bo3bo2b2o4b2obob2o2bo3b
o2bo4bo5b2obo4bob2o$2o2b2o4b2o2b2obobo2bobo2bo4bobobobobob2o3b
obo2bobo2bobo4b2ob6o4b3o3bobo8bo4bo$5bo5bo2b2obob4obo8bob4obo
5b2obob2ob2obob2o19b4ob2o7bob2obo$2o2bo5bo7bo4bo10bo5bo6bobo2b
obo2bobo9b2o8bo15bo2bo$o3b2o4b2o8b3o12b3obo6b2ob4ob4ob2o8b2o8b
obo14b2o$bo4bob2o9b2o16bob2o39b2o$2o4b2obo41b5o$51bobobo!

[Sokwe]

Period-52 oscillator:

Code: Select all

x = 34, y = 34, rule = B3/S234
16b2o$16b2o$13bo6bo$11b12o$10bo12bo$10bob3o4b3obo$7b2obobobo4bobobob2o
$6bobobo12bobobo$6b3ob4o6b4ob3o$10bo12bo$4b6ob3obo2bob3ob6o$3bo4bobo2b
ob4obo2bobo4bo$3bob2obobo2bo6bo2bobob2obo$2b2obo2bob3ob6ob3obo2bob2o$
3bob2o6bobo2bobo6b2obo$3bo6b2ob2o4b2ob2o6bo$2obo7bobo6bobo7bob2o$2obo
7bobo6bobo7bob2o$3bo6b2ob2o4b2ob2o6bo$3bob2o6bobo2bobo6b2obo$2b2obo2bo
b3ob6ob3obo2bob2o$3bob2obobo2bo6bo2bobob2obo$3bo4bobo2bob4obo2bobo4bo$
4b6ob3obo2bob3ob6o$10bo12bo$6b3ob4o6b4ob3o$6bobobo12bobobo$7b2obobobo
4bobobob2o$10bob3o4b3obo$10bo12bo$11b12o$13bo6bo$16b2o$16b2o!

lowest unknown periods: 55, 59, 60, 62, 63, 64, 65

[Extrementhusiast]

You put this oscillator into the p3 category when it really should be in the p4 category:

Code: Select all

x = 13, y = 14, rule = B3/S234
2$2bobo2bo$2b6o2$2b3ob2o$bo5bo$bo5bob2o$2b3ob2obo$9bo$2b7o$2bobobo!

[Lewis]

A P62:

Code: Select all

x = 56, y = 35, rule = 234/3
30b2obob2o3b2obob2o$30bob2obobobobob2obo$32bo2bobobobo2bo$31b
obobobobobobobo$31bobobobobobobobo$28b2obobobobobobobobob2o$29b
obobobobobobobobobo$26bo2bobobo3bobo3bobobo2bo$26b3o2bobo3bob
o3bobo2b3o$21b2o8bobobobobobobobo8b2o$21bo2b7obob4ob4obob7o2b
o$2bob2o6b2obo6b2o7bo2bo2bobo2bo2bo7b2o$2b2obo6bob2o5b2ob7o3b
2obobob2o3b7ob2o$2o14b2o13b3obobobobob3o$bo14bo4b7o2b2ob2ob2o
b2ob2ob2o2b7o$o16bo3bo9bo3bo5bo3bo9bo$2o14b2o4b14o5b14o$2bob2o
6b2obo$2b2obo6bob2o6b14o5b14o$2o4b2o2b2o9bo9bo3bo5bo3bo9bo$bo
5bo2bo10b7o2b2ob2ob2ob2ob2ob2o2b7o$o5bo4bo19b3obobobobob3o$2o
4b2o2b2o9b2ob7o3b2obobob2o3b7ob2o$2bob2o6b2obo6b2o7bo2bo2bobo
2bo2bo7b2o$2b2obo6bob2o5bo2b7obob4ob4obob7o2bo$21b2o8bobobobo
bobobobo8b2o$26b3o2bobo3bobo3bobo2b3o$26bo2bobobo3bobo3bobobo
2bo$29bobobobobobobobobobo$28b2obobobobobobobobob2o$31bobobob
obobobobo$31bobobobobobobobo$32bo2bobobobo2bo$30bob2obobobobo
b2obo$30b2obob2o3b2obob2o!

[Extrementhusiast]

A random soup in B38/S234 which produces a p11 oscillator (not mentioned) above the 2/3 mark to the left. Also note the p40 oscillator near the big blank patches northwest of the center. Both oscillators also work in B3/S234.

Code: Select all

x = 100, y = 100, rule = B38/S234
b3o2bob2ob2o2bo3b4o3bobob4o3b2obobo2b2o6bobo2bo7b3obob2obo4bob3obob6o$
3bobob4o3bo5bobob3o2b3ob5o5b5o3bobo4bob2obobo3bo4b2o2bob3obo3bo7b3o$ob
o2b2o2b2o2b2o2b2o2b3obob3obob4obo2bo3bobobo7bo4b3o2b2o2b3o3b3o3b2ob5o
2bo4bo$5b3obobob2o2bo3bobobobobob2o2b3o6b2o2b5obo2b5obo3bob2o3bo6b2o3b
o4b4obo$obob3ob4obob2o4bob2o2bo3bo4b2obobo3bo4b2o2bob4o2b2o2b2o2b3ob2o
3b2o2bo2b2ob3ob2o4bo$b2ob10o3b2o8bob2o2bo3bo2b2ob4o2b3ob2o2bo2b3o2bo3b
2o2bobobo2bob2o3b2obob2obobo$3b3o4bob3o2b5o3b3ob3ob2ob2obob2o3bo3b2o5b
o6b2o2bob3o2b2o2b3o2b3o3b2obo2bobo$2bo2bo2bob2ob3o2b2obo2b2o2b4obobo6b
o2b3ob4obob3o2bo3b2o3bo2b2ob6o3bo3bobobob2o$bo6b2o3bo3bo2b5ob2o3b4o3b
4o2b5o3b4ob4o2bob2o2b2o3bob4obob5ob4ob2ob2o$bo3bo3bo3b2ob3o2bobo2bo6b
5o3b8o2b3o3b2o3b2ob5ob3obo4bo4b4ob2obo4bo$3o4b9o3bo2b3o2b2o3b4ob4ob2o
2b6ob2ob3ob3ob4o2b5ob5ob2o7b3ob5o$4o3bo2b5ob3o2bo3b4obo2b2obob2o2bo3b
3o2b4obobo2b2ob5o2b4obob2ob2ob2o4bo2bob2ob2o$2o2bo2b2obobob3o2b3o3bob
4o2bobobo2bo8b3ob4o2bo5bobob2ob4o2b2ob2o4b2o9bo$2o4b5o2bob2obo3bo5b2ob
o4b7o2b4ob2obo2b3ob2o2bobo8bob7o2b2obob2o2b2obo$b4ob2o4b5o3b2obobob2o
2bobob5ob2o3bob5o3bo2b3ob4o2bo2bobo3b3obo3b2obob4o2bobo$bobobob4o2bobo
3b2o4b2ob3obo2bobo2b2ob3o4bobo2b3ob6obob3o4bo3bo2b3o6bob2obobo$bo3b2ob
o2b2o2b3ob2o3bo2b3o3bo2b2ob2o3bo2bo2b3o5b4o2b2o2bo2b2ob3o3b2o2bo3b4obo
bob3o$2b3o2bob2o3b2obob4obo2bo2bo2b14o3bob8ob3o3bo3b3obob2o5b4o2b2o2b
6o$4bo6bo2b4o3b4obo6b3o2bo5b4o3b3o4b2o2b10o2bo3bo4b2obobo5bobobo$bo2b
2o2bobobo2b2ob9ob3ob4o3bobobo2bo3bobo4bob3obo2b2obo2b2ob3obobo2b4o2b2o
$2bobobobob5o3b2o3bo3bo5bobo2bo4bo2b2o2bobo3bob4o3bob2obo2b6obo3b2ob2o
4bo2b2o$ob3ob2obo3bo6bobob2o2b2o3b4o2bobo2b2ob5ob3obobob4obob2o2bo6b7o
3b5o4b2o$3ob2ob3obo2bobo2b3o6b2ob2ob5o2b4o2bobo2bob3o2bob2ob2ob2o2b4o
2bo4bob2ob2obobo2bo$o2b3ob5o2bo2bo2b7o3b2obobo2b2obo7b2ob3o2bob2obo6b
3obo5b2obob2obobobo4b2o$3obob2o3bob5o2bo3bobo4b2ob3o3b4o2bo2bo2bo2b2o
3bob2o2bo3bo4bobob8obo4bo$b3obob2o5b3ob3o3bobo2b3obob2o3bo4bo2b4o2b3ob
o2bobob3obo2b5obobo2b4ob2ob2ob4obo$obobobob2obo2b4o3bo5bo3b13obo4bob2o
bo2bobob5o4b2o2b3o3b3ob7o4b4o$b3obo2bo4b2o4bob2o2bobob4obobob2o4bob2ob
4o3bo5bo4b2obo3b3obo2b4ob5ob4obobo$b2ob3obo3b5obob2ob2o2b3o3bob4obo2b
5o6bobob5ob2o2b3ob5o5bobo4bo3b2o2bo$ob7ob2o2bo2b4obo2b3ob5obob9o3bo5bo
3bo2b3o2bob2ob2o5b2o2b3ob2obobo2b4o$5b2o4bo7b2ob2o2b3obo3b2ob4o2bo2b6o
bo2b2obo7b4o2bob2o3b2obo3b3ob2ob2ob3o$4b2o2b3ob2ob2o3b2obob2o2bobobo3b
o2bo3b3o3bo2bo2bo3bob3ob2obob4o3bobobo2b2obobobob2o2b2o$5obo4b4ob8ob2o
2b3o2bobo5bobo3b3o3b2o5bob2obobo3bob2obo3bo4b2o5b3o$5o2b3ob3obobob2obo
bo2b3obo2b2obobob3o6b2ob2o2b2o3b2obo7bo5b2o2b2ob4o3b3ob2o$b2o2b3obob2o
b2ob3ob3o2bo2b2o2bobobob2obob3ob6ob2ob3obob2ob2o2b2o2bo3bo4bob3obo3b2o
bo$ob4o2bo3bo5bob4ob8obo2bobob2o2bo2b2o3bobo3b2ob2o4bob3o4bo3bo2b2ob4o
bobobo2bo$2b4obo2b2o3bobobobob2o2bob2ob3o5b3ob3o5bo2bob3obobob3ob2o3b
4o4bo3bo3b3o3b2obo$4o2b2o5b3ob2o2b2ob3obob4obob2obobob3o2bo2bob3obobo
2b2obobo2bo2bo2b2obo2bo2b2o2bo7bo$o4b7obobobo2b2ob5ob3obo5b3o2bo2bobob
o2b4o2b2obo3b6o3b2obobob2o3bo2bo3b2obo$3o3b2o2bo2bo4b3ob5ob5ob3obobob
2o2b2o2bo2bobobo2b4o4b3o2b3ob4ob3o2bob3o3bob3o$4bob2obo2bob3o2bobobobo
bobo5bo3bo2bo2b2obo2b2o2bobo4b3ob3o3b2o2bo3b2obo7b2obo2bobo$b2obo4bobo
5b4o2b3ob2obob4o6bobo3bo3bo3b2o3bo2bo6bobo5b2obob6obo2b2ob3o$bo2bobobo
4bob4obo3b2ob2obob2ob2obobobob2o2bo3bobobobo3b2obo3b2o4bo2bobobob4o8b
2o$b3obo2b3o2bob4o3bo2b3o3bobobo3bo4bo4b2o2b5ob2ob2o2bob3o3b2o3bob2obo
2bob4o2bobo$4obo2bo2b3o5b3obo2bobob2o3bob2o2b8obo3b2ob3o2bob2o4bob2ob
2o6bob15o$ob4ob3o2b6o2b2ob3obo2bo5b3o2b2o2b5o4b2ob2o3b2obobobob3o2bob
2obobob2obo8bobo$o3bobob2obobo2b2o2bo2bob3ob2obo3bob3obo6bo2b4o3bo2bo
4b2o2bobo4b2o3b2obo4b3o$2b2obobobobob2o2b5o2b7obobo2bo2bobobo4bobo4bo
4b3obob2o3bobo2b2o3b3ob2obobobobo3bo$obo2b3obo2bob2obobo5b5o3b3ob2ob2o
b3ob3o4b2obobob2o4bobo3bo6b3o2b2o4bo2b3o$3b2o5b4obo2b2o2bo6bo2b2obo6b
2ob6o5b3o3bobobo3b3ob6obo2bobob2o3b5o$o2b2o2bobob3o2bob2ob5o2bob2o3b5o
3b2obo2bo2b2ob7o5bo2bo7bob2ob2ob3o6b2o$4bo2bo2bob2o4bob3o5bo5bo3b10ob
5o8b2o3bo3bo2bo5bo5b8obob2o$2o2bo3bo2b2o7bobob2ob4o2b5obo2bobo3b2o5bo
2bob2o2b4obo4bo3b3o2bob2obo3b2ob5o$2b8obobo2b2obo3b2o2b2o3b3obo2bob2o
2b2obo8bo3b2ob3obobobob2o2bobo3bo3b3obob2o2bo$3bo2bo2b2ob2o2bob6o3b2ob
2o7bo3b2o6bobo4bo2b6ob2obob2obo3b2ob2obo4b2o2b2ob2o$2obo3b2o3b3obob2o
3bo2bobobobob4o2b4o2bob5ob2o4b2o2b5obobo4bo2b3ob2ob3obo3bob3o$4b3o2bo
5b4ob6obob3obobo2bob6o4bob4obob2ob4o4b4o2b2o3bob2obo2b2o2bo3b3o$3obob
3ob2o2bo3b2ob3ob3o6bob2o3b2o6bo3bob2o4b4obo2b3o3b2ob2obobob3ob2o3b5o$o
b2o2bobo2bobo2bo2b2o5bo2b3ob2obo3bob2obob3obo3bo3bo2b3obo2b2o2bob3o2bo
4b2ob2o2bob2o$bob3ob2o2b2o2bobo5bo2bo2bo2bo4b2o4b2ob5obobo3b3o2b2o4b2o
5bo4b2obob4o3bobo$2bo2bo2b9ob4ob2obo2b2o3bob3ob2obo2bob4ob2o6b3obob2ob
o2b2ob2obob2ob3obo2b4o$b6o2bobobobob4obo5b3ob2ob4o4b3o4bo2b3obob2o4bob
o3bo4bobo4bob8ob2obobo$2o4b3o2bo2bo3b2ob2o4b2ob3o4bobob2ob3o4b3o2b2o2b
o7bobo5b5obo3b2obob2o2b2o2bo$2bo2bo2b2obob2ob4o2bo2bo6bo2b3obo2b2o2b7o
b2o2bob2o3b4o2b5obob2o2bo2bo2bobob2o3bo$2bo3b4o2b2obo6b2ob2obobo3b2o4b
o6bo2b2o2bobo3bob9ob10ob2ob2ob3o6bo$o3bobo4bo2b3o4b3obo2b2obob2o2bobo
2b5ob2ob3o3bobo2bob5ob2o3b4o4b10ob2ob2o$o4bob3o2b4o2b2ob3ob2o4b5ob3ob
5ob7ob3o2bobob3o6bobo3bob3ob4obobo2b2o$3o3bo4bo3b3o2b4o2bo2b5obo2bo4bo
b2ob4o3b3o7bo5bo2bo2bo2bo2b2ob4obo2b6o$b8obo2b2ob2ob5o2b4o2b4obo4b3ob
2o5b3o3b3o2bobobob2ob2o2bo2bob3o2bo2bob3ob3o$2bobo3bob4ob2o6bo6bo2b4ob
ob2o2bob5o3b2ob2o2b3o3b2o3b5o4bo2b2o3b2obobo$2bob3obobobobo3bob2obo2bo
2bo2b2o2bo2b2o3bobo2bob2o2bo3b3o3bob2ob3o3bo2bo3b3ob2obo2b2obobo$o2b3o
2b2o2b2o6b3o2bob2o2b2obob2o6b2o3b8o3bo2b4o2b3o3b3obobobo3bo2b5o2b3o$3o
4bobobob3o3b2o2bobobo4b3ob6o4b2ob2o3bo4b3obo2b2obo2b2o2bo5bobo4b2ob3o
3b2o$o3b2ob2ob2obo3b2o2b2obo3bo2bo3bobo2bo2b4obo2bo3b3o5bobo2bobob2o6b
2o3bo2bobobobobob2o$bo4b4o4b3obo2bob2o3bo5b2o2b5o3b2obo4b3ob2o3b4obo2b
3o3b3o4bobob3ob2o$o3b2o2bobob3o2b5o2b3o2bobo2bo2bo3b2o2bob2o2b4obobo3b
2o2bobo2b2o2b2ob2ob2o9b3obob2o$b2ob2o3bo4b3obo4b2o2b2o3bobob2ob7o2bob
5obobobob3obob6ob2o2b2obobob2o3b2obo3bo$o4b2obo2b4o5b2obo3bob2o6b2o4b
2o2bob3obo3bob2ob2ob5o3bo5b4obobob2o6b4o$o5b3o2b2o3b2obobo2bob4ob2obob
2ob2o2b3obobobob3ob2ob2o2bo2bobo2b4o6b2o7bo2b5o$3b2o3b2ob2o2bo4b4o9bob
2obobobobo3bob2o4bobo3b2o2b2o2b2o2bo3bo3b2o4bob2ob4o2bo$3o3bob2o2b2o4b
2obobob2o8b4o2bob2o3bobobob2obob2o2b2ob2o2bo5b3o4b2o2bo6b3obo$2ob3o3b
2obo2b3o3b4ob4ob2o3b3o5b2obobob2o3bo5b2obob3o3bo2bo9bobo2bo2b3ob2o$o2b
3o2bo2b4o2b3ob3o3bo2b3ob3ob2o2bo4b2ob4obo2b4o3bobo2bobo3bo2bobob2o2bo
2b2ob2obo$4bob2o5bob2o3b2ob8o2bobob2obo2bo2b2ob2obob3ob3obo6b2o3b4o3b
3ob2o2b4obobo$2b6o4b2ob2ob4o2bobo2bo2bo3b3obob2o4b4obo3bobob6o2b4ob3o
8bo5bobo4bo$ob2ob2ob2obobob2obobob2ob2obo3b2obobobobobob4o8bo2b3ob2o2b
2ob2o7bo4b3ob3o2b4o$obob2ob2ob6ob2obobo2bobo2b2o9bobo3b2ob3obo2b3o3bob
2o2b3o2b3o2bob2ob3obobobobo2b3o$4b4ob4obob2obobobo5b2o5b3o2bo3bobo4bob
ob3obo8bob6ob3obobo4bo3b4obo$o2b4ob2obobo3b3obobo4b4obobob4obo3b7ob5ob
o2bo7bo2b2o2bo12bob2o$3bo3bo2bobo5bobo2b3ob3o3bobo2bo3bo6bobobo3bobo5b
obob4ob2o4bobob4obo2b2o2bob2o$b3o3bo3bo2bo2b3obo2bob2o2b2o5b2ob2ob3o6b
o3b6o3b2o5bo2bob2ob2obo2b2obob2obo2b3o$o3bobo2b2o2b3o2bo3b2o4b3ob2obo
2bo2b4ob2o2b3ob3o3bobo3bob3obo2bobo2b3o2b2ob9obo$b2o6b3o2bo2bobobobo2b
o2bo3b2o2bob2obob2obo3bobob2ob7o3bob2obo4b2obobob2o4bo2bo$bobo2b9ob2ob
4o2bo4b2ob6o3b8o2bob2o7b2obob2o2bo2bob5o2b2ob2o3bob2ob3o$3o5bobo2bo6b
2obo4bob4o2b2obobo2b2o2bo2bob4o3bobobob2o2b2o4bobo5b3o2bobo3bo$2bobobo
b2o3b2o3bob5ob2o5bobobo5b2o3b2o2b3o2bobobo2b3ob2obo3b3ob2ob3ob2o4b3obo
b2o$b4o2bobo3bo2b5obob2o3b3o2bo3b9o2bobobo2b2obobo2b2obo2b3ob2obo3b2o
3bobo2bo2bob2obo$b3o2b3o2bo2bo2b3o2b2o2bo2b3ob3obo5bo2b6o4b3ob4o3bo3bo
4b2o5b3o2bobo5b2o$b2o3bobo2bo4bob3ob5o4bob2obo3b2o2b5obo6b2obo2b9o2bob
2o2b2o6b7obo$b2obo2b8ob2o3b2obobo3b3ob7o2b3o6b2o2bobo3b3o2b2o3b5o6bob
2o2bo2bo4b2o!

[Lewis]

I managed to stabilise the P11:

Code: Select all

x = 13, y = 16, rule = B3/S234
3bo$2bobo$3bo2$b5ob2o$bobobobobo$3bo3bobo$2b2o3bobob2o$bobo5bob2o$bob
3o2b2o$2ob3o2b2o$3bo2bobo$3bob2obobo$2b2o2bo2b2o$4bobo$4b2o!

EDIT: Here's a P28 which occurs in the South-east of the soup after about generation 2100.

Code: Select all

x = 15, y = 16, rule = B3/S234
7bo$6bobo$7bo2$2b2ob5ob2o$3bobobobobo$3bo7bo$2ob2o5b2ob2o$bobo7bobo$bo
bo7bobo$2obob2ob2obob2o$3bobo3bobo$3b3obob3o$6b3o$5bo3bo$5b2ob2o!

At 64 cells minimum population, it's the smallest p28 recorded so far.


EDIT 2: I found the p40 by changing the rule from b38/s234 back to 3/234 part-way through the pattern's evolution. Is this the right p40? (minimum population 58 cells) If so, it's already (in a larger form) in the big collection.

Code: Select all

x = 15, y = 14, rule = B3/S234
7b2o$7bobo$4b2obobo$4bobobob2o$b2obo2bo2bo$2bobo4b2o2bo$obobo5bobobo$
3obobo3bo2bo$4bobo3bo$2b2o2bobob2o$2bob3ob2o2bo$3bo7b2o$4bo$3b2o!

[Sokwe]

I finally bothered to get Dean Hickerson's drifter search running properly. It didn't take too much effort to find some signal turners for a simple signal (Edit: due to the length of the turners and the conduits, this doesn't prove the existence of periods that are multiples of 8. In order to prove the omiperiodicity of this rule, one would need to find a turner that takes some even number of generations to turn the signal, or a new conduit that is not a multiple of 4 (ideally the conduit length would be prime)):

Code: Select all

x = 100, y = 88, rule = B3/S234
52b2o$51bo2bo2b2o$50bob2obo2bo$50bo4b3o$43b2o3b2ob5o5bo$43bo2b3obo3bo
4b3o$42b2ob2o5b2o2bo2bo2b2o$45bo5b2ob3o3bo2b3o$45bo2b2o5bo3b3o3bo$44b
3o2b5obobo4b3o5bo$39b2o2bo2b2obo3bo2b2ob4o5b3o$39bo2bobobobob4o4bo2bo
4bo2bo$40b2ob2obobobo3b3o2b2o2bo2b2o2bo$41bobo2bobob4obo5b3o3b3obo$41b
o3bobo5bo2b4o2bo3bo3bobo$38b2ob2o3bo5b2o4bo3bobo2bo2bobo$37bobo2bo2b2o
bo10bo3b2ob2o3bo3b2o$29b2o6bo3bo3bo2b3o7b2o6bo3b2obo2bo$30bo3b2ob2o3b
3ob3o2bo14bobo4b3o5bo$29bo3bobo2bo2b2obobo3b2o15b2ob4o5b3o$23b2o2b4o2b
o3bo3bo2bo24bo2bo4bo2bo$23bo2bo5b3o3b3o2b2o20b3o2b2o2bo2b2o2bo$25b3o2b
2o2bo2b2o24bo2bo5b3o3b3obo$29bo2bo4bo2b5o18b2o2b4o2bo3bo3bobo$27b2ob4o
5b2obobo24bo3bobo2bo2bobo$26bobo4b3o34bo3b2ob2o3bo3b2o$18b2o6bo3b2obo
2bo32b2o6bo3b2obo2bo$19bo3b2obo4bo3b2o40bobo4b3o4bo$18bo3bobo2bo2bobo
45b2ob4o4b3o$12b2o2b4o2bo3bo3bobo47bo2bo4bo$12bo2bo5b3o3b3obo44b3o2b2o
2bo2b2o6bo$14b3o2b2o2bo2b2o2bo43bo2bo5b3o3b3o2b3o$18bo2bo4bo2bo44b2o2b
4o2bo3bo3bo2bo$16b2ob4o5b3o49bo3bobo2bo2b2obo$15bobo4b3o5bo50bo3b2ob2o
3bob3o$7b2o6bo3b2obo2bo54b2o6bo3bobo2bo$8bo3b2ob2o3bo3b2o62bobo2bobo$
7bo3bobo2bo2bobo65b2ob2obob2o$b2o2b4o2bo3bo3bobo69bobo2bo$bo2bo5b3o3b
3obo70bob4ob2o$3b3o2b2o2bo2b2o2bo69b2obo4bobo$7bo2bo4bo2bo71bo2bobobo$
5b2ob4o5b3o65b2o3bo3b2ob2o$4bobo4b3o5bo65bo2bob2o3bo$4bo3b2obo2bo65bo
5b3o4bobo$b2ob2o3bo3b2o65b3o5b4ob2o$2bobobo2bo71bo2bo4bo2bo$obo4bob2o
69bo2b2o2bo2b2o2b3o$2ob4obo70bob3o3b3o5bo2bo$3bo2bobo69bobo3bo3bo2b4o
2b2o$3b2obob2ob2o65bobo2bo2bobo3bo$4bobo2bobo62b2o3bo3b2ob2o3bo$2bo2bo
bo3bo6b2o54bo2bob2o3bo6b2o$2b3obo3b2ob2o3bo50bo5b3o4bobo$4bob2o2bo2bob
o3bo49b3o5b4ob2o$4bo2bo3bo3bo2b4o2b2o44bo2bo4bo2bo$3b3o2b3o3b3o5bo2bo
43bo2b2o2bo2b2o2b3o$3bo6b2o2bo2b2o2b3o44bob3o3b3o5bo2bo$11bo4bo2bo47bo
bo3bo3bo2b4o2b2o$8b3o4b4ob2o45bobo2bo2bobo3bo$8bo4b3o4bobo40b2o3bo3b2o
b2o3bo$12bo2bob2o3bo6b2o32bo2bob2o3bo6b2o$12b2o3bo3b2ob2o3bo34b3o4bobo
$16bobo2bo2bobo3bo24bobob2o5b4ob2o$16bobo3bo3bo2b4o2b2o18b5o2bo4bo2bo$
17bob3o3b3o5bo2bo24b2o2bo2b2o2b3o$18bo2b2o2bo2b2o2b3o20b2o2b3o3b3o5bo
2bo$19bo2bo4bo2bo24bo2bo3bo3bo2b4o2b2o$18b3o5b4ob2o15b2o3bobob2o2bo2bo
bo3bo$18bo5b3o4bobo14bo2b3ob3o3b2ob2o3bo$23bo2bob2o3bo6b2o7b3o2bo3bo3b
o6b2o$23b2o3bo3b2ob2o3bo10bob2o2bo2bobo$27bobo2bo2bobo3bo4b2o5bo3b2ob
2o$27bobo3bo3bo2b4o2bo5bobo3bo$28bob3o3b3o5bob4obobo2bobo$29bo2b2o2bo
2b2o2b3o3bobobob2ob2o$30bo2bo4bo2bo4b4obobobobo2bo$29b3o5b4ob2o2bo3bob
2o2bo2b2o$29bo5b3o4bobob5o2b3o$34bo3b3o3bo5b2o2bo$34b3o2bo3b3ob2o5bo$
36b2o2bo2bo2b2o5b2ob2o$38b3o4bo3bob3o2bo$38bo5b5ob2o3b2o$42b3o4bo$41bo
2bob2obo$41b2o2bo2bo$46b2o!

Obviously, I was too lazy to try to optimize the stator of the conduits. Due to the fact that the signal is asymmetric, I found two different signal turners, each of which flip the signal (alternatively, a single turner that rotates the signal 90 degrees would be sufficient).

The minimum compression is 7 generations:

Code: Select all

x = 100, y = 88, rule = B3/S234
52b2o$51bo2bo2b2o$50bob2obo2bo$50bo4b3o$43b2o3b2ob5o5bo$43bo2b3ob2o2bo
4b3o$42b2ob2o3bob2o2bo2bo2b2o$45bo5b2ob2o4bo2b3o$45bo2b2o5bo3b3o3bo$
44b3o2b5obobo4b3o5bo$39b2o2bo2b2obo3bo2b2ob4o5b3o$39bo2bobobobob4o4bo
2bo4bo2bo$40b2ob2o3bobo3b3o2b2o5b2o2bo$41bobo2bobob4obo5b3o3b3obo$41bo
3bobo5bo2b4o2bo3bo3bobo$38b2ob2o3bo5b2o4bo3bobo2bo2bobo$37bobo2bo2b2ob
o10bo3b2ob2o3bo3b2o$29b2o6bob3o3bo2b3o7b2o6bo2b3obo2bo$30bo3b2ob4ob3ob
3o2bo14bobobo2b3o5bo$29bo3bobo2bo2b2obobo3b2o15b2ob4o5b3o$23b2o2b4o2bo
3bo3bo2bo24bo2bo4bo2bo$23bo2bo5b3o3b3o2b2o20b3o2b2o2bo2b2o2bo$25b3o2b
2o5b2o24bo2bo5b5ob3obo$29bo2b2o3bo2b5o18b2o2b4o2bob3o3bobo$27b2ob4o5b
2obobo24bo3bobo2bo2bobo$26bobo4b3o34bo3b2ob2o3bo3b2o$18b2o6bo3b2obo2bo
32b2o6bo3b2obo2bo$19bo3b2ob2o3bo3b2o40bobo4b3o4bo$18bo3bobob2o2bobo45b
2obob2o4b3o$12b2o2b4o2bo3bo3bobo47bo2bo4bo$12bo2bo5b3o3b3obo44b3o2b2o
2bo2b2o6bo$14b3o2b2o2bo2b2o2bo43bo2bo5b3o3b3o2b3o$18bo2bo4bo2bo44b2o2b
4o2bo3bo3bo2bo$16b2obob2o5b3o49bo3bobob2o2b2obo$15bobo4b3o5bo50bo3b2ob
2o3bob3o$7b2o6bo3b2obo2bo54b2o6bo3bobo2bo$8bo3b2ob2o3bo3b2o62bobo2bobo
$7bo3bobo2bo2bobo65b2ob2obob2o$b2o2b4o2bob3o3bobo69bo2bobo$bo2bo5b5ob
3obo70bob4ob2o$3b3o2b2o2bo2b2o2bo69b2obo4bobo$7bo2bo4bo2bo71bo2bobobo$
5b2ob4o5b3o65b2o3bo3b2ob2o$4bobobo2b3o5bo65bo2bob3o2bo$4bo2b3obo2bo65b
o5b3o2bobobo$b2ob2o3bo3b2o65b3o5b4ob2o$2bobobo2bo71bo2bo4bo2bo$obo4bob
2o69bo2b2o2bo2b2o2b3o$2ob4obo70bob3ob5o5bo2bo$3bobo2bo69bobo3b3obo2b4o
2b2o$3b2obob2ob2o65bobo2bo2bobo3bo$4bobo2bobo62b2o3bo3b2ob2o3bo$2bo2bo
bo3bo6b2o54bo2bob2o3bo6b2o$2b3obo3b2ob2o3bo50bo5b3o4bobo$4bob2o2b2obob
o3bo49b3o5b2obob2o$4bo2bo3bo3bo2b4o2b2o44bo2bo4bo2bo$3b3o2b3o3b3o5bo2b
o43bo2b2o2bo2b2o2b3o$3bo6b2o2bo2b2o2b3o44bob3o3b3o5bo2bo$11bo4bo2bo47b
obo3bo3bo2b4o2b2o$8b3o4b2obob2o45bobo2b2obobo3bo$8bo4b3o4bobo40b2o3bo
3b2ob2o3bo$12bo2bob2o3bo6b2o32bo2bob2o3bo6b2o$12b2o3bo3b2ob2o3bo34b3o
4bobo$16bobo2bo2bobo3bo24bobob2o5b4ob2o$16bobo3b3obo2b4o2b2o18b5o2bo3b
2o2bo$17bob3ob5o5bo2bo24b2o5b2o2b3o$18bo2b2o2bo2b2o2b3o20b2o2b3o3b3o5b
o2bo$19bo2bo4bo2bo24bo2bo3bo3bo2b4o2b2o$18b3o5b4ob2o15b2o3bobob2o2bo2b
obo3bo$18bo5b3o2bobobo14bo2b3ob3ob4ob2o3bo$23bo2bob3o2bo6b2o7b3o2bo3b
3obo6b2o$23b2o3bo3b2ob2o3bo10bob2o2bo2bobo$27bobo2bo2bobo3bo4b2o5bo3b
2ob2o$27bobo3bo3bo2b4o2bo5bobo3bo$28bob3o3b3o5bob4obobo2bobo$29bo2b2o
5b2o2b3o3bobo3b2ob2o$30bo2bo4bo2bo4b4obobobobo2bo$29b3o5b4ob2o2bo3bob
2o2bo2b2o$29bo5b3o4bobob5o2b3o$34bo3b3o3bo5b2o2bo$34b3o2bo4b2ob2o5bo$
36b2o2bo2bo2b2obo3b2ob2o$38b3o4bo2b2ob3o2bo$38bo5b5ob2o3b2o$42b3o4bo$
41bo2bob2obo$41b2o2bo2bo$46b2o!

Here's a signal-based period-55 oscillator (previously the lowest unknown period):

Code: Select all

x = 155, y = 133, rule = B3/S234
85b2o$84bo2bo2b2o$83bob2obo2bo$83bo4b3o$76b2o3b2ob5o5bo$76bo2b3obo3bo
4b3o$75b2ob2o5b2o2bo2bo2b2o$78bo5b2ob3o3bo2b3o$78bo2b2o5bo3b3o3bo$77b
3o2b5obobo4b3o5bo$72b2o2bo2b2obo3bo2b2ob2o7b3o$72bo2bobobobob4o4bo3bo
3bo2bo$73b2ob2obobobo3b3o2b2o2bo2b2o2bo$74bobo2bobob4obo5b3o3b3obo$74b
o3bobo5bo2b4o2bo3bo3bobo$71b2ob2o3bo5b2o4bo3bobo2bo2bobo$70bobo2bo2b2o
bo10bo3b2ob2o3bo3b2o$62b2o6bo3bo3bo2b3o7b2o6bo3b2obo2bo$63bo3b2ob2o3b
3ob3o2bo14bobo4b3o5bo$62bo3bobo2bo2b2obobo3b2o15b2ob4o5b3o$56b2o2b4o2b
o3bo3bo2bo24bo2bo4bo2bo$56bo2bo5b3o3b3o2b2o20b3o2b2o2bo2b2o2bo$58b3o2b
2o2bo2b2o24bo2bo5b3o3b3obo$62bo2bo4bo2b5o18b2o2b4o2bo3bo3bobo$60b2ob4o
5b2obobo24bo3bobo2bo2bobo$59bobo4b3o34bo3b2ob2o3bo3b2o$51b2o6bo3b2obo
2bo32b2o6bo3b2obo2bo$52bo3b2ob2o3bo3b2o40bobo4b3o5bo$51bo3bobo2bo2bobo
45b2ob4o5b3o$45b2o2b4o2bo3bo3bobo47bo2bo4bo2bo$45bo2bo5b3o3b3obo44b3o
2b2o2bo2b2o2bo$47b3o2b2o2bo2b2o2bo43bo2bo5b3o3b3obo$51bo2bo4bo2bo44b2o
2b4o2bo3bo3bobo$49b2ob4o5b3o49bo3bobo2bo2bobo$48bobo4b3o5bo50bo3b2ob2o
3bo3b2o$40b2o6bo3b2obo2bo54b2o6bo3b2obo2bo$41bo3b2ob2o3bo3b2o62bobo4b
3o5bo$40bo3bobo2bo2bobo67b2ob4o5b3o$34b2o2b4o2bo3bo3bobo69bo2bo4bo2bo$
34bo2bo5b2o4b3obo66b3o2b2o2bo2b2o2bo$36b3o2b2o2bo2b2o2bo65bo2bo5b3o3b
3obo$40bo2bo4bo2bo66b2o2b4o2bo3bo3bobo$38b2ob4o5b3o71bo3bobo2bo2bobo$
37bobo4b3o5bo72bo3b2ob2o3bo3b2o$29b2o6bo3b2obo2bo76b2o6bo3b2obo2bo$30b
o3b2ob2o3bo3b2o84bobo4b3o4bo$29bo3bobo2bo2bobo89b2ob4o4b3o$23b2o2b4o2b
o3bo3bobo91bo2bo4bo$23bo2bo5b3o3b3obo88b3o2b2o2bo2b2o6bo$25b3o2b2o2bo
2b2o2bo87bo2bo5b3o3b3o2b3o$29bo2bo4bo2bo88b2o2b4o2bo3bo3bo2bo$27b2ob4o
5b3o93bo3bobo2bo2b2obo$26bobo4b3o5bo94bo3b2obo4bob3o$18b2o6bo3b2obo2bo
98b2o6bo3bobo2bo$19bo3b2ob2o3bo3b2o106bobo2bobo$18bo3bobo2bo2bobo109b
2ob2obob2o$12b2o2b4o2bo3bo3bobo113bobo2bo$12bo2bo5b3o3b3obo114bob4ob2o
$14b3o2b2o2bo2b2o2bo113b2obo4bobo$18bo2bo4bo2bo115bo2bobobo$16b2ob4o5b
3o109b2o3bo3b2ob2o$15bobo4b3o5bo109bo2bob2o3bo$7b2o6bo3b2obo2bo109bo5b
3o4bobo$8bo3b2ob2o3bo3b2o109b3o5b4ob2o$7bo3bobo2bo2bobo114bo2bo4bo2bo$
b2o2b4o2bo3bo3bobo113bo2b2o2bo2b2o2b3o$bo2bo5b3o3b3obo113bob3o3b3o5bo
2bo$3b3o2b2o2bo2b2o2bo113bobo3bo3bo2b4o2b2o$7bo2bo4bo2bo114bobo2bo2bob
o3bo$5b2ob4o5b3o109b2o3bo3b2ob2o3bo$4bobo4b3o5bo109bo2bob2o3bo6b2o$4bo
3b2obo2bo109bo5b3o4bobo$b2ob2o3bo3b2o109b3o5b4ob2o$2bobobo2bo115bo2bo
4bo2bo$obo4bob2o113bo2b2o2bo2b2o2b3o$2ob4obo114bob3o3b3o5bo2bo$3bo2bob
o113bobo3bo3bo2b4o2b2o$3b2obob2ob2o109bobo2bo2bobo3bo$4bobo2bobo106b2o
3bo3b2ob2o3bo$2bo2bobo3bo6b2o98bo2bob2o3bo6b2o$2b3obo4bob2o3bo94bo5b3o
4bobo$4bob2o2bo2bobo3bo93b3o5b4ob2o$4bo2bo3bo3bo2b4o2b2o88bo2bo4bo2bo$
3b3o2b3o3b3o5bo2bo87bo2b2o2bo2b2o2b3o$3bo6b2o2bo2b2o2b3o88bob3o3b3o5bo
2bo$11bo4bo2bo91bobo3bo3bo2b4o2b2o$8b3o4b4ob2o89bobo2bo2bobo3bo$8bo4b
3o4bobo84b2o3bo3b2ob2o3bo$12bo2bob2o3bo6b2o76bo2bob2o3bo6b2o$12b2o3bo
3b2ob2o3bo72bo5b3o4bobo$16bobo2bo2bobo3bo71b3o5b4ob2o$16bobo3bo3bo2b4o
2b2o66bo2bo4bo2bo$17bob3o3b3o5bo2bo65bo2b2o2bo2b2o2b3o$18bo2b2o2bo2b2o
2b3o66bob3o4b2o5bo2bo$19bo2bo4bo2bo69bobo3bo3bo2b4o2b2o$18b3o5b4ob2o
67bobo2bo2bobo3bo$18bo5b3o4bobo62b2o3bo3b2ob2o3bo$23bo2bob2o3bo6b2o54b
o2bob2o3bo6b2o$23b2o3bo3b2ob2o3bo50bo5b3o4bobo$27bobo2bo2bobo3bo49b3o
5b4ob2o$27bobo3bo3bo2b4o2b2o44bo2bo4bo2bo$28bob3o3b3o5bo2bo43bo2b2o2bo
2b2o2b3o$29bo2b2o2bo2b2o2b3o44bob3o3b3o5bo2bo$30bo2bo4bo2bo47bobo3bo3b
o2b4o2b2o$29b3o5b4ob2o45bobo2bo2bobo3bo$29bo5b3o4bobo40b2o3bo3b2ob2o3b
o$34bo2bob2o3bo6b2o32bo2bob2o3bo6b2o$34b2o3bo3b2ob2o3bo34b3o4bobo$38bo
bo2bo2bobo3bo24bobob2o5b4ob2o$38bobo3bo3bo2b4o2b2o18b5o2bo4bo2bo$39bob
3o3b3o5bo2bo24b2o2bo2b2o2b3o$40bo2b2o2bo2b2o2b3o20b2o2b3o3b3o5bo2bo$
41bo2bo4bo2bo24bo2bo3bo3bo2b4o2b2o$40b3o5b4ob2o15b2o3bobob2o2bo2bobo3b
o$40bo5b3o4bobo14bo2b3ob3o3b2ob2o3bo$45bo2bob2o3bo6b2o7b3o2bo3bo3bo6b
2o$45b2o3bo3b2ob2o3bo10bob2o2bo2bobo$49bobo2bo2bobo3bo4b2o5bo3b2ob2o$
49bobo3bo3bo2b4o2bo5bobo3bo$50bob3o3b3o5bob4obobo2bobo$51bo2b2o2bo2b2o
2b3o3bobobob2ob2o$52bo2bo3bo3bo4b4obobobobo2bo$51b3o7b2ob2o2bo3bob2o2b
o2b2o$51bo5b3o4bobob5o2b3o$56bo3b3o3bo5b2o2bo$56b3o2bo3b3ob2o5bo$58b2o
2bo2bo2b2o5b2ob2o$60b3o4bo3bob3o2bo$60bo5b5ob2o3b2o$64b3o4bo$63bo2bob
2obo$63b2o2bo2bo$68b2o!

These turners work in rules B3/S234 to B38/S023478. What Life-like cellular automata are known to be omniperiodic?

Edit: I noticed that there is a much smaller conduit based on the one I posted earlier. Furthermore, one of turners actually rotates the signal 90 degrees and then flips it. By removing the flipping component from the turner, and using the smaller conduit, much smaller tracks can be made:

Code: Select all

x = 58, y = 58, rule = B3/S234
27b2ob2o$24bobobobo$23bob2obo2bo$17bo5bo4b3o2b2o$17b3ob2ob5o5bo$20b2ob
o3bo4bo4b2o$19bo5b2o2bo2b2o3bo$14bo4bo4b2ob3o3b3obo$14b3ob2ob2o5bo3bo
3bo4b2o$17b2obob5obobo2bo2b2o3bo$16bo9bo2b2ob2o3b3obo$11bo4bo4b2o2b2o
5bo3bo3bo4b2o$11b3ob2ob2o2bo9bobo2bo2b2o3bo$14b2obob3o11b2ob2o3b3obo$
13bo22bo3bo3bo4b2o$8bo4bo4b2o16bobo2bo2b2o3bo$8b3ob2ob2o2bo17b2obo4b3o
bo$11b2obob3o21bo3bo3bo4b2o$10bo29bobo2bo2b2o3bo$5bo4bo4b2o24b2ob2o3b
3obo$5b3ob2ob2o2bo27bo3bo3bo$8b2obob3o28bobo2bo2b2o$7bo37b2ob2o3bo$3b
2o2bo4b2o34bo3bob2o$3bo2b2ob2o2bo34bobo2bo2bo$5b2obob3o33bobob2obobo$o
bo43b3o2bobob2o$2obo5b2o39bob2o3bo$3bo2b2o2bo37b3o2b5o$5o2b3o37bo2b2o
2bo$o3b2obo39b2o5bob2o$b2obobo2b3o43bobo$2bobob2obobo33b3obob2o$bo2bo
2bobo34bo2b2ob2o2bo$2b2obo3bo34b2o4bo2b2o$4bo3b2ob2o37bo$4b2o2bo2bobo
28b3obob2o$5bo3bo3bo27bo2b2ob2ob3o$4bob3o3b2ob2o24b2o4bo4bo$4bo3b2o2bo
2bobo29bo$3b2o4bo3bo3bo21b3obob2o$8bob3o3b2ob2o17bo2b2ob2ob3o$8bo3b2o
2bo2bobo16b2o4bo4bo$7b2o4bo3bo3bo22bo$12bob3o3b2ob2o11b3obob2o$12bo3b
2o2bo2bobo9bo2b2ob2ob3o$11b2o4bo3bo3bo5b2o2b2o4bo4bo$16bob3o3b2ob2o2bo
9bo$16bo3b2o2bo2bobob5obob2o$15b2o4bo3bo3bo5b2ob2ob3o$20bob3o3b3ob2o4b
o4bo$20bo3b2o2bo2b2o5bo$19b2o4bo4bo3bob2o$23bo5b5ob2ob3o$23b2o2b3o4bo
5bo$26bo2bob2obo$27bobobobo$26b2ob2o!

The minimum compression for these "new" tracks is 5 generations. Also, these tracks work in a few more rules (B3/S234 to B3/S0234678).

Edit 2: I built a 28-generation signal turner, which allows oscillators of periods that are multiples of 8, and which should also prove that this rule is omniperiodic:

Code: Select all

x = 144, y = 148, rule = B3/S234
65b2o$65bo$67bob2o$66b2ob2o2bo$65bobo3b3o$64bobob3o$64b2ob2obob4o$66bo
3bo2bo2bob2o$59b2o3b2ob4obo2b2obobo$59bo2b3obo4bo5bobobo$58b2ob2o5b3o
3bobobobo$61bo5b2o2b4obobo$61bo2b2o5bo4b2obo$60b3o2b4o5b3o2b3o$55b2o2b
o2b2obo2bo6bo2b2o2bo$55bo2bobobobob2o5bobo5b2o$56b2ob2obobobo6b2o$57bo
bo2bobob2o9b2obob3o$57bo3bobo14b2ob2o2bo$54b2ob2o3bo13bo2bo4b2o$53bobo
2bo2b2obo8bo2b2obo$53bo3bo3bo2b3o6b3obo2b2obob3o$50b2ob2o3b3ob3o2bo4b
2o4b2ob2ob2o2bo$49bobo2bo2b2obobo3b2o14bo4b2o$49bo3bo3bo2bo21bo$46b2ob
2o3b3o2b2o22b2obob3o$45bobo2bo2b2o25b3ob2ob2o2bo$45bo3bo3bo26bo4bo4b2o
$42b2ob2o3b3obo30bo$41bobo2bo2b2o3bo31b2obob3o$41bo3bo3bo4b2o27b3ob2ob
2o2bo$38b2ob2o3b3obo32bo4bo4b2o$37bobo2bo2b2o3bo37bo$37bo3bo3bo4b2o37b
2obob3o$34b2ob2o3b3obo39b3ob2ob2o2bo$33bobo2bo2b2o3bo39bo4bo4b2o$33bo
3bo3bo4b2o43bo$30b2ob2o3b3obo49b2obob3o$29bobo2bo2b2o3bo46b3ob2ob2o2bo
$29bo3bo3bo4b2o45bo4bo4b2o$26b2ob2o3b3obo55bo$25bobo2bo2b2o3bo56b2obob
3o$25bo3bo3bo4b2o52b3ob2ob2o2bo$22b2ob2o3b3obo57bo4bo4b2o$21bobo2bo2b
2o3bo62bo$21bo3bo3bo4b2o62b2obob3o$18b2ob2o3b3obo64b3ob2ob2o2bo$17bobo
2bo2b2o3bo64bo4bo4b2o$17bo3bo3bo4b2o68bo$14b2ob2o3b3obo74b2obob3o$9bo
3bobo2bo2b2o3bo71b3ob2ob2o2bo$8bobo2bo3bo3bo4b2o70bo4bo4b2o$7bobo2b3o
3b3obo80bo$7b2ob2o2bo2b2o3bo81b2obob3o$9bo2bo4bo2b2o79b3ob2ob2o2bo$7b
2ob4o5b2o80bo4bo4b2o$6bobo4b3o5bo84bo$6bo3b2obo2bo4bo85b2obob3o$3b2ob
2o3bo3b2o3b3o81b3ob2ob2o2bo$4bobobo2bo10bo81bo4bo4b2o$4bo4bob2o96bo$2b
2ob4obo99b2obob3o$2b2obo2bobo96b3ob2ob2o2bo$5b2obob2ob2o92bo4bo4b2o$2b
3obobo2bobobobo4b2o88bo$o2bobobobo3bob3o3bobo89b2obob3o$2o2bobobo3b3o
6bo88b3ob2ob2o2bo$5b2ob2o2bo2b3o2b3o87bo4bo4b2o$9bo4bo3bo3bo92bo$9b2o
2b5ob2ob2o92b2obob3o$10b4o4bob2o91b3ob2ob2o2bo$8bo4bob2o5b4o87bo4bo4b
2o3b2o$8b3o3bob2o4bo2bo92bo8bobo$10bo4bo3b2ob2o95b2obob4o$16b4obob2o
95b2ob2o3bo4bo$14bobo8bo92bo2bo4b2obo3b3o$14b2o3b2o4bo4bo87b4o5b2obo4b
o$19bo2b2ob2ob3o91b2obo4b4o$20b3obob2o92b2ob2ob5o2b2o$28bo92bo3bo3bo4b
o$22b2o4bo4bo87b3o2b3o2bo2b2ob2o$22bo2b2ob2ob3o88bo6b3o3bobobo2b2o$23b
3obob2o89bobo3b3obo3bobobobo2bo$31bo88b2o4bobobobo2bobob3o$25b2o4bo4bo
92b2ob2obob2o$25bo2b2ob2ob3o96bobo2bob2o$26b3obob2o99bob4ob2o$34bo96b
2obo4bo$28b2o4bo4bo81bo10bo2bobobo$28bo2b2ob2ob3o81b3o3b2o3bo3b2ob2o$
29b3obob2o85bo4bo2bob2o3bo$37bo84bo5b3o4bobo$31b2o4bo4bo80b2o5b4ob2o$
31bo2b2ob2ob3o79b2o2bo4bo2bo$32b3obob2o81bo3b2o2bo2b2ob2o$40bo80bob3o
3b3o2bobo$34b2o4bo4bo70b2o4bo3bo3bo2bobo$34bo2b2ob2ob3o71bo3b2o2bo2bob
o3bo$35b3obob2o74bob3o3b2ob2o$43bo68b2o4bo3bo3bo$37b2o4bo4bo64bo3b2o2b
o2bobo$37bo2b2ob2ob3o64bob3o3b2ob2o$38b3obob2o62b2o4bo3bo3bo$46bo62bo
3b2o2bo2bobo$40b2o4bo4bo57bob3o3b2ob2o$40bo2b2ob2ob3o52b2o4bo3bo3bo$
41b3obob2o56bo3b2o2bo2bobo$49bo55bob3o3b2ob2o$43b2o4bo4bo45b2o4bo3bo3b
o$43bo2b2ob2ob3o46bo3b2o2bo2bobo$44b3obob2o49bob3o3b2ob2o$52bo43b2o4bo
3bo3bo$46b2o4bo4bo39bo3b2o2bo2bobo$46bo2b2ob2ob3o39bob3o3b2ob2o$47b3ob
ob2o37b2o4bo3bo3bo$55bo37bo3b2o2bo2bobo$49b2o4bo4bo32bob3ob4ob2o$49bo
2b2ob2ob3o27b2o4bo3b3obo$50b3obob2o31bo3b2o2bo2bobo$58bo30bob3o3b2ob2o
$52b2o4bo4bo26bo3bo3bo$52bo2b2ob2ob3o25b2o2bo2bobo$53b3obob2o22b2o2b3o
3b2ob2o$61bo21bo2bo3bo3bo$55b2o4bo14b2o3bobob2o2bo2bobo$55bo2b2ob2ob2o
4b2o4bo2b3ob3o3b2ob2o$56b3obob2o2bob3o6b3o2bo3bo3bo$64bob2o2bo8bob2o2b
o2bobo$58b2o4bo2bo13bo3b2ob2o$58bo2b2ob2o14bobo3bo$59b3obob2o9b2obobo
2bobo$69b2o6bobobob2ob2o$61b2o5bobo5b2obobobobo2bo$61bo2b2o2bo6bo2bob
2o2bo2b2o$62b3o2b3o5b4o2b3o$64bob2o4bo5b2o2bo$65bobob4o2b2o5bo$63bobob
obo3b3o5b2ob2o$62bobobo5bo4bob3o2bo$63bobob2o2bob4ob2o3b2o$64b2obo2bo
2bo3bo$68b4obob2ob2o$73b3obobo$70b3o3bobo$70bo2b2ob2o$73b2obo$78bo$77b
2o!

It obviously could be improved, but, for now, it gets the job done. This should be sufficient to prove that rules B3/S234 to B38/S023478 are omniperiodic.

Edit 3: I bothered building oscillators of periods 59, 60, 63, and 64, as well as a new period-55 oscillator:

Code: Select all

x = 256, y = 309, rule = B3/S234
48bob2o$2bob2o6bob2o26b2o2b4o2bo91b2obo6b2obo$2b2obo6b2obo26bo2bo4b3o
2b2o87bob2o6bob2o$2o8b2o31b2ob3o7bo85b2o8b2o4b2o$bo9bo30b2obo4bo3bo87b
o9bo5bo$o9bo30bo5b2o2bo2b2o87bo9bo5bo$2o8b2o29bo4b2ob3o3b3o2b2o80b2o8b
2o4b2o$2bob2o6bob2o21b2ob2ob2o5bo3bo3bo2bo82b2obo4bo5bo$2b2obo6b2obo
21bob2obob5obobo2bo2b2o2b2o80bob2o5bo5bo$6b2o8b2o17b2obo9bo2b2ob2o3b3o
bo78b2o4b2o2b2o4b2o$7bo9bo17bo2bo4b2o2b2o5bo3bo3bo79bo5bo3bo5bo$6bo9bo
20b2ob2o2bo9bobo2bo2b2o79bo5bo3bo5bo$6b2o8b2o18b2obob3o11b2ob2o3b3o2b
2o72b2o4b2o2b2o4b2o$2bob2o6bob2o19bo22bo3bo3bo2bo74b2obo6b2obo$2b2obo
6b2obo19bo4b2o16bobo2bo2b2o2b2o72bob2o6bob2o15bob2o$31b2ob2ob2o2bo17b
2ob2o3b3obo95b2o2b4o2bo$31bob2obob3o21bo3bo3bo96bo2bo4b3o2b2o$29b2obo
29bobo2bo2b2o96b2ob3o7bo$29bo2bo4b2o24b2ob2o3b3o2b2o89b2obo4bo3bo$31b
2ob2o2bo27bo3bo3bo2bo88bo5b2o2bo2b2o$30b2obob3o28bobo2bo2b2o2b2o86bo4b
2ob3o3b3o$29bo37b2ob2o3b3obo82b2ob2ob2o5bo3bo3bob2o$29bo4b2o34bo3bo3bo
83bob2obob5obobo2bo2b2obo$25b2ob2ob2o2bo34bobo2bo2b2o80b2obo9bo2b2ob2o
3bo$25bob2obob3o36b2ob2o3b3o2b2o74bo2bo4b2o2b2o5bo3bobo$23b2obo47bo3bo
3bo2bo76b2ob2o2bo9bobo2bobo$23bo2bo4b2o41bobo2bo2b2o2b2o73b2obob3o8bob
ob2obobo$25b2ob2o2bo42b2ob2o3b3obo89b3o2bobob2o$24b2obob3o46bo3bo3bo
71b2o5b2o14bob2obo$23bo54bobo2bo2b2o69bobo2b2o2bo12b3o2b2obo$23bo4b2o
49b2ob2o3b3o2b2o63bob2o2b3o12bo2b2o2bobo$19b2ob2ob2o2bo52bo3bo3bo2bo
64bob2obo14b2o5b2o$19bob2obob3o53bobo2bo2b2o2b2o61b2obobo2b3o$17b2obo
62b2ob2o3b3obo62bobob2obobo8b3obob2o$17bo2bo4b2o59bo3bo3bo63bobo2bobo
9bo2b2ob2o$19b2ob2o2bo59bobo2bo2b2o63bobo3bo5b2o2b2o4bo2bo$18b2obob3o
61b2ob2o3b3o62bo3b2ob2o2bo9bob2o$17bo72bo3bo3bob2o56bob2o2bo2bobob5obo
b2obo$17bo4b2o66bobo2bo2b2obo56b2obo3bo3bo5b2ob2ob2o$13b2ob2ob2o2bo67b
2ob2o3bo62b3o3b3ob2o4bo$13bob2obob3o71bo3bobo63b2o2bo2b2o5bo$11b2obo
79bobo2bobo63bo4bo3bob2o$11bo2bo4b2o71bobob2obobo61bo5b5ob2o$13b2ob2o
2bo71b3o2bobob2o60b2o2b3o4bo2bo$12b2obob3o76bob2obo65bo2b4o2b2o$11bo
82b3o2b2obo65b2obo$11bo4b2o75bo2bo3bobo$7b2ob2ob2o2bo75b2o5b2o$7bob2ob
ob3o$5b2obo82b3obob2o$5bo2bo4b2o75bo2b2ob2o$7b2ob2o2bo75b2o4bo2bo$6b2o
bob3o82bob2o$88b3obob2obo$3b2o5b2o75bo2b2ob2ob2o$2bobo3bo2bo75b2o4bo$
2bob2o2b3o82bo$3bob2obo76b3obob2o$2b2obobo2b3o71bo2b2ob2o$3bobob2obobo
71b2o4bo2bo$3bobo2bobo79bob2o$4bobo3bo71b3obob2obo$5bo3b2ob2o67bo2b2ob
2ob2o$3bob2o2bo2bobo66b2o4bo$3b2obo3bo3bo72bo$7b3o3b2ob2o61b3obob2o$9b
2o2bo2bobo59bo2b2ob2o$10bo3bo3bo59b2o4bo2bo$9bob3o3b2ob2o62bob2o$9b2o
2b2o2bo2bobo53b3obob2obo$11bo2bo3bo3bo52bo2b2ob2ob2o$11b2o2b3o3b2ob2o
49b2o4bo$17b2o2bo2bobo54bo$18bo3bo3bo46b3obob2o$17bob3o3b2ob2o42bo2b2o
b2o$17b2o2b2o2bo2bobo41b2o4bo2bo$19bo2bo3bo3bo47bob2o$19b2o2b3o3b2ob2o
36b3obob2obo$25b2o2bo2bobo34bo2b2ob2ob2o$26bo3bo3bo34b2o4bo$25bob3o3b
2ob2o37bo$25b2o2b2o2bo2bobo28b3obob2o$27bo2bo3bo3bo27bo2b2ob2o$27b2o2b
3o3b2ob2o24b2o4bo2bo$33b2o2bo2bobo29bob2o$34bo3bo3bo21b3obob2obo$33bob
3o3b2ob2o17bo2b2ob2ob2o$33b2o2b2o2bo2bobo16b2o4bo$35bo2bo3bo3bo22bo$
35b2o2b3o3b2ob2o11b3obob2o$41b2o2bo2bobo9bo2b2ob2o$42bo3bo3bo5b2o2b2o
4bo2bo$41bob3o3b2ob2o2bo9bob2o$41b2o2b2o2bo2bobob5obob2obo$43bo2bo3bo
3bo5b2ob2ob2o$43b2o2b3o3b3ob2o4bo$49b2o2bo2b2o5bo$50bo3bo4bob2o$48bo7b
3ob2o$48b2o2b3o4bo2bo$52bo2b4o2b2o$53b2obo14$47bob2o$41b2o2b4o2bo141bo
b2o$41bo2bo4b3o2b2o131b2o2b4o2bo$2bob2o6b2obo26b2ob5o5bo88b2obo4b2obo
31bo2bo4b3o2b2o$2b2obo6bob2o25b2obo3bo4bo4b2o84bob2o4bob2o32b2ob5o5bo$
2o8b2o4b2o22bo5b2o2bo2b2o3bo83b2o12b2o29b2obo3bo4bo4b2o$bo8bo5bo18bo4b
o4b2ob3o3b3obo83bo13bo29bo5b2o2bo2b2o3bo$o10bo5bo17b3ob2ob2o5bo3bo3bo
4b2o79bo13bo23bo4bo4b2ob3o3b3obo$2o8b2o4b2o20b2obob5obobo2bo2b2o3bo79b
2o12b2o23b3ob2ob2o5bo3bo3bo4b2o$2bob2o6b2obo21bo9bo2b2ob2o3b3obo81b2ob
o4b2obo28b2obob5obobo2bo2b2o3bo$2b2obo6bob2o16bo4bo4b2o2b2o5bo3bo3bo4b
2o76bob2o4bob2o27bo9bo2b2ob2o3b3obo$6b2o8b2o14b3ob2ob2o2bo9bobo2bo2b2o
3bo75b2o4b2o6b2o20bo4bo4b2o2b2o5bo3bo3bo4b2o$7bo8bo18b2obob3o11b2ob2o
3b3obo75bo5bo7bo21b3ob2ob2o2bo9bobo2bo2b2o3bo$6bo10bo16bo22bo3bo3bo4b
2o71bo5bo7bo23b2obob3o11b2ob2o3b3obo$6b2o8b2o11bo4bo4b2o16bobo2bo2b2o
3bo71b2o4b2o6b2o22bo22bo3bo3bo4b2o$2bob2o6b2obo13b3ob2ob2o2bo17b2ob2o
3b3obo73b2obo4b2obo19bo4bo4b2o16bobo2bo2b2o3bo$2b2obo6bob2o16b2obob3o
21bo3bo3bo4b2o68bob2o4bob2o19b3ob2ob2o2bo17b2ob2o3b3obo$31bo29bobo2bo
2b2o3bo103b2obob3o21bo3bo3bo4b2o$26bo4bo4b2o24b2ob2o3b3obo102bo29bobo
2bo2b2o3bo$26b3ob2ob2o2bo27bo2b2o3bo4b2o92bo4bo4b2o24b2ob2o3b3obo$29b
2obob3o28bobob2o2b2o3bo93b3ob2ob2o2bo27bo3bo3bo4b2o$28bo37b2ob2o3b3obo
96b2obob3o28bobo2bo2b2o3bo$23bo4bo4b2o34bo3bo3bo4b2o90bo37b2obo4b3obo$
23b3ob2ob2o2bo34bobo2bo2b2o3bo86bo4bo4b2o34bo3bo3bo4b2o$26b2obob3o36b
2ob2o3b3obo86b3ob2ob2o2bo34bobo2bo2b2o3bo$25bo47bo3bo3bo4b2o84b2obob3o
36b2ob2o3b3obo$20bo4bo4b2o41bobo2bo2b2o3bo84bo47bo3bo3bo4b2o$20b3ob2ob
2o2bo42b2ob2o3b3obo79bo4bo4b2o41bobo2bo2b2o3bo$23b2obob3o46bo3bo3bo4b
2o74b3ob2ob2o2bo42b2ob2o3b3obo$22bo54bobo2bo2b2o3bo78b2obob3o46bo3bo3b
o4b2o$17bo4bo4b2o49b2ob2o3b3obo77bo54bobo2bo2b2o3bo$17b3ob2ob2o2bo52bo
3bo3bo4b2o67bo4bo4b2o49b2ob2o3b3obo$20b2obob3o53bobo2bo2b2o3bo68b3ob2o
b2o2bo52bo3bo3bo4b2o$19bo62b2ob2o3b3obo71b2obob3o53bobo2bo2b2o3bo$14bo
4bo4b2o59bo3bo3bo4b2o65bo62b2ob2o3b3obo$14b3ob2ob2o2bo59bobo2bo2b2o3bo
61bo4bo4b2o59bo3bo3bo4b2o$17b2obob3o61b2ob2o3b3obo61b3ob2ob2o2bo59bobo
2bo2b2o3bo$16bo72bo3bo3bo4b2o59b2obob3o61b2ob2o3b3obo$11bo4bo4b2o66bob
o2bo2b2o3bo59bo72bo3bo3bo4b2o$11b3ob2obo3bo67b2ob2o3b3obo54bo4bo4b2o
66bobo2bo2b2o3bo$14b2obob3o71bo3bo3bo55b3ob2ob2o2bo67b2ob2o3b3obo$13bo
79bobo2bo2b2o57b2ob5o71bo3bo3bo$8bo4bo4b2o74b2ob2o3b3o54bo3bo75bobo2bo
2b2o$8b3ob2ob2o2bo77bo3bo3bob2o45bo4bo4b2o74b2ob2o3b3o$11b2obob3o78bob
o2bo2b2obo45b3ob2ob2o2bo77bo3bo3bob2o$10bo87b2ob2o3bo50b2obob3o78bobo
2bo2b2obo$5bo4bo4b2o84bo3bobo48bo87b2ob2o3bo$5b3ob2ob2o2bo84bobo2bobo
42bo4bo4b2o84bo3bobo$8b2obob3o83bobob2obobo42b3ob2ob2o2bo84bobo2bobo$
7bo91b3o2bobob2o44b2obob3o83bobob2obobo$3b2o2bo4b2o89bob2obo44bo91b3o
2bobob2o$3bo2b2ob2o2bo87b3o2b2obo38bo4bo4b2o89bob2obo$5b2obob3o87bo2b
2o2bobo38b3ob2ob2o2bo87b3o2b2obo$100b2o5b2o42b2obob3o87bo2b2o2bobo$2b
2o5b2o139bo95b2o5b2o$bobo2b2o2bo87b3obob2o39bo4bo4b2o$bob2o2b3o87bo2b
2ob2o2bo37b3ob2ob2o2bo87b3obob2o$2bob2obo89b2o4bo2b2o40b2obob3o87bo2b
2ob2o2bo$b2obobo2b3o91bo43bo95b2o4bo2b2o$2bobob2obobo83b3obob2o40b2o2b
o4b2o95bo$2bobo2bobo84bo2b2ob2ob3o37bo2b2ob2o2bo87b3obob2o$3bobo3bo84b
2o4bo4bo39b2obob3o87bo2b2ob2ob3o$4bo3b2ob2o87bo139b2o4bo4bo$2bob2o2bo
2bobo78b3obob2o42b2o5b2o95bo$2b2obo3bo3bo77bo2b2ob2ob3o38bobo2b2o2bo
87b3obob2o$6b3o3b2ob2o74b2o4bo4bo38bob2o2b3o87bo2b2ob2ob3o$8b2o2bo2bob
o79bo44bob2obo89b2o4bo4bo$9bo3bo3bo71b3obob2o44b2obobo2b3o91bo$8bob3o
3b2ob2o67bo3bob2ob3o42bobob2obobo83b3obob2o$8bo3b2o2bo2bobo66b2o4bo4bo
42bobo2bobo84bo2b2ob2ob3o$7b2o4bo3bo3bo72bo48bobo3bo84b2o4bo4bo$12bob
3o3b2ob2o61b3obob2o50bo3b2ob2o87bo$12bo3b2o2bo2bobo59bo2b2ob2ob3o45bob
2o2bo2bobo78b3obob2o$11b2o4bo3bo3bo59b2o4bo4bo45b2obo3bo3bo77bo2b2ob2o
b3o$16bob3o3b2ob2o62bo54b3o3b2ob2o74b2o4bo4bo$16bo3b2o2bo2bobo53b3obob
2o57b2o2bo2bobo75bo3bo$15b2o4bo3bo3bo52bo2b2ob2ob3o55bo3bo3bo71b5ob2o$
20bob3o3b2ob2o49b2o4bo4bo54bob3o3b2ob2o67bo2b2ob2ob3o$20bo3b2o2bo2bobo
54bo59bo3b2o2bo2bobo66b2o4bo4bo$19b2o4bo3bo3bo46b3obob2o59b2o4bo3bo3bo
72bo$24bob3o3b2ob2o42bo2b2ob2ob3o61bob3o3b2ob2o61b3obob2o$24bo3b2o2bo
2bobo41b2o4bo4bo61bo3b2o2bo2bobo59bo2b2ob2ob3o$23b2o4bo3bo3bo47bo65b2o
4bo3bo3bo59b2o4bo4bo$28bob3o3b2ob2o36b3obob2o71bob3o3b2ob2o62bo$28bo3b
2o2bo2bobo34bo2b2ob2ob3o68bo3b2o2bo2bobo53b3obob2o$27b2o4bo3bo3bo34b2o
4bo4bo67b2o4bo3bo3bo52bo2b2ob2ob3o$32bob3o3b2ob2o37bo77bob3o3b2ob2o49b
2o4bo4bo$32bo3b2o2b2obobo28b3obob2o78bo3b2o2bo2bobo54bo$31b2o4bo3b2o2b
o27bo2b2ob2ob3o74b2o4bo3bo3bo46b3obob2o$36bob3o3b2ob2o24b2o4bo4bo79bob
3o3b2ob2o42bo2b2ob2ob3o$36bo3b2o2bo2bobo29bo84bo3b2o2bo2bobo41b2o4bo4b
o$35b2o4bo3bo3bo21b3obob2o84b2o4bo3bo3bo47bo$40bob3o3b2ob2o17bo2b2ob2o
b3o86bob3o3b2ob2o36b3obob2o$40bo3b2o2bo2bobo16b2o4bo4bo86bo3b2o2bo2bob
o34bo2b2ob2ob3o$39b2o4bo3bo3bo22bo90b2o4bo3bo3bo34b2o4bo4bo$44bob3o3b
2ob2o11b3obob2o96bob3o4bob2o37bo$44bo3b2o2bo2bobo9bo2b2ob2ob3o93bo3b2o
2bo2bobo28b3obob2o$43b2o4bo3bo3bo5b2o2b2o4bo4bo92b2o4bo3bo3bo27bo2b2ob
2ob3o$48bob3o3b2ob2o2bo9bo102bob3o3b2ob2o24b2o4bo4bo$48bo3b2o2bo2bobob
5obob2o103bo3b2o2bo2bobo29bo$47b2o4bo3bo3bo5b2ob2ob3o99b2o4bo3bo3bo21b
3obob2o$52bob3o3b3ob2o4bo4bo104bob3o3b2ob2o17bo2b2ob2ob3o$52bo3b2o2bo
2b2o5bo109bo3b2o2bo2bobo16b2o4bo4bo$51b2o4bo4bo3bob2o109b2o4bo3bo3bo
22bo$55bo5b5ob2o115bob3o3b2ob2o11b3obob2o$55b2o2b3o4bo2bo114bo3b2o2bo
2bobo9bo2b2ob2ob3o$59bo2b4o2b2o113b2o4bo3bo3bo5b2o2b2o4bo4bo$60b2obo
124bob3o3b2ob2o2bo9bo$188bo3b2o2bo2bobob5obob2o$187b2o4bo3bo3bo5b2ob2o
b3o$192bob3o3b3ob2o4bo4bo$192bo3b2o2bo2b2o5bo$191b2o4bo4bo3bob2o$195bo
5b5ob2o$195b2o2b3o4bo2bo$199bo2b4o2b2o$200b2obo12$144b2obo4b2o3b2o$
144bob2o4b2o3b2o$142b2o$142bo9b2o3b2o$143bo8bobobobo$142b2o10bobo$144b
2obo5b2obo$144bob2o9b2o$142b2o4b2o8bo22b2o$142bo5bo8bo23bo2bo$143bo5bo
7b2o23b3o$142b2o4b2o8bo17b2ob3o$144b2obo9bo17bo2b2obob4o$144bob2o9b2o
15bo2bo3bo2bo2bob2o$175b2ob4obo2b2obobo$174b2obo4bo5bobobo$170b2o7b3o
3bobobobo$170bobo5b2o2b4obobo$172bo2b2o5bo4b2obo$171b3o2b4o5b3o2b3o$
166b2o2bo2b2obo2bo6bo2b2o2bo$166bo2bobobobob2o5bobo5b2o3b2o$167b2ob2ob
obo8b2o10bobo$168bobo2bobo12b2obob4o$168bo3bobo12bob2obo4bo$165b2ob2o
3bo13bo2bo4b2obo2b2o$160bo3bobo2bo2b2obo10b2o2bo5b2obo2bo$159bobo2bo3b
o3bob2o15b2obo4b3o$158bobo2b3o3b3o20b2ob5o$158b2ob2o2bo2b2o21bo2bo3bo
4bobo$160bo2bo4bo22b2o2b3o2bo2b2obo$158b2ob4o4b3o26b3o3bo2bo$157bobo4b
3o4bo25bobo3bobobo$157bo3b2obo2bo29bobobo2bobo$154b2ob2o3bo3b2o30b2ob
2obob2o$155bobobo2bo39bobo2bo$153bobo4bob2o38bob4ob2o$153b2ob4obo38b2o
bo4bobo$156bo2bobo39bo2bobobo$156b2obob2ob2o30b2o3bo3b2ob2o$157bobo2bo
bobo29bo2bob2o3bo$156bobobo3bobo25bo4b3o4bobo$156bo2bo3b3o26b3o4b4ob2o
$157bob2o2bo2b3o2b2o22bo4bo2bo$158bobo4bo3bo2bo21b2o2bo2b2ob2o$164b5ob
2o20b3o3b3o2bobo$162b3o4bob2o15b2obo3bo3bo2bobo$161bo2bob2o5bo2b2o10bo
b2o2bo2bobo3bo$161b2o2bob2o4bo2bo13bo3b2ob2o$166bo4bob2obo12bobo3bo$
167b4obob2o12bobo2bobo$165bobo10b2o8bobob2ob2o$165b2o3b2o5bobo5b2obobo
bobo2bo$170bo2b2o2bo6bo2bob2o2bo2b2o$171b3o2b3o5b4o2b3o$173bob2o4bo5b
2o2bo$174bobob4o2b2o5bobo$172bobobobo3b3o7b2o$171bobobo5bo4bob2o$172bo
bob2o2bob4ob2o$173b2obo2bo2bo3bo2bo$177b4obob2o2bo$182b3ob2o$179b3o$
179bo2bo$181b2o!

Obviously, the stator reductions applied to the p55 could also be applied to the other tracks.

[Awesomeness]

Just an example of how bad I am at stabilizing things:

Code: Select all

x = 111, y = 29, rule = B3/S234
90bo4bobo2bo3b2o$obobo9bo74bobob10o2bo$obob10o75bobobo8b2o$obobo8bo74b
2obob2ob2o2b2o$obob2ob2o2b2o76bobo2bobo4b3o$obo2bobo4b3o74b6ob5o2bo$6o
b5o2bo86bob2o$12bobo74b8ob3obobo$8ob3obo75bo6bobobobobob2o$7bobobobo
76b6o2bobob2obo2bo$7o2bobob2o74b2obo3bob2obobobo2bo$o2bo3bob2obobo75bo
bob5o2bob2ob2o$bobob5o2bobo74b2obobobobobo2bo2bo$bobobobobobo2bo75bobo
bobobob4o2b2o$bobobobobob4o74b2obobob3o$bobobob3o80bobobo4b5o$bobobo4b
5o75bob2ob4o5bo$bob2ob4o79b2o2bobo2bob4obob2o$2o2bobo2bob4o76bobob2obo
bo2bobobobo$2bobob2obobo2bo76bobo2bobo2b3obob2o$obobo2bobo2b3o75b2obob
2obo3bobo$obobob2obo3bo77bob2obobobobobob5o$2bob2obobobobo77b2obobobob
5obobobo$4obobo2b5o82bo9bo$98b3ob2ob2o$99bob2ob2o$97bo9bo$97b11o$99bo
2bo2bo!

This has been found before.

But anyways, are there spaceships in this rule? Could there be any way to use these signals besides oscillation?

[Extrementhusiast]

But anyways, are there spaceships in this rule? Could there be any way to use these signals besides oscillation?

David Eppstein's webpage lists four, including what might be called a glider counterpart in this rule.

[Sokwe]

Are there spaceships in this rule?

Earlier in this topic there was some discussion of spaceships. Here is a collection of most of the interesting ships:

Code: Select all

x = 389, y = 288, rule = B3/S234
34bo$24bobobo5bo2bobobo$235bo$24bo8bo7bo183bobobo5bo2bobobo$33bo$24bo
12bobobo183bo8bo7bo138bo$32bo201bo136bobobo5bo2bo3bo$24bo7bo4bo187bo
12bobobo$233bo137bo8bo3bo3bo$24bobobo2bo5bobobo183bo7bo8bo137bo$31bo
339bo12bobobo$225bobobo2bo5bobobo136bo$232bo138bo7bo8bo2$371bobobo2bo
9bo$378bo5$379b2o$381bo$379b2o$378b2o$57b3ob3o$230bo3bo$55b5ob5o164bo
3bo$obobo3bobobo43b3o3b3o163bobo3bobo$30bobobobo19b2obobob2o159b2o4bo
3bo4b2o$o3bo7bo15bobobobobobo18bobobobo161bo2bo2bobo2bo2bo57bo5bo$30bo
b3obo22bobo162bobobo2bobo2bobobo19b2o9b2o24bo5bo$obobo3bobobo11b2obobo
7bobob2o12b3obobob3o45bobo110b2o3bob3obo3b2o17bo3bo7bo3bo24b3o$28bo9bo
20bobo21b2ob2o23bobo111bo3b2o3b2o3bo16b2o17b2o17bo3bo3bo3bo$o7bo15bo3b
o2bo3bo2bo3bo10b5obobob5o44bo110bobobob2o3b2obobobo18bob2o5b2obo22b3ob
obob3o20bo6bo10bo6bo$25b4obo5bob4o12b3o2bobo2b3o13b2o2bobo2b2o21bo109b
o2bob2o7b2obo2bo11bo5b2o9b2o5bo11bo8bobo8bo14bo8bo8bo8bo$o7bobobo13b2o
2bobobobo2b2o13b2obobobobob2o16b2ob2o21b2ob2o110bo2b2o7b2o2bo14b4o5bo
3bo5b4o11bo3b2o4bobo4b2o3bo13b3o4b3o8b3o4b3o$30b3ob3o18bobobobobobo14b
o9bo16bo4b4o106b2o17b2o13bo5bo2bobo2bo5bo12bobo4bob2ob2obo4bobo14bob4o
bo10bob4obo$31bo3bo21bobobobo17b2o5b2o17b2o2bo2bo147b2obobob2o19b3o3bo
b2ob2obo3b3o15bobob2obobobo2bobobob2obobo$53b3obobobobob3o14bo5bo16b4o
b5o107bo3b2o2b2ob2o2b2o3bo16b3o3bobo3b3o17bo3bo9bo3bo17b2obo2bob8obo2b
ob2o$57bobobobo41b3o4b2o107bo8bo3bo8bo21bobo30b2ob2o26b2o2b2o2b4o2b2o
2b2o$51b5obobobobob5o12bo5bo17bo112b5o3b2o2bobo2b2o3b5o12bobob2obobob
2obobo18b2ob2obobob2ob2o22b4o10b4o$30bobobobo15b3o2bobobobo2b3o13bobob
obo15bobobobo109b2obobo3bobobobo3bobob2o11bo2b2o2bobobobo2b2o2bo18b2ob
2ob2ob2o22bo6bo6bo6bo$28bobobobobobo13b2obobobobobobob2o11bobobobobobo
11bobobobobobo108bobobo2b2obobob2o2bobobo11bo7bobobobo7bo13bob4obo3bob
4obo17bo8bo4bo8bo$21b2o7bob3obo7b2o7bobobobobobobobo14bob3obo15bob3obo
110bobob2ob2obobob2ob2obobo12b2obo3bobobobo3bob2o13bo19bo16b3o4b2o6b2o
4b3o$24bo2bobo7bobo2bo12bobobobobobo10b2obobo7bobob2o3b2obobo7bobob2o
105b2obo3bobobobo3bob2o11bo4bo3bobobobo3bo4bo12b2obo11bob2o18bob4obo6b
ob4obo$21bo3bo2bo9bo2bo3bo6bo2bob2o3b2obo2bo11bo9bo11bo9bo39bo3bo66b2o
4bobobobo4b2o12bobo2bob2o2bobo2b2obo2bobo14bo4bo3bo4bo20bobob2obobo2bo
bob2obobo$22b2o4bo2bo3bo2bo4b2o7bo2b3o5b3o2bo7bo3bo2bo3bo2bo3bo3bo3bo
2bo3bo2bo3bo35bo3bo65b3obo3b2ob2o3bob3o12bo3bob2ob2ob2ob2obo3bo17b2o2b
obo2b2o23bo3bobob4obobo3bo$23bob4obo5bob4obo9bo2bo7bo2bo9b4obo5bob4o5b
4obo5bob4o104bo2b4o11b4o2bo10bobobo2b3o3b3o2bobobo15bo4b2ob2o4bo25bobo
6bobo$26b2o2bobobobo2b2o12b4o7b4o10b2o2bobobobo2b2o7b2o2bobobobo2b2o
34b2ob2ob2ob2o60bo2bo2bo3bo3bo3bo2bo2bo11b2obobob2o3b2obobob2o18bo9bo
23bobobobo6bobobobo$30b3ob3o17b2o9b2o15b3ob3o15b3ob3o109bo2bob5o5b5obo
2bo11b2obobobo5bobobob2o14bo6bo3bo6bo16bo4bob3obo2bob3obo4bo$31bo3bo
47bo3bo17bo3bo40bo2bobo2bo62bobobob2o7b2obobobo14b2obobobobobobob2o17b
3obo3bo3bob3o16bo5bo6b2o6bo5bo$150b2obobob2o63b2obo2bo7bo2bob2o15b2ob
5ob5ob2o18b4o2bobo2b4o17b3o2b2o14b2o2b3o$151bobobobo64b2obobo9bobob2o
18b2o7b2o23b2obo3bob2o20bob2o18b2obo$150bo2bobo2bo65b2obobobobobobob2o
55bobobobobo21bobo20bobo$153bobo68b2ob5ob5ob2o50b2o3b3o3b3o3b2o17b2obo
5bo4bo5bob2o$27bobobobobobobobo15bobo2bobo2bobo2bobo2bobo67b2ob2obobob
2ob2o65b2o7b2o56b4obobob4o23bo4bo6bo4bo$25bobobobobobobobobobo11bobobo
2bobo2bobo2bobo2bobobo71bobo135bo8bo8bo19b2obo2b3o2b3o2bob2o$27bob3ob
3ob3obo15bob4ob4ob4ob4obo68bo2bobobobo2bo127bo2bobobo9bobobo2bo19bo3bo
b2obo3bo$21b2obobo15bobob2o3b2obobo23bobob2o12b2o10b2o36b2obobobobob2o
126bobobob5o5b5obobobo17b2obobo4bobob2o$25bo17bo11bo25bo17b3o6b3o38bob
obobobobo127bo3bobob2o3bo3b2obobo3bo20bob2o2b2obo$21bo3bo2bo3bo3bo3bo
2bo3bo3bo3bo2bo3bo3bo3bo3bo3bo2bo3bo13b2obob2obob2o37bo2bobobobo2bo
127bobo2bobo4bo4bobo2bobo20b3o6b3o$22b4obo5bobo5bob4o5b4obo5bobo5bobo
5bob4o14b5o2b5o40bobobobo131bo3bobo2b2ob2o2bobo3bo$23b2o2bobobobobobob
obo2b2o7b2o2bobobobobobobobobobobobo2b2o18b2o2b2o37b2ob2obobobobob2ob
2o130b3o3bo3b3o$27b3ob3ob3ob3o15b3ob3ob3ob3ob3ob3o71bobobobo140b2ob2o$
28bo3bo3bo3bo17bo3bo3bo3bo3bo3bo25b2o40bo2bobobobobobo2bo135bo3bo$104b
o41b2obobobobobobob2o133bo2bobo2bo$147bobobobobobobobo130b2o2bo2bobo2b
o2b2o$102bo5bo37bo2bobobobobobo2bo130bo2b2obobob2o2bo$102bobobobo40bob
obobobobo129bo2bo2bo3bobo3bo2bo2bo$72bobo25bobobobobobo32b2ob2obobobob
obobob2ob2o122bo3bobo4bobo4bobo3bo$72b3o27bob3obo40bobobobobobo64bobob
obo57bobobobo2bobobobo2bobobobo$34bo15bo5bo16bo22b2obobo7bobob2o29bo2b
obobobobobobobo2bo57bo3bobo3bo56b3o2bobo2bobo2bobo2b3o$28bobobobo15bob
obobo14bobobobo22bo9bo33b2obobobobobobobobob2o59bob3obo59bo3bobob2ob2o
bobo3bo$26bobobobobobo11bobobobobobo10bobobobobobo16bo3bo2bo3bo2bo3bo
30bobobobobobobobobobo58b2o7b2o62b4o3b4o$28bob3obo15bob3obo14bob3obo
19b4obo5bob4o30bo2bobobobobobobobo2bo131bo7bo$22b2obobo7bobob2o3b2obob
o7bobob2o2b2obobo7bobob2o14b2o2bobobobo2b2o34bobobobobobobobo59b2o9b2o
$26bo9bo11bo9bo10bo9bo22b3ob3o32b2ob2obobobobobobobobob2ob2o$22bo3bo2b
o3bo2bo3bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo2bo3bo19bo3bo39bobobobobobobob
o59bo2bobobobo2bo$23b4obo5bob4o5b4obo5bob4o4b4obo5bob4o59bo2bobobobobo
bobobobobo2bo51b2o2bo3bobo3bo2b2o$24b2o2bobobobo2b2o7b2o2bobobobo2b2o
6b2o2bobobobo2b2o60b2obobobobobobobobobobob2o52b3o3bo3bo3b3o$28b3ob3o
15b3ob3o14b3ob3o65bobobobobobobobobobobobo52bob2obobo3bobob2obo23bo3bo
$29bo3bo17bo3bo16bo3bo65bo2bobobobobobobobobobo2bo47bo3bobob2obobobob
2obobo3bo17b9o64b2o10b2o$145bobobobobobobobobobo50bobobobob2obo3bob2ob
obobobo12b2o5b2ob2o5b2o57bo3bob2o2b2obo3bo$139b2ob2obobobobobobobobobo
bob2ob2o45b3o2b2o4bobo4b2o2b3o15bob2obobobob2obo57bo3b5o4b5o3bo$145bob
obobobobobobobobo51b3o2b2o5bo5b2o2b3o19bob3obo61bo4b3obo2bob3o4bo$140b
o2bobobobobobobobobobobobo2bo81b2obobo6bo6bobob2o22b2ob2o27bo3b2obo2bo
b2o3bo$140b2obobobobobobobobobobobobob2o52bo2bo5bo2bo21bo13bo23bobo7bo
bo22bo5bob4obo5bo$83bo2bo54bobobobobobobobobobobobobobo53b2obo5bob2o
17bo2bo5bo3bo5bo2bo16bo2bo4bobo4bo2bo19bobobobobo2bobobobobo$40b3o16b
3o10b2o8bo4bo8b2o42bo2bobobobobobobobobobobobo2bo54bo7bo22bobobo7bobob
o18bobobo2bobobobo2bobobo15bo2bobobob8obobobo2bo$49bo2bo22bo3bo2bob2ob
o2bo3bo48bobobobobobobobobobobobo58bo5bo20b2obobo11bobob2o15bo3bo2b2ob
ob2o2bo3bo15b2o2b2ob2o2b4o2b2ob2o2b2o$38b5o2bo2bo4bo2bo2b5o8bo3bo3bobo
4bobo3bo3bo39b2ob2obobobobobobobobobobobobob2ob2o50bo9bo21bobo2b7o2bob
o19bobo13bobo17b2o20b2o$39b3o2bo3bob2obo3bo2b3o10b2o3bobob2o2b2obobo3b
2o46bobobobobobobobobobobobo53bo2bo2bo3bo2bo2bo17b2obo4b3o4bob2o19bo3b
2o5b2o3bo18bo22bo$39b2obobobobo4bobobobob2o11bob5o3b2o3b5obo42bo2bobob
obobobobobobobobobobobo2bo48bob2o2bo3bo2b2obo18b3o11b3o57bo18bo$40bobo
bob4o2b4obobobo15bob2o8b2obo45b2obobobobobobobobobobobobobobob2o55b3o
27bobo7bobo27bo5bo27bobobobo2bobobobo$42bobobo2b4o2bobobo19bo10bo48bob
obobobobobobobobobobobobobobo48b2o5bo3bo5b2o21bo7bo28bo7bo21bobobo2bob
o6bobo2bobobo$39bo2bob2o10b2obo2bo13bo2bo10bo2bo44bo2bobobobobobobobob
obobobobobo2bo48bob4obobob4obo22bobo3bobo28bobo3bobo23bo2bob3obo2bob3o
bo2bo$39bo2b3o12b3o2bo13bo2bobobo2bobobo2bo47bobobobobobobobobobobobob
obo50bob2ob2obobob2ob2obo24bobo34bobo23bo5bo6b2o6bo5bo$40bo2bo14bo2bo
15bo2b4o2b4o2bo42b2ob2obobobobobobobobobobobobobobob2ob2o50bobobobo26b
2o2bobo2b2o26b2o2bobo2b2o19b3o2b2o14b2o2b3o$40b4o14b4o15b4o2b4o2b4o48b
obobobobobobobobobobobobobo50b2o4bobobobo4b2o16bo3b3obobob3o3bo18bo3b
3obobob3o3bo16bob2o18b2obo$41b2o16b2o17b2o10b2o44bo2bobobobobobobobobo
bobobobobobobo2bo49bobobobobobo20bo3bob3ob3obo3bo18bo3bob3ob3obo3bo16b
obo20bobo$136b2obobobobobobobobobobobobobobobobob2o44bo2b2o2bobobobo2b
2o2bo18bobob2ob2obobo24bobob2ob2obobo20b2obo5bo4bo5bob2o$137bobobobobo
bobobobobobobobobobobobobo44bo6b2obobob2o6bo12b3ob5o5b5ob3o14b3ob5o5b
5ob3o18bo4bo6bo4bo$136bo2bobobobobobobobobobobobobobobobo2bo44b6obo2bo
2bob6o13b3o4b2obobob2o4b3o14b3o4b2obobob2o4b3o17b2obo2b3o2b3o2bob2o$
139bobobobobobobobobobobobobobobobo50b3ob2o3b2ob3o16b2o8bobo8b2o14b2o
8bobo8b2o20bo3bob2obo3bo$133b2ob2obobobobobobobobobobobobobobobobob2ob
2o45b2obo5bob2o26b2ob2o32b2ob2o28b2obobo4bobob2o$139bobobobobobobobobo
bobobobobobobo51bo11bo99bob2o2b2obo$134bo2bobobobobobobobobobobobobobo
bobobobo2bo85b2ob2o32b2ob2o30b3o6b3o$134b2obobobobobobobobobobobobobob
obobobobob2o39bobo4b2o2b2ob2o2b2o4bobo18bo5bo30bo5bo$136b2obobobobobob
obobobobobobobobobobob2o41bo3b5o2bo3bo2b5o3bo13b2o13b2o20b2o13b2o$137b
obobobobobobobobobobobobobobobobobo43bo4b2o2bobobobo2b2o4bo17bobobobob
obo26bobobobobobo$53b2o9b2o71bobobobobobobobobobobobobobobobobobo43bob
obo4bobobobo4bobobo14bo6bobo6bo20bo6bobo6bo$54b3o5b3o70bobobobobobobob
obobobobobobobobobobobobo42b2o3b4obobob4o3b2o15bobo2bobobobo2bobo20bob
o2bobobobo2bobo$54b2obobobob2o68bobobobobobobobobobobobobobobobobobobo
bobobo40b2ob5o2bobo2b5ob2o16bobobo2bo2bobobo22bobobo2bo2bobobo$54b5ob
5o70bob3ob3ob3ob3ob3ob3ob3ob3ob3obo45b2o4b2ob2o4b2o19bo3b2o3b2o3bo22bo
3b2o3b2o3bo$57b2ob2o67b2obobo39bobob2o73bobobobo5bobobobo18bobobobo5bo
bobobo$31bobo25bo73bo41bo49b2ob2o22bob5o7b5obo16bob5o7b5obo$29bobobobo
93bo3bo2bo3bo3bo3bo3bo3bo3bo3bo3bo3bo2bo3bo44bo5bo22b2o2bo9bo2b2o18b2o
2bo9bo2b2o$29bobobobo22bobo24bobo42b4obo5bobo5bobo5bobo5bobo5bob4o40b
2o13b2o16b2o17b2o16b2o17b2o$30b2ob2o24bo26bo44b2o2bobobobobobobobobobo
bobobobobobobobobobo2b2o44bobobobobobo20bo6b2ob2o6bo18bo6b2ob2o6bo$29b
o5bo22b3o24b3o47b3ob3ob3ob3ob3ob3ob3ob3ob3ob3o45bo6bobo6bo16b3o2b2o7b
2o2b3o16b3o2b2o7b2o2b3o$136bo3bo3bo3bo3bo3bo3bo3bo3bo3bo46bobo2bobobob
o2bobo14bo2b4o4bobo4b4o2bo12bo2b4o4bobo4b4o2bo$27b3o5b3o18b3ob3o16b3ob
3ob3o130bobobo2bo2bobobo15bo2bob3obobobobob3obo2bo12bo2bob3obobobobob
3obo2bo$220bo3b2o3b2o3bo15bo2bobo3bobobobo3bobo2bo12bo2bobo3bobobobo3b
obo2bo$27b5ob5o16b5ob5o14b5ob5o128bobobobo5bobobobo14bobobo3bobobobo3b
obobo14bobobo3bobobobo3bobobo$28b3o3b3o18b3o3b3o16b3o3b3o128bob5o7b5ob
o14b2ob2o2bobobobo2b2ob2o16b2ob2o2bobobobo2b2ob2o17bo6bo6bo6bo$28b2obo
bob2o18b2obobob2o16b2obobob2o129b2o2bo9bo2b2o15b2ob2o2bobobobo2b2ob2o
16b2ob2o2bobobobo2b2ob2o16bo8bo4bo8bo$29bobobobo20bobobobo18bobobobo
129b2o17b2o18b2obobobobob2o24b2obobobobob2o20b3o4b2o6b2o4b3o$31bobo24b
obo22bobo132bo6b2ob2o6bo14bobo2b3ob2ob2ob3o2bobo14bobo2b3ob2ob2ob3o2bo
bo16bob4obo6bob4obo$27b3obobob3o16b3obobob3o14b3obobob3o127b3o2b2o7b2o
2b3o11bo3b2obob2o5b2obob2o3bo10bo3b2obob2o5b2obob2o3bo14bobob2obobo2bo
bob2obobo$31bobo24bobo22bobo129bo2b4o4bobo4b4o2bo9bo3bo4b2o5b2o4bo3bo
10bo3bo4b2o5b2o4bo3bo15bo3bobob4obobo3bo$25b5obobob5o12b5obobob5o10b5o
bobob5o123bo2bob3obobobobob3obo2bo11bobob2ob2o5b2ob2obobo14bobob2ob2o
5b2ob2obobo21bobo6bobo$26b3o2bobo2b3o14b3o2bobo2b3o12b3o2bobo2b3o124bo
2bobo3bobobobo3bobo2bo11bobobo13bobobo14bobobo13bobobo17bobobobo6bobob
obo$26b2obob3obob2o14b2obob3obob2o12b2obob3obob2o125bobobo3bobobobo3bo
bobo13b2obobo9bobob2o16b2obobo9bobob2o15bo4bob3obo2bob3obo4bo$27bobo5b
obo16bobo5bobo14bobo5bobo127b2ob2o2bobobobo2b2ob2o15bobobobobobobobobo
bo18bobobobobobobobobobo15bo5bo6b2o6bo5bo$29bo5bo20bo5bo18bo5bo129b2ob
2o2bobobobo2b2ob2o16b2obobobobobobob2o20b2obobobobobobob2o16b3o2b2o14b
2o2b3o$23b2obobo7bobob2o8b2obobo7bobob2o6b2obobo7bobob2o127b2obobobobo
b2o21b4ob2ob2ob4o22b4ob2ob2ob4o18bob2o18b2obo$27bo9bo16bo9bo14bo9bo
126bobo2b3ob2ob2ob3o2bobo18bo9bo26bo9bo20bobo20bobo$23bo3bo2bo3bo2bo3b
o8bo3bo2bo3bo2bo3bo6bo3bo2bo3bo2bo3bo120bo3b2obob2o5b2obob2o3bo85b2obo
5bo4bo5bob2o$24b4obo5bob4o10b4obo5bob4o8b4obo5bob4o121bo3bo4b2o5b2o4bo
3bo88bo4bo6bo4bo$25b2o2bobobobo2b2o12b2o2bobobobo2b2o10b2o2bobobobo2b
2o124bobob2ob2o5b2ob2obobo89b2obo2b3o2b3o2bob2o$29b3ob3o20b3ob3o18b3ob
3o128bobobo13bobobo92bo3bob2obo3bo$30bo3bo22bo3bo20bo3bo130b2obobo9bob
ob2o92b2obobo4bobob2o$218bobobobobobobobobobo96bob2o2b2obo$219b2obobob
obobobob2o96b3o6b3o$220b4ob2ob2ob4o$222bo9bo10$218bob2o$217bo5bo10bobo
16bobo9b2obo17bob2o51b2obo$213bo3bobobo3bo4bo3bo2bo2bobo4bobo2bo2bo3bo
3bo2b2obo2bo9bo2bob2o2b2o2bobobo31bobobo2b2o2b2obo2bo$213bobobobo2b5o
4bo2bob5o2bo2bo2b5obo2bo4b5obo3bo7bo3bob5o2bobo2bo31bo2bobo2b5obo3bo$
214b6o3bob5obobo3bob3o6b3obo3bobob5o2bobobobo7bobobobo2b2o5bobobobo2bo
bobobo2bobo2bobob2obobobobo5b2o2bobobobo$214b3o11b2ob2o8bobo2bobo8b2ob
2o5b2ob3o9b3ob2o4bobo2bobobo6bobo6bo2bo8bobobo2bobo4b2ob3o$231b2o11b2o
11b2o12bo11bo9bobobob3obo2bob3obo2bob4o8b3obobobo9bo$294b3o7b2o7b2o7b
6o6b3o$295bo28b2o9bo3$221bob2o9bobo16bobo9b2obo$64bob2obo147bo2bob2o2b
o3bo3bo2bo2bobo4bobo2bo2bo3bo3bo2b2obo2bo$63bo6bo145bo3bob5o4bo2bob5o
2bo2bo2b5obo2bo4b5obo3bo$32b3ob2ob3o82bobobo2bobobo80bobobobo2b5obobo
3bob3o6b3obo3bobob5o2bobobobo$32b4o2b4o20b2ob4ob2o54bobo2bobo48bo11bo
22b3ob2o5b2ob2o8bobo2bobo8b2ob2o5b2ob3o$31b2o8b2o19bo2b4o2bo51b4ob4ob
4o45bo11bo23bo12b2o11b2o11b2o12bo$32b2o6b2o20b10o24bo2bo62b2ob2o$2bobo
bo3bo3bo17b2o6b2o21bobo2bobo18b3o3bo4bo3b3o15bo14bo25b2o16b2ob2o5b2ob
2o$34b2o2b2o24b2o2b2o25bob2obo62b3o$2bo3bo3bo3bo74b5obo4bob5o14b2ob2o
8b2ob2o25bo17bo2bo5bo2bo$36b2o52b3o2b2o2b2o2b3o54bobobobo15b2obo5bob2o
$2bobobo3bobobo18bob4obo22bob4obo19b2obob2o2b2obob2o16bo2bo8bo2bo20bob
obobobobo15b2obobob2o29bob2o39b2obo$33bo6bo22b2ob2ob2o20bobo8bobo17b2o
bo8bob2o22bob3obo18bobobobo26bo2bob2o2b2o2bobobo19bobobo2b2o2b2obo2bo
26bo42bo$2bo11bo20b4o25b2o2b2o23b2o6b2o21b2ob2o2b2ob2o18b2obobo7bobob
2o12bob3obo25bo3bob5o2bobo2bo19bo2bobo2b5obo3bo11bobob2o7bo3bo36bo3bo
7b2obobo$33b2o4b2o22b2o4b2o21b2ob6ob2o21bo8bo23bo9bo14bobo5bobo23bobob
obo2b2o5bobobobo2bobobobo2bobobobo5b2o2bobobobo8bo2bo2bo4b2obo3bobo36b
obo3bob2o4bo2bo2bo$2bo11bo19bo4bo24bo4bo24b3o2b3o23bobo4bobo19bo3bo2bo
3bo2bo3bo12bo5bo26b3ob2o4bobo2bobobo6bobo6bobobo2bobo4b2ob3o8bobobobo
2b2o4bobo2b2obo32bob2o2bobo4b2o2bobobobo$34b6o23bo6bo20b3o3b2o3b3o18bo
bob2o2b2obobo18b4obo5bob4o7b2obobo7bobob2o21bo9bobobob3obo2bob3obo2bob
3obobobo9bo9bo3b3o2b2ob2obobo5bo32bo5bobob2ob2o2b3o3bo$28b3o5b2o5b3o
12b2o5b4o5b2o15b6o2b6o18bobo3b2o3bobo19b2o2bobobobo2b2o12bo9bo36b3o7b
2o7b2o7b3o21bobobo7b4o5b2obo28bob2o5b4o7bobobo$59b2obo8bob2o16bo2bobo
2bobo2bo19b2o8b2o24b3ob3o12bo3bo2bo3bo2bo3bo33bo27bo23bo12bo9bo28bo9bo
12bo$28bo4b8o4bo12b4o3b4o3b4o15b6o2b6o18bo12bo24bo3bo14b4obo5bob4o108b
2obo24bob2o$33bobo2bobo18bob3obo2bob3obo17b4o4b4o77b2o2bobobobo2b2o
112bo24bo$28b2obobob4obobob2o12b4obob4obob4o17bob6obo18b3o12b3o46b3ob
3o115b2obo20bob2o$31bobobo2bobobo18bobobo2bobobo21b2o4b2o84bo3bo119bo
20bo$28b2o3bob4obo3b2o12b2o3bob4obo3b2o19bo4bo20b5o8b5o170b2obo5bo4bo
5bob2o$29bobobobo2bobobobo14bobobobo2bobobobo20b6o21b3o10b3o92bob2o21b
2obo53bo4bo6bo4bo$29b2ob2ob4ob2ob2o14b2ob2ob4ob2ob2o14b3o5b2o5b3o15b2o
bo8bob2o91bo5b2o2b2obo3bob2o2b2o5bo51b2obo2b3o2b3o2bob2o$30bo4bo2bo4bo
16bo4bo2bo4bo49b3o8b3o88bo3bobobo5b3obobob3o5bobobo3bo50bo3bob2obo3bo$
29b3obo6bob3o14b3obo6bob3o14bo4b8o4bo18bob2o2b2obo90bobobobo2b4ob3obob
ob3ob4o2bobobobo49b2obobo4bobob2o$29b3obo6bob3o14b3obo6bob3o19bobo2bob
o23bob2o2b2obo91b6o3b4o2bobobobo2b4o3b6o53bob2o2b2obo$30bobobo4bobobo
16bobobo4bobobo15b2obobob4obobob2o18bob6obo91b3o8bobobobobobobobo8b3o
52b3o6b3o$29b2ob2o6b2ob2o14b2ob2o6b2ob2o17bobobo2bobobo19bobo2b4o2bobo
49bo3bo47b6ob6o$30bobo3b2o3bobo16bobo3b2o3bobo15b2o3bob4obo3b2o16b3o8b
3o45b2o9b2o43b3o7b3o$29b2ob4o2b4ob2o14b2ob4o2b4ob2o15bobobobo2bobobobo
18bo10bo25bobobobo14b2o3bobo3b2o$30bobo2bo2bo2bobo16bobo2bo2bo2bobo16b
2ob2ob4ob2ob2o17bo12bo26bobo14b3ob4ob4ob3o$29b2o3b2o2b2o3b2o14b2o3b2o
2b2o3b2o16bo4bo2bo4bo17bo14bo17bob2obo2bobo2bob2obo7b2obo2bobo2bob2o$
30bobo8bobo16bobo8bobo16b3obo6bob3o52b4obobob4o10bo4bo3bo4bo$29b2obo8b
ob2o14b2obo8bob2o15b3obo6bob3o15b2ob2o8b2ob2o16b2ob6ob6ob2o8b2o2bo3bo
2b2o$30bobo8bobo16bobo8bobo17bobobo4bobobo51bob2o9b2obo10b3o5b3o$29b2o
bo2bo2bo2bob2o14b2obo2bo2bo2bob2o15b2ob2o6b2ob2o16bo2bo8bo2bo17bobo13b
obo11bo5bo$30bobobo4bobobo16bobobo4bobobo17bobo3b2o3bobo17b2obo8bob2o
17b2o15b2o11bobobobo$29b2obobob2obobob2o14b2obobob2obobob2o15b2ob4o2b
4ob2o19bob2o2b2obo21bo15bo10bobobobobobo$30bobobo4bobobo16bobobo4bobob
o17bobo2bo2bo2bobo19b2o8b2o19b2o5bo3bo5b2o11bob3obo$29b2obob2o2b2obob
2o14b2obob2o2b2obob2o15b2o3b2o2b2o3b2o19bobo4bobo21bobo3bo3bo3bobo6b2o
bobo7bobob2o$30bobobo4bobobo16bobobo4bobobo17bobo8bobo18bobob2o2b2obob
o18b2ob4o5b4ob2o9bo9bo$29b2ob2o6b2ob2o14b2ob2o6b2ob2o15b2obo8bob2o17bo
bo3b2o3bobo19bobo2bo5bo2bobo6bo3bo2bo3bo2bo3bo$30bobo8bobo16bobo8bobo
17bobo8bobo19b2o8b2o20bob2obobobobob2obo7b4obo5bob4o$29b2ob4o2b4ob2o
14b2ob4o2b4ob2o15b2obo2bo2bo2bob2o17bo12bo20b5ob3ob5o9b2o2bobobobo2b2o
$30bo3bo4bo3bo16bo3bo4bo3bo17bobobo4bobobo53b3o3bo3b3o14b3ob3o33bob2o
26b2o72b2o26b2obo$29b2obob2o2b2obob2o14b2obob2o2b2obob2o15b2obobob2obo
bob2o15b3o12b3o47bo3bo30bo2bob2o2b2o2bobobo23bo6bo46bo6bo23bobobo2b2o
2b2obo2bo$30bo3b2o2b2o3bo16bo3b2o2b2o3bo17bobobo4bobobo115bo3bob5o2bob
o2bo12bobobo5bo8bo44bo8bo5bobobo12bo2bobo2b5obo3bo$30bo4bo2bo4bo16bo4b
o2bo4bo16b2obob2o2b2obob2o15b5o8b5o81bobobobo2b2o5bobobobo2bobo4bo8b3o
4b3o44b3o4b3o8bo4bobo2bobobobo5b2o2bobobobo$31b2ob2o2b2ob2o18b2ob2o2b
2ob2o18bobobo4bobobo17b3o10b3o83b3ob2o4bobo2bobobo6bo2bobobobo5bob4obo
46bob4obo5bobobobo2bo6bobobo2bobo4b2ob3o$33bo6bo22bo6bo19b2ob2o6b2ob2o
16b2obo8bob2o84bo9bobobob3obo2bob6obobobobobob2obobo46bobob2obobobobob
ob6obo2bob3obobobo9bo$91bobo8bobo18bobo8bobo96b3o7b2o6b2o2b2obobob2o3b
2o48b2o3b2obobob2o2b2o6b2o7b3o$90b2ob4o2b4ob2o18b2ob2o2b2ob2o98bo22b3o
2b2o3bo50bo3b2o2b3o22bo$91bo3bo4bo3bo20bob2o2b2obo134bo46bo$90b2obob2o
2b2obob2o19bob6obo136bobobobo2bobobobo2bobo2bobo2bobobobo2bobobobo$91b
o3b2o2b2o3bo18bobo2b4o2bobo129bobobo2bobo6bobo6bo2bo6bobo6bobo2bobobo$
91bo4bo2bo4bo18b3o8b3o131bo2bob3obo2bob3obo2bob4obo2bob3obo2bob3obo2bo
$92b2ob2o2b2ob2o20bo10bo129bo5bo6b2o7b2o8b2o7b2o6bo5bo$33bobo4bobo21bo
6bo22bo6bo21bo12bo128b3o2b2o42b2o2b3o$34bo6bo22bo6bo50bo14bo128bob2o
46b2obo$32bobobo2bobobo18bobobo2bobobo192bobo48bobo$31bob4o2b4obo16bob
4o2b4obo46b2ob2o8b2ob2o128b2obo44bob2o$32b2o2b4o2b2o18b2o2b4o2b2o196bo
44bo$31b2o10b2o16b2o10b2o47bo2bo8bo2bo131b2obo40bob2o$122b2obo8bob2o
134bo40bo$36bo2bo26bo2bo54b2ob2o2b2ob2o135b2obo36bob2o$29b3o3bo4bo3b3o
12b3o3bo4bo3b3o48bo8bo139bo36bo$35bob2obo24bob2obo54bobo4bobo138b2obo
32bob2o$29b5obo4bob5o12b5obo4bob5o46bobob2o2b2obobo139bo32bo$30b3o2b2o
2b2o2b3o14b3o2b2o2b2o2b3o47bobo3b2o3bobo138b2obo28bob2o$30b2obob2o2b2o
bob2o14b2obob2o2b2obob2o17bo3bo26b2o8b2o142bo28bo$31bobo8bobo16bobo8bo
bo18bo3bo25bo12bo140b2obo24bob2o$33b2o6b2o20b2o6b2o207bo24bo$32b2ob6ob
2o18b2ob6ob2o16b2ob2ob2ob2o12b3ob3ob3o12b3ob3ob3o132b2obo20bob2o$34b3o
2b3o22b3o2b3o210bo20bo$31b3o3b2o3b3o16b3o3b2o3b3o16bo2bobo2bo13b5ob5o
12b5ob5o134b2obo5bo4bo5bob2o$31b6o2b6o16b6o2b6o16b2obobob2o14b3o3b3o
14b3o3b3o138bo4bo6bo4bo$31bo2bobo2bobo2bo16bo2bobo2bobo2bo19bob2o16b2o
bobob2o14b2obobob2o137b2obo2b3o2b3o2bob2o$31b6o2b6o16b6o2b6o18b2obo18b
obobobo16bobobobo141bo3bob2obo3bo$32b4o4b4o18b4o4b4o20bobo2bo17bobo20b
obo142b2obobo4bobob2o$33bob6obo20bob6obo19bobobobo14b3obobob3o12b3obob
ob3o141bob2o2b2obo$34b2o4b2o22b2o4b2o18b3obobo3bo16bobo20bobo144b3o6b
3o$35bo4bo24bo4bo19b2o2bobob2o11b5obobob5o8b5obobob5o$35b6o24b6o20bo3b
o3b2o11b3o2bobo2b3o10b3o2bobo2b3o$29b3o5b2o5b3o12b3o5b2o5b3o13b2o3bo3b
o12b2obob3obob2o10b2obob3obob2o$91bobobobob2o12bobo5bobo12bobo5bobo$
29bo4b8o4bo12bo4b8o4bo13b2obob3obo15bo5bo16bo5bo$34bobo2bobo22bobo2bob
o19bob2o2bob2o8b2obobo7bobob2o4b2obobo7bobob2o$29b2obobob4obobob2o12b
2obobob4obobob2o14bobo2b2obo13bo9bo12bo9bo$32bobobo2bobobo18bobobo2bob
obo18b2o3bob2o8bo3bo2bo3bo2bo3bo4bo3bo2bo3bo2bo3bo$29b2o3bob4obo3b2o
12b2o3bob4obo3b2o15b2obobobo10b4obo5bob4o6b4obo5bob4o$30bobobobo2bobob
obo14bobobobo2bobobobo17bobobob2o10b2o2bobobobo2b2o8b2o2bobobobo2b2o$
30b2ob2ob4ob2ob2o14b2ob2ob4ob2ob2o18b2obobo15b3ob3o16b3ob3o$31bo4bo2bo
4bo16bo4bo2bo4bo20bobob2o15bo3bo18bo3bo$30b3obo6bob3o14b3obo6bob3o21bo
bo$30b3obo6bob3o14b3obo6bob3o17b3obob2o154bo$31bobobo4bobobo16bobobo4b
obobo22bobo141bobob2o7bo3bo$30b2ob2o6b2ob2o14b2ob2o6b2ob2o15b5obob2o
137bo2bo2bo4b2obo3bobo62bo$31bobo3b2o3bobo16bobo3b2o3bobo17b3o2bobo
137bobobobo2b2o4bobo2b2obo57bo3bo7b2obobo$30b2ob4o2b4ob2o14b2ob4o2b4ob
2o16b2obobob2o136bo3b3o2b2ob2obobo5bo57bobo3bob2o4bo2bo2bo$31bobo2bo2b
o2bobo16bobo2bo2bo2bobo18bobobobo138bobobo7b4o5b2obo53bob2o2bobo4b2o2b
obobobo$30b2o3b2o2b2o3b2o14b2o3b2o2b2o3b2o19bobob2o138bo12bo9bo53bo5bo
bob2ob2o2b3o3bo$31bobo8bobo16bobo8bobo16b3obobobo161b2obo49bob2o5b4o7b
obobo$30b2obo8bob2o14b2obo8bob2o19bobob2o163bo49bo9bo12bo$31bobo8bobo
16bobo8bobo14b5obobobo163b2obo45bob2o$30b2obo2bo2bo2bob2o14b2obo2bo2bo
2bob2o14b3o2bobobo166bo45bo$31bobobo4bobobo16bobobo4bobobo15b2obobob2o
166b2obo41bob2o$30b2obobob2obobob2o14b2obobob2obobob2o15bobobob2o169bo
41bo$31bobobo4bobobo16bobobo4bobobo18bobobo169b2obo37bob2o$30b2obob2o
2b2obob2o14b2obob2o2b2obob2o14bo2bob2o173bo37bo$31bobobo4bobobo16bobob
o4bobobo15bo2b3o173b2obo33bob2o$30b2ob2o6b2ob2o14b2ob2o6b2ob2o15bo2bo
177bo33bo$31bobo8bobo16bobo8bobo16b4o176b2obo3bob2obo11bob2obo3bob2o$
30b2ob4o2b4ob2o14b2ob4o2b4ob2o16b2o180bo4b4obobobobobobob4o4bo$31bo3bo
4bo3bo16bo3bo4bo3bo198b3ob2o2b2ob5ob5ob2o2b2ob3o$30b2obob2o2b2obob2o
14b2obob2o2b2obob2o201b3o4b2o7b2o4b3o$31bo3b2o2b2o3bo16bo3b2o2b2o3bo$
31bo4bo2bo4bo16bo4bo2bo4bo$32b2ob2o2b2ob2o18b2ob2o2b2ob2o$34bo6bo22bo
6bo!

I have done a few searches for spaceships of other velocities in this rule but have had no luck. I have searched for period-4 c/4 orthogonal spaceships up to a height of 11 and a width of 12 (also, bilaterally symmetric at widths of 23 and 24). I have also searched for period-5 c/5 orthogonal spaceships up to a height of 8 and a width of 9 (also, bilaterally symmetric at widths of 17 and 18).

[Awesomeness]

Look at what this puffer creates behind it; if there is a clean way to end the back you'd have a very interesting spaceship. By the way, if you watch for a decent amount of time you can see other patterns the spaceship spawns.

[Lewis]

I've started some new searhes in this rule. so far I've found a new P5, a p9, 2 p11s and the first P64 oscillator which doesn't rely on a signal/track:

Code: Select all

x = 96, y = 22, rule = 234/3
79b2o4bobo2b2o$20bobo17bo38b2o4b3o2b2o$20b3o17b3o19b2o12bo6b2o
7b2o$6b2o17bob2o13bo19b2o12b8ob8o$6bo11b9obo14b2ob2o26b2obo6b
2o6bo$4bobo11bo7bobob2o5b2ob3obobobo9bob6ob2o5b2obob5o2b5obob
2o$4b3obo10b2o4bo2bobo5bobobobobo2b2o9b3o4bobo9bobobob3o4bobo
b2o$2b2o14b2ob2o2bo2bob2o4b2o2bo3bo16b2o2bob2o8bobo2bo6b2obo$
3bob2o3bo8bo8bo11bo3b5o2b2o5b3o5bobo5b2obobo8bobobo$4obo7bo5b
o8bo7b6o2bo3bo2bo6bo4bo2bobob2o3bobobo5bo3b2ob2o$o7bob4o2b2ob
o2bo2b2ob2o6bo10b2ob2o3b2obo3bobo3bob2o2b2ob2obo2bo5bobobo$3b
o3b2obo6bobo2bo4b2o5b2ob2o10bo5b2obobo2bo4bo7bobobo5bo2bob2ob
2o$10b2o4b2obobo7bo4bo2bo3bo2b6o8bobo5b3o7b2ob2o3bo5bobobo$5b
ob3o9bob9o3b2o2b5o3bo12b2obo2b2o11bobobo8bobob2o$7bobo9b2obo18b
o3bo2b2o9bobo4b3o8bob2o6bo2bobo$7bo17b3o9b2o2bobobobobo8b2ob6o
bo5b2obobo4b3obobobo$6b2o17bobo9bobobob3ob2o25b2obob5o2b5obob
2o$38b2ob2o20b2o12bo6b2o6bob2o$43bo19b2o12b8ob8o$43b3o30b2o7b
2o6bo$45bo32b2o2b3o4b2o$78b2o2bobo4b2o!

Some of these (especially the P64) can probably be stabilised further.

EDIT: First P103 oscillator found, and a new highest period known:

Code: Select all

x = 17, y = 19, rule = B3/S234
6b2ob2o$6bo3bo$3bo3b3o3bo$3b4o3b4o$7b3o$3b3obobob3o$3bobobo3bobo$2obo
3bo3bobob2o$2ob2o2bo2b2obobo$3bo2b3ob2obobo$3b2o2bo2b2obob2o$2obo7bobo
$2obobobobobobo$3bob5obobob2o$3bo7bobo2bo$4b8o2bo$3b2o7b2o$7b4obo$7bob
ob2o!

Minimum Population is 109 cells (I think).

[Sokwe]

It seems the oscillator labeled p9 is actually p7. Here are reductions of the p7, p11, p64 and p103 oscillators (probably sub-optimal):

Code: Select all

x = 93, y = 37, rule = B3/S234
57bo$57b3o$6bobo44bob2o3bo$6b2obo41b5ob6o16bo2b2o3b2o$9bo17bob2ob2o16b
o5b2o5bo15b4o4bo$4b6obo15b2obobo16bob5o2b5obo18b3obo$3bo6bobo15bo3bo2b
2o12bobo4b3obobobo14b3obobob2o$4bo4bo2bo12bo2bo3b4o12b2ob2o6bo2bob2o
13bobo5bobo$b3ob2o2bo2bob2o9b5o2bo3bo10bobobobo8bobo11b2obo7bobo$o2bo
8bobo20b2o10bobob2o3bo5bob2o10b2ob2o5b2obob2o$bobo8bo2bo9b2o19b2ob2obo
5bo2bobobo13b2o5b2obob2o$2obo2bo2b2ob3o10bo3bo2b5o11bobobo2bo5bob2ob2o
11bo7bobo$3bo2bo4bo14b4o3bo2bo11b2obo5bo3b2obobo11b2o7bobo$3bobo6bo12b
2o2bo3bo15bobo8bobobobo12bobobobobob2o$4bob6o17bobob2o13b2obo2bo6b2ob
2o12b2ob5obo$6bo21b2ob2obo14bobobob3o4bobo22bo$6bob2o39bob5o2b5obo18b
4o$7bobo40bo5b2o5bo19bo2bobo$51b6ob5o24b2o$53bo3b2obo$54b3o$56bo$26b2o
$26bo2bo$27b5o$26b2o4bobob2o$28b2o2bob2obo$26b2o5bobo$25bo4bo2bob2o$
25bo3bobo3bo$24b2obo2bo4bo$25bobo5b2o$23bob2obo2b2o$23b2obobo4b2o$29b
5o$31bo2bo$33b2o!

[Lewis]

New high-period oscillators, including two new periods (67 and 82):

Code: Select all

x = 85, y = 47, rule = 234/3
4bob2o6b2obo$4b2obo6bob2o15bob2o4bob2o18bob2o6b2obo$2b2o8b2o4b
2o13b2obo4b2obo18b2obo6bob2o$3bo8bo5bo12b2o12b2o14b2o4b2o8b2o
$2bo10bo5bo12bo13bo15bo5bo8bo$2b2o8b2o4b2o11bo13bo15bo5bo10bo
$4bob2o6b2obo13b2o12b2o14b2o4b2o8b2o$4b2obo6bob2o15bob2o6b2o18b
ob2o6b2obo$8b2o8b2o13b2obo7bo18b2obo6bob2o$9bo8bo12b2o4b2o4bo
17b2o4b2o2b2o$8bo10bo12bo5bo4b2o17bo5bo2bo$8b2o8b2o11bo5bo3b2o
18bo5bo4bo$4bob2o6b2obo13b2o4b2o3bo18b2o4b2o2b2o$4b2obo6bob2o
15bob2o4bo21bob2o6b2obo$33b2obo4b2o20b2obo6bob2o2$10b2o$9bo2b
o54bob2obo$9bo2bo52b3ob2ob3o$7b2ob2ob2o19bo5bo22b3o8b3o$8bo4b
o19bobo3bobo18bobo4b6o4bobo$6bo3b2o3bo17bobo3bobo18b2ob3obob2o
bob3ob2o$6b4o2b4o16b2ob2ob2ob2o15b2obo3bobo4bobo3bob2o$4b2o3b
4o3b2o13bo2bobobobo2bo15b2obo2bobob2obobo2bob2o$bobo2b2o6b2o2b
obo9bob3obobob3obo13bo2bo3bobo4bobo3bo2bo$b2obobo8bobob2o9bob
ob3ob3obobo12bobo7bo4bo7bobo$4bob2o6b2obo9b2obob3obobob3obob2o
9bobo7bo4bo7bobo$4bo12bo10bobo4b2ob2o4bobo9b2ob4o3bo6bo3b4ob2o
$2bob3o8b3obo7b2obob3obobob3obob2o8bo8bob6obo8bo$bobo6b2o6bob
o9bo3bobobobo3bo10b2ob7obo6bob7ob2o$bob16obo9b2ob4ob4ob2o13bo
7bo6bo7bo$2o18b2o33b2ob2obo4bo6bo4bob2ob2o$bob16obo9b2ob4ob4o
b2o10b2ob2obo4bo6bo4bob2ob2o$bobo6b2o6bobo9bo3bobobobo3bo13bo
7bo6bo7bo$2bob3o8b3obo7b2obob3obobob3obob2o7b2ob7obo6bob7ob2o
$4bo12bo10bobo4b2ob2o4bobo9bo8bob6obo8bo$4bob2o6b2obo9b2obob3o
bobob3obob2o8b2ob4o3bo6bo3b4ob2o$b2obobo8bobob2o9bobob3ob3obo
bo12bobo7bo4bo7bobo$bobo2b2o6b2o2bobo9bob3obobob3obo12bobo7bo
4bo7bobo$4b2o3b4o3b2o13bo2bobobobo2bo14bo2bo3bobo4bobo3bo2bo$
6b4o2b4o16b2ob2ob2ob2o16b2obo2bobob2obobo2bob2o$6bo3b2o3bo17b
obo3bobo16b2obo3bobo4bobo3bob2o$8bo4bo19bobo3bobo18b2ob3obob2o
bob3ob2o$7b2ob2ob2o19bo5bo19bobo4b6o4bobo$9bo2bo50b3o8b3o$9bo
2bo52b3ob2ob3o$10b2o55bob2obo!

EDIT: A new P22:

Code: Select all

x = 29, y = 12, rule = 234/3
4b2ob2o11b2ob2o$5bobobob2o3b2obobobo$5bobobobo5bobobobo$2b2ob
2ob2ob2o3b2ob2ob2ob2o$o2bo7bo5bo7bo2bo$2obo7b2o3b2o7bob2o$3bo
7b2o3b2o7bo$3bo7bo5bo7bo$2b2ob2ob2ob2o3b2ob2ob2ob2o$5bobobobo
5bobobobo$5bobobob2o3b2obobobo$4b2ob2o11b2ob2o!

EDIT 2: A new P64:

Code: Select all

x = 32, y = 20, rule = 234/3
15b2o$5bo7b6o7bo$5b3o4bo6bo4b3o$8bobo2b6o2bobo$3b6ob2obo4bob2o
b6o$2bo6bobob6obobo6bo$3b2ob2obo3bo4bo3bob2ob2obo$5b2o2bo4bo2b
o4bo2b2o3bo$3b2o2bob2obobo2bobob2obo2b2ob2o$3bob2o3b2o8b2o3b2o
bob2o$2obob2o3b2o8b2o3b2obo$2ob2o2bob2obobo2bobob2obo2b2o$bo3b
2o2bo4bo2bo4bo2b2o$bob2ob2obo3bo4bo3bob2ob2o$2bo6bobob6obobo6b
o$3b6ob2obo4bob2ob6o$8bobo2b6o2bobo$5b3o4bo6bo4b3o$5bo7b6o7bo
$15b2o!

EDIT 3: two P53s and a small P79:

Code: Select all

x = 69, y = 77, rule = 234/3
13bob2o4bob2o25bob2o6bob2o$13b2obo4b2obo25b2obo6b2obo$11b2o12b
2o27b2o2b2o4b2o$12bo13bo28bo3bo5bo$11bo13bo28bo3bo5bo$11b2o12b
2o27b2o2b2o4b2o$13bob2o4bob2o27b2o6bob2o$13b2obo4b2obo28bo6b2o
bo$17b2o6b2o25bo11b2o$18bo7bo25b2o11bo$17bo7bo24b2o12bo$17b2o
6b2o24bo12b2o$13bob2o4bob2o25bo9bob2o$13b2obo4b2obo25b2o8b2ob
o6$15b2o$15bo3bo2bo33b2ob2o$16bo2b6o31bo3bo$13b3o9bo22b2ob2ob
obo3bobob2ob2o$13bo2b7o2bo23bobob2ob2ob2ob2obobo$14bo8bob2o22b
obobobobobobobobobo$13b4o3bo2bobo22b2obo13bob2o$12bo8bobobo23b
obo13bobo$12b6o5bob2o22bob2o11b2obo$18bo4bo24b2ob2o11b2ob2o$12b
3ob2obo3bo27bo13bo$12bobob2obobobobobo23bobo9bobo$14bo4bobo2b
ob2o24b2obobobobob2o$14b4obob2obo29bob2ob2obo$17bobobob2o29bo
2bobo2bo$16b2ob2o34b2o3b2o5$15b2ob2ob2o$12bo3bob2obo3bo$12b5o
4b5o$18b2o$10b18o$9bo18bo$8bob7o4b7obo$8b2o7bo2bo7b2o$6b2o2b2o
14b2o2b2o$5bobo2bo6bo2bo6bo2bobo$4bobob2ob6o4b6ob2obobo$4bobo
bobo16bobobobo$b2obobo3bo2b12o2bo3bobob2o$2bobobo3bobo12bobo3b
obobo$2bobobo3bobo2b3o2b3o2bobo3bobobo$obobobo3bobobo2bo2bo2b
obobo3bobobobo$3obobo3bobobo8bobobo3bobob3o$4bo2bobo2bob2o6b2o
bo2bobo2bo$2ob2o7bo12bo7b2ob2o$2ob2o7bo12bo7b2ob2o$4bo2bobo2b
ob2o6b2obo2bobo2bo$3obobo3bobobo8bobobo3bobob3o$obobobo3bobob
o2bo2bo2bobobo3bobobobo$2bobobo3bobo2b3o2b3o2bobo3bobobo$2bob
obo3bobo12bobo3bobobo$b2obobo3bo2b12o2bo3bobob2o$4bobobobo16b
obobobo$4bobob2ob6o4b6ob2obobo$5bobo2bo6bo2bo6bo2bobo$6b2o2b2o
14b2o2b2o$8b2o7bo2bo7b2o$8bob7o4b7obo$9bo18bo$10b18o$18b2o$12b
5o4b5o$12bo3bob2obo3bo$15b2ob2ob2o!

Also, there have been several agars turned up in results which I haven't been able to stabilise, such as the one below. They all have an outer rectangular ring of cells which have gaps larger than 3 cells in them, and cannot be stabilised using normal induction coils. Is there any way of stabilising them?

Code: Select all

x = 137, y = 132, rule = 234/3
o4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo
4bo10bo4bo$o4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4b
o10bo4bobo4bo10bo4bo$obobo12bobobobobobo12bobobobobobo12bobob
obobobo12bobobobobobo12bobobobobobo12bobobo$obo16bobobobo16bo
bobobo16bobobobo16bobobobo16bobobobo16bobo$ob2o14b2obobob2o14b
2obobob2o14b2obobob2o14b2obobob2o14b2obobob2o14b2obo$2o18b2ob
2o18b2ob2o18b2ob2o18b2ob2o18b2ob2o18b2o2$2o18b2ob2o18b2ob2o18b
2ob2o18b2ob2o18b2ob2o18b2o$ob2o14b2obobob2o14b2obobob2o14b2ob
obob2o14b2obobob2o14b2obobob2o14b2obo$obo16bobobobo16bobobobo
16bobobobo16bobobobo16bobobobo16bobo$obobo12bobobobobobo12bob
obobobobo12bobobobobobo12bobobobobobo12bobobobobobo12bobobo$o
4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4b
o10bo4bo$o4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo
10bo4bobo4bo10bo4bo$obobo12bobobobobobo12bobobobobobo12bobobo
bobobo12bobobobobobo12bobobobobobo12bobobo$obo16bobobobo16bob
obobo16bobobobo16bobobobo16bobobobo16bobo$ob2o14b2obobob2o14b
2obobob2o14b2obobob2o14b2obobob2o14b2obobob2o14b2obo$2o18b2ob
2o18b2ob2o18b2ob2o18b2ob2o18b2ob2o18b2o2$2o18b2ob2o18b2ob2o18b
2ob2o18b2ob2o18b2ob2o18b2o$ob2o14b2obobob2o14b2obobob2o14b2ob
obob2o14b2obobob2o14b2obobob2o14b2obo$obo16bobobobo16bobobobo
16bobobobo16bobobobo16bobobobo16bobo$obobo12bobobobobobo12bob
obobobobo12bobobobobobo12bobobobobobo12bobobobobobo12bobobo$o
4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4b
o10bo4bo$o4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo
10bo4bobo4bo10bo4bo$obobo12bobobobobobo12bobobobobobo12bobobo
bobobo12bobobobobobo12bobobobobobo12bobobo$obo16bobobobo16bob
obobo16bobobobo16bobobobo16bobobobo16bobo$ob2o14b2obobob2o14b
2obobob2o14b2obobob2o14b2obobob2o14b2obobob2o14b2obo$2o18b2ob
2o18b2ob2o18b2ob2o18b2ob2o18b2ob2o18b2o2$2o18b2ob2o18b2ob2o18b
2ob2o18b2ob2o18b2ob2o18b2o$ob2o14b2obobob2o14b2obobob2o14b2ob
obob2o14b2obobob2o14b2obobob2o14b2obo$obo16bobobobo16bobobobo
16bobobobo16bobobobo16bobobobo16bobo$obobo12bobobobobobo12bob
obobobobo12bobobobobobo12bobobobobobo12bobobobobobo12bobobo$o
4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4b
o10bo4bo$o4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo
10bo4bobo4bo10bo4bo$obobo12bobobobobobo12bobobobobobo12bobobo
bobobo12bobobobobobo12bobobobobobo12bobobo$obo16bobobobo16bob
obobo16bobobobo16bobobobo16bobobobo16bobo$ob2o14b2obobob2o14b
2obobob2o14b2obobob2o14b2obobob2o14b2obobob2o14b2obo$2o18b2ob
2o18b2ob2o18b2ob2o18b2ob2o18b2ob2o18b2o2$2o18b2ob2o18b2ob2o18b
2ob2o18b2ob2o18b2ob2o18b2o$ob2o14b2obobob2o14b2obobob2o14b2ob
obob2o14b2obobob2o14b2obobob2o14b2obo$obo16bobobobo16bobobobo
16bobobobo16bobobobo16bobobobo16bobo$obobo12bobobobobobo12bob
obobobobo12bobobobobobo12bobobobobobo12bobobobobobo12bobobo$o
4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4b
o10bo4bo$o4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo
10bo4bobo4bo10bo4bo$obobo12bobobobobobo12bobobobobobo12bobobo
bobobo12bobobobobobo12bobobobobobo12bobobo$obo16bobobobo16bob
obobo16bobobobo16bobobobo16bobobobo16bobo$ob2o14b2obobob2o14b
2obobob2o14b2obobob2o14b2obobob2o14b2obobob2o14b2obo$2o18b2ob
2o18b2ob2o18b2ob2o18b2ob2o18b2ob2o18b2o2$2o18b2ob2o18b2ob2o18b
2ob2o18b2ob2o18b2ob2o18b2o$ob2o14b2obobob2o14b2obobob2o14b2ob
obob2o14b2obobob2o14b2obobob2o14b2obo$obo16bobobobo16bobobobo
16bobobobo16bobobobo16bobobobo16bobo$obobo12bobobobobobo12bob
obobobobo12bobobobobobo12bobobobobobo12bobobobobobo12bobobo$o
4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4b
o10bo4bo$o4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo
10bo4bobo4bo10bo4bo$obobo12bobobobobobo12bobobobobobo12bobobo
bobobo12bobobobobobo12bobobobobobo12bobobo$obo16bobobobo16bob
obobo16bobobobo16bobobobo16bobobobo16bobo$ob2o14b2obobob2o14b
2obobob2o14b2obobob2o14b2obobob2o14b2obobob2o14b2obo$2o18b2ob
2o18b2ob2o18b2ob2o18b2ob2o18b2ob2o18b2o2$2o18b2ob2o18b2ob2o18b
2ob2o18b2ob2o18b2ob2o18b2o$ob2o14b2obobob2o14b2obobob2o14b2ob
obob2o14b2obobob2o14b2obobob2o14b2obo$obo16bobobobo16bobobobo
16bobobobo16bobobobo16bobobobo16bobo$obobo12bobobobobobo12bob
obobobobo12bobobobobobo12bobobobobobo12bobobobobobo12bobobo$o
4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4b
o10bo4bo$o4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo
10bo4bobo4bo10bo4bo$obobo12bobobobobobo12bobobobobobo12bobobo
bobobo12bobobobobobo12bobobobobobo12bobobo$obo16bobobobo16bob
obobo16bobobobo16bobobobo16bobobobo16bobo$ob2o14b2obobob2o14b
2obobob2o14b2obobob2o14b2obobob2o14b2obobob2o14b2obo$2o18b2ob
2o18b2ob2o18b2ob2o18b2ob2o18b2ob2o18b2o2$2o18b2ob2o18b2ob2o18b
2ob2o18b2ob2o18b2ob2o18b2o$ob2o14b2obobob2o14b2obobob2o14b2ob
obob2o14b2obobob2o14b2obobob2o14b2obo$obo16bobobobo16bobobobo
16bobobobo16bobobobo16bobobobo16bobo$obobo12bobobobobobo12bob
obobobobo12bobobobobobo12bobobobobobo12bobobobobobo12bobobo$o
4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4b
o10bo4bo$o4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo
10bo4bobo4bo10bo4bo$obobo12bobobobobobo12bobobobobobo12bobobo
bobobo12bobobobobobo12bobobobobobo12bobobo$obo16bobobobo16bob
obobo16bobobobo16bobobobo16bobobobo16bobo$ob2o14b2obobob2o14b
2obobob2o14b2obobob2o14b2obobob2o14b2obobob2o14b2obo$2o18b2ob
2o18b2ob2o18b2ob2o18b2ob2o18b2ob2o18b2o2$2o18b2ob2o18b2ob2o18b
2ob2o18b2ob2o18b2ob2o18b2o$ob2o14b2obobob2o14b2obobob2o14b2ob
obob2o14b2obobob2o14b2obobob2o14b2obo$obo16bobobobo16bobobobo
16bobobobo16bobobobo16bobobobo16bobo$obobo12bobobobobobo12bob
obobobobo12bobobobobobo12bobobobobobo12bobobobobobo12bobobo$o
4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4b
o10bo4bo$o4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo
10bo4bobo4bo10bo4bo$obobo12bobobobobobo12bobobobobobo12bobobo
bobobo12bobobobobobo12bobobobobobo12bobobo$obo16bobobobo16bob
obobo16bobobobo16bobobobo16bobobobo16bobo$ob2o14b2obobob2o14b
2obobob2o14b2obobob2o14b2obobob2o14b2obobob2o14b2obo$2o18b2ob
2o18b2ob2o18b2ob2o18b2ob2o18b2ob2o18b2o2$2o18b2ob2o18b2ob2o18b
2ob2o18b2ob2o18b2ob2o18b2o$ob2o14b2obobob2o14b2obobob2o14b2ob
obob2o14b2obobob2o14b2obobob2o14b2obo$obo16bobobobo16bobobobo
16bobobobo16bobobobo16bobobobo16bobo$obobo12bobobobobobo12bob
obobobobo12bobobobobobo12bobobobobobo12bobobobobobo12bobobo$o
4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4b
o10bo4bo$o4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo
10bo4bobo4bo10bo4bo$obobo12bobobobobobo12bobobobobobo12bobobo
bobobo12bobobobobobo12bobobobobobo12bobobo$obo16bobobobo16bob
obobo16bobobobo16bobobobo16bobobobo16bobo$ob2o14b2obobob2o14b
2obobob2o14b2obobob2o14b2obobob2o14b2obobob2o14b2obo$2o18b2ob
2o18b2ob2o18b2ob2o18b2ob2o18b2ob2o18b2o2$2o18b2ob2o18b2ob2o18b
2ob2o18b2ob2o18b2ob2o18b2o$ob2o14b2obobob2o14b2obobob2o14b2ob
obob2o14b2obobob2o14b2obobob2o14b2obo$obo16bobobobo16bobobobo
16bobobobo16bobobobo16bobobobo16bobo$obobo12bobobobobobo12bob
obobobobo12bobobobobobo12bobobobobobo12bobobobobobo12bobobo$o
4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4b
o10bo4bo$o4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo
10bo4bobo4bo10bo4bo$obobo12bobobobobobo12bobobobobobo12bobobo
bobobo12bobobobobobo12bobobobobobo12bobobo$obo16bobobobo16bob
obobo16bobobobo16bobobobo16bobobobo16bobo$ob2o14b2obobob2o14b
2obobob2o14b2obobob2o14b2obobob2o14b2obobob2o14b2obo$2o18b2ob
2o18b2ob2o18b2ob2o18b2ob2o18b2ob2o18b2o2$2o18b2ob2o18b2ob2o18b
2ob2o18b2ob2o18b2ob2o18b2o$ob2o14b2obobob2o14b2obobob2o14b2ob
obob2o14b2obobob2o14b2obobob2o14b2obo$obo16bobobobo16bobobobo
16bobobobo16bobobobo16bobobobo16bobo$obobo12bobobobobobo12bob
obobobobo12bobobobobobo12bobobobobobo12bobobobobobo12bobobo$o
4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4b
o10bo4bo$o4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo10bo4bobo4bo
10bo4bobo4bo10bo4bo$obobo12bobobobobobo12bobobobobobo12bobobo
bobobo12bobobobobobo12bobobobobobo12bobobo$obo16bobobobo16bob
obobo16bobobobo16bobobobo16bobobobo16bobo$ob2o14b2obobob2o14b
2obobob2o14b2obobob2o14b2obobob2o14b2obobob2o14b2obo$2o18b2ob
2o18b2ob2o18b2ob2o18b2ob2o18b2ob2o18b2o2$2o18b2ob2o18b2ob2o18b
2ob2o18b2ob2o18b2ob2o18b2o$ob2o14b2obobob2o14b2obobob2o14b2ob
obob2o14b2obobob2o14b2obobob2o14b2obo$obo16bobobobo16bobobobo
16bobobobo16bobobobo16bobobobo16bobo$obobo12bobobobobobo12bob
obobobobo12bobobobobobo12bobobobobobo12bobobobobobo12bobobo!

[Lewis]

Here are new oscillators, the smllest possible (?) P16, several other high period oscillators including the first P107:

Code: Select all

x = 98, y = 111, rule = 234/3
83b2ob2o$79b2o3bob2o$78bob4o$78b2o3b5o$8b2obo39bob2o4bob2o18b
2o5bo$2b2o4bob2o39b2obo4b2obo13b5obo2b2obo$3bo2b2o12bo28b2o12b
2o7b2obo6b2o2bobob2o$2bo3bo12bobo28bo13bo7b2obob2o9bobobo$2b2o
3bo10bobobo26bo13bo11bobo10bo2b2o$3bo2b2o10bobobo26b2o12b2o7b
2obo6bo6bobo$2bo5b2obo5b2obob2o27bob2o4bob2o9bob2o2bo5bo2b3ob
o$2b2o4bob2o8bo30b2obo4b2obo11bob3o2bo5bo2b2obo$3bo2b2o4b2o3b
2o3b2o31b2o6b2o9bobo6bo6bob2o$2bo3bo5bo5bo3bo33bo7bo8b2o2bo10b
obo$2b2o3bo5bo4bobobo32bo7bo9bobobo9b2obob2o$3bo2b2o4b2o5bobo
33b2o6b2o9b2obobo2b2o6bob2o$2bo5b2obo8bo30bob2o4bob2o14bob2o2b
ob5o$2b2o4bob2o39b2obo4b2obo14bo5b2o$78b5o3b2o$82b4obo$78b2ob
o3b2o$78b2ob2o2$30b2o$30bo$27bo4bo$27b6o$24bo10bo$24b4o4b4o54b
obo$27bo4bo57b3o$2bob2o6bob2o8b3o6b3o$2b2obo6b2obo8bo2bo4bo2b
o14bob2o4bob2o24bo3b3o$6b2o8b2o7b3o4b3o15b2obo4b2obo23bobobo3b
ob2o$7bo9bo36b2o6b2o18bo2bobob6obo$6bo9bo8b10o20bo7bo16b5obob
obo3bob2o$6b2o8b2o7bobob2obobo19bo7bo11b2o3bo6bo3bob3obo$2bob
2o6bob2o38b2o6b2o11bo3b8o3b3o2b2o$2b2obo6b2obo36b2o4bob2o12b2o
b2o7bo7bo$2o8b2o41bo4b2obo15bob6obob7o$bo9bo13bobob2obobo17bo
9b2o13bo6bobobo$o9bo14b10o17b2o9bo12b4o3b2ob2o3b4o$2o8b2o38b2o
10bo19bobobo6bo$2bob2o6bob2o9b3o4b3o16bo10b2o12b7obob6obo$2b2o
bo6b2obo8bo2bo4bo2bo14bo7bob2o14bo7bo7b2ob2o$24b3o6b3o14b2o6b
2obo12b2o2b3o3b8o3bo$27bo4bo41bob3obo3bo6bo3b2o$24b4o4b4o37b2o
bo3bobobob5o$24bo10bo38bob6obobo2bo$27b6o41b2obo3bobobo$27bo4b
o45b3o3bo$30bo$30b2o46b3o$78bobo8$25bobobo$20b2o3b5o51b2ob2o$
20bo2b2o7bo20bob2o6bob2o14bo3bo$2o4b2o2b2o10b2ob8o20b2obo6b2o
bo6b2ob2obobo3bobob2ob2o$bo5bo3bo6b4o10bob2o21b2o2b2o4b2o5bob
ob2ob2ob2ob2obobo$o5bo3bo8bo2b2o5b2obo2bo22bo3bo5bo5bobobobob
obobobobobo$2o4b2o2b2o7bobo3bo2bo2bobo23bo3bo5bo5b2obo13bob2o
$2bob2o5bo4b2obobo9bob2o22b2o2b2o4b2o5bobo13bobo$2b2obo4bo6bo
bo2bobobobo5bo20b2o6bob2o7bob2o11b2obo$6b2o2b2o4b2obo10bo2bob
2o19bo6b2obo6b2ob2o11b2ob2o$7bo3bo5bobo4bo3bo4bobo19bo11b2o7b
o13bo$6bo3bo5b2obo2bo10bob2o18b2o11bo7bobo9bobo$6b2o2b2o6bo5b
obobobo2bobo17b2o12bo9b2obobobobob2o$7bo3bo6b2obo9bobob2o17bo
12b2o10bob2ob2obo$6bo3bo8bobo2bo2bo3bobo19bo9bob2o12bo2bobo2b
o$6b2o2b2o5bo2bob2o5b2o2bo19b2o8b2obo13b2o3b2o$17b2obo10b4o$20b
8ob2o$20bo7b2o2bo$23b5o3b2o$23bobobo7$59bo$58bobob2o$57bo2bob
o2bo$56bob2o3b3o$54b3obob3obob2o$22b2o4bob2o4bob2o13bo2b2o4bo
bobobo$22bo5b2obo4b2obo13b2o7bo2bo2bo$23bo2b2o4b2o6b2o9b2o2bo
2bo3bo4b3o$22b2o3bo5bo7bo10b3o7bo4bo2bo$26bo5bo7bo9bobo12bo2b
2obo$22b2o2b2o4b2o6b2o8b2ob5o3bo7bo2bo$22bo4bo5bo4b2o13bo5b3o
6bob2o$23bo2bo5bo6bo10b2obo6b3o5bo$22b2o2b2o4b2o4bo10bo2bo7bo
3b5ob2o$27bo5bo4b2o10bob2o2bo12bobo$22b2o2bo5bo3b2o13bo2bo4bo
7b3o$22bo3b2o4b2o3bo14b3o4bo3bo2bo2b2o$23bo4bob2o4bo16bo2bo2b
o7b2o$22b2o4b2obo4b2o15bobobobo4b2o2bo$54b2obob3obob3o$56b3o3b
2obo$56bo2bobo2bo$58b2obobo$62bo!

My full collection of everything can't be posted as it is over the character limit for messages, so I'll upload a copy of it into the first post in this topic.

[davidspencer]

I have tried creating some syntheses with the c/4 diagonal spaceship, and these are the results I got:

Here's a still life synthesis

Code: Select all

x = 12, y = 22, rule = B3/S234
$b2o4b2o$b2o4b2o$b2obo2b2obo$3bo5bo13$3bo5bo$b2obo2b2obo$b2o4b2o$b2o4b
2o!

[Sokwe]

Here's a c/3 spacefiller:

Code: Select all

x = 25, y = 29, rule = B3/S234
8b2o$7b2ob2ob3obo$5b2o5bo3b2obo$5b7o2bo3b2o$21bo$3b19o$b2o11bobo6bo$b
23o$24bo$25o$2o22bo$b23o$bo21b2o$b23o2$b23o$bo21b2o$b23o$2o22bo$25o$
24bo$b23o$b2o11bobo6bo$3b19o$21bo$5b7o2bo3b2o$5b2o5bo3b2obo$7b2ob2ob3o
bo$8b2o!

Also, here's a 2c/6 against-the-grain wave that I found while searching for the spacefiller:

Code: Select all

x = 173, y = 119, rule = B3/S234
54b3ob2o3bo$52b2o2bobobob6ob2o$51b4obo3b2obob6ob2ob3ob2o3bo$50bo19bobo
bo2bobobob6ob2o$49b23ob3obo3b2obob6ob2ob3ob2o3bo$48bo42bobobo2bobobob
6ob2o$47b46ob3obo3b2obob6ob2ob3ob2o3bo$46bo65bobobo2bobobob6ob2o$45b
69ob3obo3b2obob6ob2ob3ob2o3bo$44bo88bobobo2bobobob6ob2o$43b92ob3obo3b
2obob6ob2ob3ob2o3bo$42bo111bobobo2bobobob6o$41b115ob3obo3b2obob3o$40bo
$39b134o$38bo$37b136o$36bo$35b138o$34bo$33b140o$32bo$31b142o$30bo$29b
144o$28bo$27b146o$26bo$25b148o$24bo$23b150o$22bo$21b152o$20bo$19b154o$
18bo$17b156o$16bo$15b158o$14bo$13b160o$12bo$11b162o$10bo$9b164o$8bo$7b
166o$6bo$5b168o$4bo$3b170o$2bo$b172o$bo$173o$bo$2b171o$bo$b172o2$b172o
$bo$2b171o$bo$173o$bo$b172o$2bo$3b170o$4bo$5b168o$6bo$7b166o$8bo$9b
164o$10bo$11b162o$12bo$13b160o$14bo$15b158o$16bo$17b156o$18bo$19b154o$
20bo$21b152o$22bo$23b150o$24bo$25b148o$26bo$27b146o$28bo$29b144o$30bo$
31b142o$32bo$33b140o$34bo$35b138o$36bo$37b136o$38bo$39b134o$40bo$41b
115ob3obo3b2obob3o$42bo111bobobo2bobobob6o$43b92ob3obo3b2obob6ob2ob3ob
2o3bo$44bo88bobobo2bobobob6ob2o$45b69ob3obo3b2obob6ob2ob3ob2o3bo$46bo
65bobobo2bobobob6ob2o$47b46ob3obo3b2obob6ob2ob3ob2o3bo$48bo42bobobo2bo
bobob6ob2o$49b23ob3obo3b2obob6ob2ob3ob2o3bo$50bo19bobobo2bobobob6ob2o$
51b4obo3b2obob6ob2ob3ob2o3bo$52b2o2bobobob6ob2o$54b3ob2o3bo!

Edit: A halfmax-type pattern is much simpler in this rule than in Life:

Code: Select all

x = 29, y = 51, rule = B3/S234
10b2o$9b2ob2ob3obo$7b2o5bo3b2obo$7b7o2bo3b2o$23bo$5b19o$3b2o11bobo6bo$
3b23o$26bo$2b25o$2b2o22bo$3b23o$3bo21b2o$3b23o$8bobobobobobobobo$3b2o
19b2o$3bo21b2o$3b2o19b2o$2b2o22bo$2b3o19b3o$5bo17bo2bo$3b2o20bo$3b3o
17bobo$4b2o17bo$2bobo19bobo$2b2obo20b2o$2b2o20b3o$25b2o$3bo21bo$3b3o
18b3o$3bo19bobo$4bo$6bo16b3o$2b2obo20bo$bo25b2o$5o20b4o$bo22bo$b2obo
21b2o$2bobo21b2o$26bo$2b2o20b3o$2b2obo19b2o$5bo17bobo$4bo18b3o$2b2obo
18b4o$b2o20bo3bo$2b4o18b3o$bo25bo$o2bo22b3o$bo2bo19bo2bo$2b2o21b2o!

[Lewis]

Various new billiard table oscillators with periods ranging from 4 to 72:

Code: Select all

x = 263, y = 189, rule = B3/S234
242b2o2b2o$b2o3b2o117b2o115b2o2b2o$b2o3b2o14b2o13b2o86b2o18b2o17bo$22b
obobo10bo66b2obo37bobo14b5o73b10o$b2o3b2o13b2ob3o5b2ob2o2bo58b2o4bob2o
12b2ob4o14b2ob2obo13bo5bob2o9bo2bo2bo52bo10bo$bobobobo14b2o6bo2bobob3o
59bo2b2o17bobo3bo14bobobob2o11bob5obobo6b11o26b2o3b2o2bob2o10bob11o$3b
obo11bobo3b4o3b2ob2ob2o60bo3bo15bo2bob2ob2o11bo2bobo3bobob2o5b2o6bo2b
2o5bo11bo25b2o3b2o2b2obo10bobo2bobo$2b2obo11b4o3bobo5bobo3b2o58b2o3bo
14b3ob5ob2o9b3o2bo5bob2o4bo6b3o9bob5ob3obo38b2o7b2ob3o4b4o$6b2o12b2o
10b2o3bobo59bo2b2o17bo5b2obob2o10bo3bobo7bobo4bo2b4o4b2obo7bob2o24b2o
3b2o7bo8bo4bobo4bo$7bo9b3ob2o11b2ob2ob2o56bo5b2obo10b4o5bo2bob2o5b5o5b
2o6b2obo7bobobo4bobob2ob2obobo25bobobobo6bo9b13ob2o$6bo10bobobo10b3obo
bo2bo56b2o4bob2o10bob2o5b2obo6b3o7bo10bobob2o3b2obobo4bo3b2ob2obobo27b
obo8b2o22bo$6b2o12b2o10bo2b2ob2o59bo2b2o4b2o5b2obo2bo5b4o6bo2bo6b4o7bo
bobo7bob2o2b2obo7bob2o25b2obo4bob2o10b13ob2o$7bo26bo63bo3bo5bo6b2obob
2o5bo10b2o5b2o2b2o8b4o2bo4bobo4bobob2ob2o3bo30b2o2b2obo10bo4bobo4bo$6b
o26b2o63b2o3bo5bo9b2ob5ob3o9b2obo2bo16b3o6bo4bobob2ob2obobo31bo6b2o7b
2ob3o4b4o$6b2o91bo2b2o4b2o11b2ob2obo2bo9bo3bob2o11b2o2bo6b2o4b2obo7bob
2o29bo8bo8bobo2bobo$98bo5b2obo13bo3bobo13b4ob2o11bobob5obo7bob3ob5obo
30b2o6bo9bob11o$98b2o4bob2o14b4ob2o31b2obo5bo7bo11bo31bo6b2o9bo10bo$
141b2o21b5o9b11o31bo3bob2o12b10o$122b2o17b2o23bo13bo2bo2bo33b2o2b2obo$
3bob2o115b2o118b2o2b2o$3b2obo14b2o219b2o2b2o$b2o18bo$2bo19b3o$bo17b3o
3bo152bo$b2o15bo4b2obo112bobo35bobo$3bob2o11bo2bo2bobo68bob2o6bob2o30b
3o36bo2b2o64bo$3b2obo8b2obobo5bobo66b2obo6b2obo51bo21bo64b3o$7b2o6bobo
5bobob2o70b2o8b2o7bobobo8b2o2bo3b3o16b5o10b2ob6o3b2o63bo$8bo8bobo2bo2b
o74bo9bo7b5o8bo2bobobobobob2o10b3o4bo9b2obo5b5o60b3o2bobo$7bo9bob2o4bo
73bo9bo5bo9bo6b3obobo3bobo10bo3b2o2bo10bob7o59bobo2bo2b2ob2o$7b2o9bo3b
3o74b2o8b2o4b11o8bobob2ob2ob2o8bob3o2bo2b2o8bobo3bo2b4o30b2o3b2o4b2obo
10b2obob2obobo2b2o$3bob2o12b3o73bob2o6bob2o9b2o16bobo3bobo2bo6bobo4bo
4bo4b2ob2obo2bobobobo2bo27b2o3b2o4bob2o8b2o2bobobobobo2bo$3b2obo15bo
72b2obo6b2obo6b2o5b4o9bobob2obobob2o5b2obo5b2o2bo4bobobo8bobobobo35b2o
13bo2bo2bobob4obo$21b2o70b2o8b2o10bob5obobo9bobob2obobo8bobo8bob2o5bob
3o6bobo2bo27b2o3b2o2bo13bob3ob2o7bo$94bo9bo9b2ob3o2b2ob2o9bobo3bobo7b
2obo8bobo3bo2bobo6b3obo30bobobobo3bo13bo2bo7bobo$93bo9bo13bo5bo10bobob
2ob2ob2o7bo2b2o5bob2o2bobobobo8bobobo30bobo4b2o11bob3o8b2ob3ob2o$93b2o
8b2o12b7o8b3obobo3bobo8bo4bo4bobo4bo2bobobobo2bob2ob2o29b2obo6b2obo6bo
bo3bo9b2obobo$95bob2o6bob2o22bo2bobobobobob2o8b2o2bo2b3obo7b4o2bo3bobo
36b2o4bob2o6bobob2o9bo3bobo$95b2obo6b2obo10b3o9b2o2bo3b3o14bo2b2o3bo
12b7obo37bo8b2o3b2ob3ob2o8b3obo$3bob2o26bobo83bobo34bo4b3o9b5o5bob2o
35bo9bo10bobo7bo2bo$3b2obo26b3o103b3o15b5o11b2o3b6ob2o35b2o9bo8bo7b2ob
3obo$b2o28b2o106bobo17bo17bo45bo8b2o7bob4obobo2bo2bo$2bo13b2o12bo2b3o
141b2o2bo40bo5b2obo10bo2bobobobobo2b2o$bo13bobo8b2obobo4bo143bobo39b2o
4bob2o9b2o2bobob2obob2o$b2o12bo11bobob2ob2obo143bo61b2ob2o2bo2bobo$3bo
b2o6bobo10b2obo4bo2bo205bobo2b3o$3b2obo6b2ob3o9bo2bo4bob2o86bo120bo$b
2o4b2o7bob2o8bob2ob2obobo82b2o3b3o119b3o$2bo5bo7bobobo8bo4bobob2o80bob
o5bo121bo$bo5bo7b2ob2o10b3o2bo84bobob4o$b2o4b2o24b2o82b2ob2obo4b3o$3bo
b2o23b3o84bobobobob4o2bo$3b2obo23bobo83b2obobobo5b3o$119bobobob4o$119b
o9bo$120b4obobobo$117b3o5bobobob2o$117bo2b4obobobobo$118b3o4bob2ob2o
112b2o2bob2o$3bob2o114b4obobo114bob4ob2o$3b2obo13bobo97bo5bobo114b2o$b
2o4b2o8bo2b3o97b3o3b2o117b2ob6o$2bo5bo8b3o102bo93b2o3b2o4b2obo12b2obob
o5bob2o$bo5bo13b4ob2o188b2o3b2o4bob2o11bobo3bo2b4obobo$b2o4b2o8b3obo2b
obo198b2o4b2o9bobo3bo6bob2o$3bob2o10bob2ob3obo189b2o3b2o2bo5bo7b2obobo
3b2o4b2obo$3b2obo7b2obobo3bo3b2o187bobobobo3bo5bo6b2obo4bo2bo6bo$b2o4b
2o6bob2o5b2obo190bobo4b2o4b2o9bo3bo4b5ob2o$2bo5bo5b2o3bo3bobob2o188b2o
bo6b2obo8b2ob5o4bo3bo$bo5bo8bob3ob2obo195b2o4bob2o9bo6bo2bo4bob2o$b2o
4b2o7bobo2bob3o196bo2b2o4b2o7bob2o4b2o3bobob2o$3bob2o8b2ob4o123b2o74bo
3bo5bo7b2obo6bo3bobo$3b2obo16b3o93b2ob2ob2o3bo14b2o74b2o3bo5bo6bobob4o
2bo3bobo$20b3o2bo92bobobob2obo2b3o14b2ob2o70bo2b2o4b2o7b2obo5bobob2o$
20bobo76b2obo4b2obo7bobobo4bo5bo11b2obobobo68bo5b2obo13b6ob2o$99bob2o
4bob2o6b2obobob3ob6o10bobobobobo68b2o4bob2o22b2o$103b2o6b2o7bo3bobobo
15bob2ob2ob2o92b2ob4obo$103bo7bo8b2o2bob2o2b4o8b2o2b2ob2obobo91b2obo2b
2o$104bo7bo5b2o2bobobo6bo4b2obo4b3obo2b4o$103b2o6b2o4bo2b4o3b4obo5b2ob
5o3b2o6bo$99b2obo4b2obo6b2obo9bob2o6bo2b3o5b7o$99bob2o4bob2o7bob4o3b4o
2bo6b3o2bo5bob2o$97b2o12b2o4bo6bobobo2b2o10b2obo5bo2b3o$4bob2o25b2ob2o
59bo13bo5b4o2b2obo2b2o9b7o5b3o2bo$4b2obo24bobobo61bo13bo9bobobo3bo9bo
6b2o3b5ob2o$2b2o4b2o7bo4b2o8b2o3b3o14b2o16b2o23b2o12b2o4b6ob3obobob2o
7b4o2bob3o4bob2o$3bo5bo6bobobo2bo10b3o3bob2o10b2o16b2o2bo22b2obo4b2obo
6bo5bo4bobobo10bobob2ob2o2b2o$2bo5bo6bo2bob2ob2o7b2o3bob2obobo29b5o20b
ob2o4bob2o7b3o2bob2obobobo11b2ob2ob2obo$2b2o4b2o6b3o2bobo7bob2o4bobob
2o7b4o14b4o5bo40bo3b2ob2ob2o13bobobobobo$4bob2o11b2o2bo7bo9bo9bobob3o
11bo5b3obo65bobobob2o$4b2obo8b2ob2o2b2o4bobobo7bob2o6bo2bo3bo10bobobob
o3bob2o63b2ob2o$8b2o7b2o3b2o5b2obo7bobobo3b2ob2ob3obo9b2obobob3obob2o
68b2o$9bo5bo5bobo8bo9bo5b2obo2b3ob2ob2o6bob3o6bo70b2o$8bo6b8o6b2obobo
4b2obo8bobob3obob2o6bo6b3obo165b2ob2o$8b2o7bo2bo8bobob2obo3b2o9bob2o3b
2o7b2obob3obobob2o164b2ob2o$4bob2o22b2obo3b3o12bo3bo2bo7b2obo3bobobobo
43bo5bo87bob2o6bob2o16bo$4b2obo26b3o3b2o11b6o11bob3o5bo42bobo3bobo86b
2obo6b2obo12b4ob4o$37bobobo28bo5b4o19bob2o6b2obo11bo5bo85b2o8b2o16bo2b
obo2bo$36b2ob2o14b2o14b5o23b2obo6bob2o104bo9bo13b2ob2obobob2ob2o$55b2o
16bo2b2o25b2o2b2o10b2ob5ob5ob2o80bo9bo14bobobobobobobobo$76b2o26bo2bo
11b2obobobobobobob2o80b2o8b2o10b2obobo3bobo3bobob2o$103bo4bo13bob2o3b
2obo85bob2o6bob2o6b2obob2ob2ob2ob2obob2o$103b2o2b2o10b3ob2o5b2ob3o82b
2obo6b2obo9bobo3bobo3bobo$99bob2o6b2obo5bobo4bo3bo4bobo85b2o2b2o4b2o7b
obo3bobo3bobo$99b2obo6bob2o5bobo4bo3bo4bobo86bo3bo5bo4b2obobo3bobo3bob
ob2o$97b2o8b2o4b2o4b3ob2o5b2ob3o86bo3bo5bo5b2obob2ob2ob2ob2obob2o$98bo
8bo5bo8bob2o3b2obo89b2o2b2o4b2o7bobo3bobo3bobo$97bo10bo5bo4b2obobobobo
bobob2o82bob2o6bob2o9bobobobobobobobo$97b2o8b2o4b2o4b2ob5ob5ob2o82b2ob
o6b2obo10bob4ob4obo$99bob2o6b2obo130bo9bo$99b2obo6bob2o11bo5bo114bo5bo
$123bobo3bobo112b2o5b2o$124bo5bo$2o3b2o$o4bo26bo19b2o3bo$bo4bo10b2o13b
3o16bo2bobobo15b2o168bobobobo$2o3b2o10bo3bo8b2obobo15bob2obobo15b2o
142bob2o6bob2o12b3ob3o$18b4o9bo3bo2bo10b2o3bobo2b2o9b2o146b2obo6b2obo$
2o3b2o8b3o13bo3b4o9bo4b4o4bo4bo2bob5o58bobo79b2o8b2o4b2o5b2ob5ob5ob2o$
o4bo9bo3b3o7b4o2bo3b2o7bobobob2ob4o5b4o6bob2o48b2o4b3o80bo9bo5bo6bobob
obobobobobobo$bo4bo5b2obo6bo5bo9b2o9b5o2b2o13b3o2bob2o47bobo86bo9bo5bo
7bobobobobobobobobo$2o3b2o5bo2bo4b3o5b2o9bo12b2o2b5o7bo5bobo50bob2ob3o
81b2o8b2o4b2o3b2obobo3bobo3bobob2o$14bob5o6b2o3bo2b4o10b4ob2obobobo5bo
b3o2bobo48b3o2bobob3o81bob2o6bob2o6bobobo2b2ob2o2bobobo$2o3b2o6b2obo
12b4o3bo11bo4b4o4bo5bo4bobob2o48bobobobobo2bo2b2o76b2obo6b2obo5b2obo
13bob2o$o4bo11b4o8bo2bo3bo12b2o2bobo3b2o7b2o2bo4bo20b2obo6b2obo11bo2bo
bobobo4bo2bo81b2o2b2o4b2o4bobobo2b2ob2o2bobobo$bo4bo12b2o11bobob2o13bo
bob2obo11bobo2b2o21bob2o6bob2o11b3o2bo3b2o2b3ob2o81bo3bo5bo4bobobo3bob
o3bobob2o$2o3b2o26b3o15bobobo2bo11bo2bobo26b2o2b2o4b2o7b3o4bobobobo3bo
83bo3bo5bo4b2obobobobobobobobobo$35bo16bo3b2o13b2o2bo26bo3bo5bo7bo3b4o
bobob6o83b2o2b2o4b2o6bobobobobobobobobo$75b2o26bo3bo5bo6b3o5bo3bo85bob
2o6bob2o8b2ob2obobob2obobo$102b2o2b2o4b2o8b4obo5bob4o79b2obo6b2obo11bo
b2ob2obobo$98b2obo6b2obo16bo3bo5b3o102bobobobobobo$98bob2o6bob2o10b6ob
obob4o3bo101b2obobobobob2o$96b2o8b2o4b2o8bo3bobobobo4b3o106bo3bo$96bo
9bo5bo6b2ob3o2b2o3bo2b3o$97bo9bo5bo6bo2bo4bobobobo2bo$96b2o8b2o4b2o5b
2o2bo2bobobobobo$2o4bob2o88b2obo6b2obo12b3obobo2b3o$o5b2obo88bob2o6bob
2o14b3ob2obo$bo8b2o10bobobo2bo101bobo111b2obo2bob2o$2o9bo10b8o94b3o4b
2o113bob4obo$10bo113bobo116bo2bo6bo2bo$2o8b2o8b10o188b2obo6b2obo11b14o
$o5bob2o6b2obo2bo7bo187bob2o6bob2o17b2o$bo4b2obo7bob2o3b3obobo185b2o8b
2o4b2o7b3ob2o6b2ob3o$2o2b2o10b2obo2bo5bob2o94b2ob2o85bo9bo5bo7bo2bobo
8bobo2bo$5bo14b9ob2o94b2ob2o86bo9bo5bo6bob2ob2o6b2ob2obo$2o2bo93b2obo
6b2obo104b2o8b2o4b2o3b2obo3b3o6b3o3bob2o$o3b2o16b5o71bob2o6bob2o12b9o
85b2obo4bo5bo4b2ob3o14b3ob2o$bo4bob2o12bobobo75b2o2b2o4b2o9bo3bob2o2bo
b2o81bob2o5bo5bo$2o4b2obo92bo3bo5bo9bob2ob2o3b2obo80b2o4b2o2b2o4b2o3b
2ob3o14b3ob2o$103bo3bo5bo8bob2obob2o2bob2o79bo5bo3bo5bo4b2obo3b3o6b3o
3bob2o$102b2o2b2o4b2o5b2obo4b6o84bo5bo3bo5bo6bob2ob2o6b2ob2obo$98b2obo
6b2obo7b2ob5o89b2o4b2o2b2o4b2o6bo2bobo8bobo2bo$41bo2b2o52bob2o6bob2o
10bobobo2b2o87b2obo6b2obo9b3ob2o6b2ob3o$41b4obo49b2o14b2o5b2ob2ob2obob
o87bob2o6bob2o17b2o$2o2b2o3b2o35bo49bo15bo6b2ob2ob2ob2o113b14o$o3b2o3b
2o8b2o18b7ob2o48bo15bo8bo3bo116bo2bo6bo2bo$bo17bo4bo13bo7bo2bo46b2o14b
2o8bobobo119bob4obo$2o2b2o3b2o10bobobob2o9bo2b2o3bo2bo48b2obo6b2obo11b
3o119b2obo2bob2o$4bobobobo9b2obobob2o6b2obobo6b2ob2o46bob2o6bob2o$2o4b
obo11bob3obo9bobobo2b2o4bo2bo70b3o$o4b2obo8b2obob2o2bo9bobo3bo2bo3bob
2o70bobo$bo7b2o7bob2o4bob2o5b2obo3bo2bo3bobo$2o8bo6b2obobobobob2o5bo2b
o4b2o2bobobo$9bo10bob3obo9b2ob2o6bobob2o$2o7b2o9b3o3bo11bo2bo3b2o2bo$o
9bo12b3o12bo2bo7bo$bo7bo12bo16b2ob7o$2o7b2o11b2o17bo208b2o2b2o$41bob4o
203b2o2b2o$42b2o2bo211bo$220bob2o6bob2o10bobob11o$220b2obo6b2obo10b3ob
o3bo6b2o$224b2o8b2o12b2o2b2o2b2obo$225bo9bo10b2o2bo2b2o2bobo$224bo9bo
10bob5ob5ob2o$224b2o8b2o9bo6bobo3bo$222b2o6bob2o12b9o2b2o$223bo6b2obo$
222bo5b2o16b9o2b2o$222b2o5bo15bo6bobo3bo$220b2o6bo16bob5ob5ob2o$221bo
6b2o16b2o2bo2b2o2bobo$220bo9bob2o14b2o2b2o2b2obo$220b2o8b2obo10b3obo3b
o6b2o$244bobob11o$258bo$250b2o2b2o$250b2o2b2o!

The stabilisations for most of these could probably be optimized a lot further.

[towerator]

An asymetric p20

x = 37, y = 13, rule = 234/3
9bo$7b3o$3b2obo5bo2bo2bo2bo2bo2bo2bo2bo$4bobob5o2b4o2b4o2b4o2b
3o$3bo2bobo27bo$3bob2ob28o$2obo2b3o5bo11bo$ob4o2b7o3b8o3b7o$2b
o3bobo6bo9bo9bo$2b33o2$4b4o2b3o2b4o2b4o2b4ob3o$4bo2bo2bobo2bo
2bo2bo2bo2bo2bobobo!

[wildmyron]

I've been exploring variations of this rule for a while, but I hadn't thought to search for this thread and had no idea about the diversity of oscillators and spaceships which had been found - they are fantastic. The only thing I am able to add is a minimisation of the stator for a p5 - it is located at 5.2.11 in the zipfile but there's no listing for it in information.txt (though it's mentioned in the four copy version at 5.2.7)

Code: Select all

x = 30, y = 11, rule = B3/S234
4b2o18bo$3bobo2bo14bobo$3bobobobo10bobobobo$b3obo2bo11b3obo2bo$o27bo$
4o3b4o9b3o3b2obo$10bo9bo7bo$2bo2bob3o11bo2bob2o$bobobobo14bobobo$2bo2b
obo15b2ob2o$5b2o!

I've included two versions: the stator on the left comes from a p6 in Life which has an almost identical rotor, the stator on the right is the smallest returned by JLS.

[Lewis]

c/2 wickstretchers:

Code: Select all

x = 28, y = 35, rule = B3/S234
12bobobobobobobo$10b15o$8b2o$7b20o$3b2obo8b2o10bo$b2o3b7o2bo2b7ob2o$2o
6bobo2bob3o6bobo$2ob4o3b2o3bobob2o2b2ob2o$b3o5bo14bo$3b22o$4bo$6b21o$
6bo19bo$7b19o$9bobobobobobobobo6$13bobobobobobo$11b13o$10bo$10b14o$5b
2obo8bobobobo$3b2o3b7o$2b2o7bo3bo$2b2ob4o3b2o$3b3o4bobo3bobobobobo$5b
20o$6bo18b2o$7b18o2bo$8b2o15b2o$10b15o$12bobobobobobobo!

The second one looks like it could be made into a spaceship if we can find a way to burn the other end at c/2.

EDIT: and a P4 c/2 spaceship:

Code: Select all

x = 54, y = 12, rule = B3/S234
9bo$3b2o2b3o27bobob2o7bo$b2o3b4obo4bo17b7o6b2obo$2o6b2obo2b3o15b2o6bob
2o3bo$2ob5obobob4obo4bo8b6o3bo4bo3bob2o$b3o11b2obo2b3o6b2o4bo3b9obo$3b
12obobob4obo3b4o4b4o$4bo17b2obo2bo6bo4b9obo$5b17obobob12o2bo3bo4bob2o$
6b2o33b2o4bo$8b34obo3b2obo$10bobobobobobobobobobobobobobobobo9bo!

[BlinkerSpawn]

What's the highest density stable agar in this rule?

The best improvement I've seen over your 5/9 (55.56%) agar would be this 9/16 (56.25%):

Code: Select all

O...
.OOO
.O.O
.OOO

[wildmyron]

What's the highest density stable agar in this rule?

The best improvement I've seen over your 5/9 (55.56%) agar would be this 9/16 (56.25%):

Code: Select all

O...
.OOO
.O.O
.OOO

This increases the lower bound to 7/12 (58.33%)

Code: Select all

x = 6, y = 4, rule = B3/S234
2ob2o$bobobo$2ob2o$obobo!

Edited to add:

A p12 version of the lightspeed signal injector

Code: Select all

x = 28, y = 13, rule = B3/S234
2b2obo2bob2o$3bob5obo$2b2obo3bobob2ob2o$5bob5obob2o$2b2obobo5bo3bo2bo
2bo$2bob2ob19o$obo4bobo11bo4bo$2ob3ob2o3b9o3b2obo$3bo4bo11bo5bo$3b23o$
11bo2bo2bo2bo2bo$5b4o$5bo2bo!

Edit 2

Another new p12, if I'm not mistaken

Code: Select all

x = 12, y = 10, rule = B3/S234
3bo$3b3o2b2o$2obo2bo2bo$bo2bo2b2o$bo5bob3o$2o5bobobo$bobobobo$b2ob2ob
2o$2bo$b2o!