B3/S2456

[Lewis]

I only recently found this rule. It has oscillators of many periods (2,3,4,5,6 occurring naturally) and a natural 3c/16 ship. The rule is difficult to make a census for, due to the very large number of patterns that occur naturally.

Code: Select all

x = 194, y = 99, rule = 2456/3
100b2o$43bo2bo4bobo9b2o34bo2bo$bobobo4bo4b2o4b2o6b2o4bobo6b3o
4b3o9bo35bo2bo14bo4b2o4bo$10bo4b2o3b3o7b2o2bob2o2bo3b2ob2o2bo
b3o2bobob3o33b6o13b3obo2bob3o$5bo4bo4b2o3b2o5bobobo5b4o2b2ob2o
4bobo3b5o35b2o2b2o12b2obobo2bobob2o$15b2o10b2o7b3o6b3o7bo4b2o
35bob4obo9b3ob10ob3o$bobobo22b2o6b2o7bo2bo5bo6bo35b3o2b3o10bo
bobobo2bobobobo$10bo11b2o37b2o14bo2bobobo10b2ob6ob2o8b4o2b4o2b
4o$bo7b3o3b2o5b3o68b2ob2obo2bob2ob2o8bo10bo33bobobo2bobobo$10b
o4b2o3b2ob2o4bobo5b2o7b2o29bo2bo3bo6b8o4b8o4b5o6b5o55bo2bo$bo
bobo9b2o3b3o6b3o3bob2o5bo4bo40bo2bobobo6bobobo2bo2bo2bobo6bob
o2bo30bo10bo11bob2obo$21b2o4b3obo4bobo6bo2bo28bo2bo3bo5bo2bob
obo6bobobo2bo2bo2bobo6bobo2bo52b2o4b2o$27bo2bo5b2obo4bo4bo41b
8o4b8o4b5o6b5o31bobobo2bobobo10b2o4b2o$36b2o8b2o29bo2bo3bo8b2o
b2obo2bob2ob2o8bo10bo56bob2obo$bobobo89b2ob6ob2o8b4o2b4o2b4o31b
o3bo2bo16bo2bo$77bo2bobobo12b3o2b3o10bobobobo2bobobobo$5bo12b
3o2b3o4b2o65bob4obo9b3ob10ob3o30bobobo2bobobo$11b2o6bob2obo5b
o7b2o7bo3bob2o43b2o2b2o12b2obobo2bobob2o$bobobo5b2o5b8o3b2o5b
ob3o2bo2b2o3b4o43b6o13b3obo2bob3o$9b4o7bo2bo4b3obo3b4o3b6o4b2o
44bo2bo14bo4b2o4bo$5bo4bobo7bo2bo6b2o6b2o4b2o2bo4bo45bo2bo$9b
2ob2o4b8o4b2o5bo6bo7b2o46b2o$bobobo13bob2obo5bo$18b3o2b3o3b2o
4$bo3bo25bobo9bo53bo2bo$10b2o3bo7b3o4bob2o6b2o2bo5b2o7bobo35b
4o$bo3bo3b3o2b2o8bo8b3o3bo3bo5b5o5b3o17bo2bo12b2ob2ob2o$14bob
o4bobobobo3b3obo3bo2b3o2b3obobo5b2ob3o31b2o2b2o$bobobo18bo7b2o
4b5o5bo8b2ob4o15bo2bo13b2o2b2o$23b3o7bo6b2o5bobo8b4ob2o31bo4b
o$5bo3bobo3b2ob2o13b2o5b2o6bo8b3ob2o16bo2bo12b8o$9b2o5bobo41b
3o26b2o2b2obob2obob2o2b2o$5bo5bo3bobobo40bobo16bo2bo6b2o2b2ob
ob2obob2o2b2o$16bobo5bo70b8o$24b3o52bo2bo13bo4bo$23b2o2bo68b2o
2b2o$10bo12b2o2bo68b2o2b2o$10bobo9bob3o68b2ob2ob2o$9b2ob2o8b3o
72b4o$12b2o8bobo72bo2bo$11bo132bob2obo4bob2obo$144b6o4b6o$142b
2ob2ob2ob2ob2ob2ob2o$143b2ob2ob6ob2ob2o$142b4ob3ob2ob3ob4o$142b
2ob2obo6bob2ob2o12bo2bobobo$obobo138b2ob2o8b2ob2o28bobo$12b2o
11b2o68bo46b5o10b5o12bo2bo10bob2o$o12bo11b3o66bobo21b2o10b2o13b
o12bo30bob3o$12b3o8bob2o50bo2bobobo10bo21bob3o9b2o11b3o10b3o14b
o2bobobo9bo$obobo8b2o9bobo65b7o9bo8b4o10b4o9b3o10b3o29bob3o$14b
2o8b2obo49bo6bo7bobobobo8bo9b2ob2o10bo2bo9bo12bo15bo2bo3bo6bo
b2o$4bo9b4o5b3o64bob4ob2obo5bobobo5bob4o4bo4b2obo7b5o10b5o27b
obo$14bo2bo6b2o51bo2bobobo4bob2ob3ob2obo2bo2b4o7bobo5b3obob2o
9b2ob2o8b2ob2o13bo2bobobo$obobo85bob7obo3b3ob2o6bob4o5b5ob2o7b
2ob2obo6bob2ob2o$77bo2bo11bobobobo7b3o8b3o8bo2b2o9b4ob3ob2ob3o
b4o$92b7o7bobo8bo10bobobo10b2ob2ob6ob2ob2o$77bo2bobobo10bo20b
2o11bo12b2ob2ob2ob2ob2ob2ob2o$94bobo47b6o4b6o$95bo48bob2obo4b
ob2obo2$obobo$18bo16b2o$o16bobo4b2obo7bo$18bobo4bobobo4b3o104b
2o$obobo7b2o3b3o4b3ob2o4b3o40bo2bobobo6bobo10bobo35bo$11b2o4b
3o6b2obo3b2o56b3o10b3o19bo2bo3bo5bo2b2o4b4o$o3bo6b2o5bo7bobo4b
2o42bo6bo7b2o10b2o33b4obob2o2bobo$10b2o5b2o15bo54bob2ob3o4b3o
b3o18bo2bo3bo7bob4o2bobo$obobo29b2o41bo2bobobo5bob4o6b3ob4o32b
2ob8o$89b3obob2o4b2ob2obobo16bo2bobobo9b2o2bo2bo$77bo6bo6b2o11b
3o36b2o2bo2bo$91bobo11bo20bo6bo8b2ob8o$24b2o51bo2bobobo20b2o34b
ob4o2bobo$obobo6bobo10bo101bo6bo5b4obob2o2bobo$10bob4o6b3o114b
o2b2o4b4o$4bo5b3obobo6b2o117bo$9b2o3b2o7bo117b2o$4bo5b2o3b2o4b
4o5bo$9bobob3o6b2obob4o$4bo5b4obo5b2ob5o$12bobo8b3o2bo$4bo18b
obo$91b2ob2ob2o$90bo2b4o2bo$73bobobo2bobobo4bo3bo2bo3bo$89bo2b
ob2obo2bo$bobobo71bo2bo9b2o2b2o2b2o$14bo8bo65b2ob2o2b2ob2o$bo
3bo7b3o6bobo48bobobo2bobobo4b2ob2o2b2ob2o$11b4o7bo2bo64b2o2b2o
2b2o$bobobo4b3o2bo4b8o45bo10bo4bo2bob2obo2bo$12bo8b2obo2bo61b
o3bo2bo3bo$bo3bo6b2o10b2o47bobobo2bobobo5bo2b4o2bo$91b2ob2ob2o
$bobobo!

[ad_ca]

Yeah, this one's pretty rich on oscillators.
A couple of p9 oscillators for your collection:

Code: Select all

x = 18, y = 12, rule = B3/S2456
2b2o$6o5b2ob2o$bo2bo4b9o$2o2b2o4b2o3b2o$10bo5bo$9b4ob4o$bo2bo4b2o2bo2b
2o$2b2o6bo5bo$2b2o6b7o$ob2obo6b3o$6o8bo$2b2o!

The 3c/16 glider is known; see also the Eppstein's DB (though i'm sure you've noticed it already).

upd: And here is a c/5 orthogonal spaceship:

Code: Select all

x = 13, y = 33, rule = B3/S2456
6bo2$6bo$3bob3obo$2b2ob3ob2o$5b3o2$3bo5bo$2bob5obo$5bobo$3b3ob3o$5bobo
3$4b5o$3bobobobo$3b2o3b2o$4bobobo$5bobo$5bobo$3b2o3b2o$4b2ob2o$o3b2ob
2o3bo$bo2b2ob2o2bo$b2ob2ob2ob2o$b2ob2ob2ob2o$2bob2ob2obo$3bo2bo2bo$o
11bo$b5ob5o$3bo5bo$2b4ob4o$3b2o3b2o!

[Sokwe]

This one's pretty rich on oscillators.

Indeed, I searched through some random agars for some new periods. Unfortunately, many of the agars that I found consist of connected static regions surrounding small oscillating regions. These can, of course, be stabilized by cutting out the oscillating region and stabilizing the edges, but I have to do it by hand, which is quite tedious. I have intended to write a program that takes such an agar and turns it into individual oscillators, but I currently lack the time (has anyone already written such a program?).

Here's a period-17 oscillator:

Code: Select all

x = 23, y = 23, rule = B3/S2456
10bobo$4b2o2b3ob3o2b2o$5bo2bo5bo2bo$4b3ob3ob3ob3o$bobobobobo3bobobobob
o$b6ob3ob3ob6o$3bobo2b2o3b2o2bobo$4bo2b2o5b2o2bo$b3ob3o7b3ob3o$bob4o9b
4obo$2obobo11bobob2o2$2obobo11bobob2o$bob4o9b4obo$b3ob3o7b3ob3o$4bo2b
2o5b2o2bo$3bobo2b2o3b2o2bobo$b6ob3ob3ob6o$bobobobobo3bobobobobo$4b3ob
3ob3ob3o$5bo2bo5bo2bo$4b2o2b3ob3o2b2o$10bobo!

[ad_ca]

So you have some unstable agars here? Usually WLS is clever enough to stabilize them. Can you show a couple of examples?

P.S. c/6:

Code: Select all

x = 13, y = 25, rule = B3/S2456
2bo7bo$3bobobobo$3bo5bo$2bo2bobo2bo$3b2o3b2o$4b2ob2o$4bobobo$3bobobobo
$3b2obob2o$2bo3bo3bo$2bo7bo$4b2ob2o$3b3ob3o$obob2ob2obobo$bo2b2ob2o2bo
$obob2ob2obobo$3b2o3b2o$3b2o3b2o$2bobo3bobo$b2o7b2o$bo2bo3bo2bo$bobo5b
obo$3bo5bo$obobo3bobobo$bobo5bobo!

P.P.S. It's strange that this rule doesn't seem to support c/3 diagonal spaceships (though b3/s24 and b3/s245 have a lot of them).

[Sokwe]

Usually WLS is clever enough to stabilize them.

Unfortunately, WLS does not handle periods greater than 19 (although I haven't found any p20+ agars that need stabilizing). I suppose it would be sufficient to mark the rotor of the oscillator as "don't care" cells, and surround that by two rows of the stator provided by the agar, but they are still a pain to set up.

Can you show a couple of examples?

The only interesting example I have right now is this period 19 agar:

Code: Select all

x = 80, y = 80, rule = B3/S2456
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o$2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o
2b2o2b3ob2ob3o2b2o2b3o$3ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o
2b2o2b2ob4ob2o2b2o2b2obo$2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo
2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o$2b2o10b2o2b2o10b2o2b2o10b2o2b2o
10b2o2b2o10b2o$2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo$2o14b
2o14b2o14b2o14b2o$2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o$2b3o8b3o2b
3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o$2o14b2o14b2o14b2o14b2o$2o2bo8bo2b2o2bo
8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo$2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o
2b2o10b2o$2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo
2b2o2b2o2bob2obo2b2o$3ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b
2o2b2ob4ob2o2b2o2b2obo$2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o
2b2o2b3ob2ob3o2b2o2b3o$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$2ob3o2b2o2b3ob2ob3o2b2o
2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3o$3ob2o2b2o2b2ob4ob2o2b2o
2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2obo$2b2o2bob2obo2b2o2b2o
2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o$2b2o10b2o
2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o$2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o
2bo8bo2b2o2bo8bo$2o14b2o14b2o14b2o14b2o$2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b
3o2b3o8b3o$2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o$2o14b2o14b2o14b2o
14b2o$2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo$2b2o10b2o2b2o
10b2o2b2o10b2o2b2o10b2o2b2o10b2o$2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o
2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o$3ob2o2b2o2b2ob4ob2o2b2o2b
2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2obo$2ob3o2b2o2b3ob2ob3o2b2o
2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3o$2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
$2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3o
$3ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2o
bo$2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b
2o2bob2obo2b2o$2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o$2o2bo8bo
2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo$2o14b2o14b2o14b2o14b2o$2b3o8b
3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o$2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b
3o8b3o$2o14b2o14b2o14b2o14b2o$2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b
2o2bo8bo$2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o$2b2o2bob2obo2b
2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o$3ob
2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2obo$
2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3o$
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o$2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o
2b2o2b3ob2ob3o2b2o2b3o$3ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o
2b2o2b2ob4ob2o2b2o2b2obo$2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo
2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o$2b2o10b2o2b2o10b2o2b2o10b2o2b2o
10b2o2b2o10b2o$2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo$2o14b
2o14b2o14b2o14b2o$2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o$2b3o8b3o2b
3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o$2o14b2o14b2o14b2o14b2o$2o2bo8bo2b2o2bo
8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo$2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o
2b2o10b2o$2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo
2b2o2b2o2bob2obo2b2o$3ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b
2o2b2ob4ob2o2b2o2b2obo$2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o
2b2o2b3ob2ob3o2b2o2b3o$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$2ob3o2b2o2b3ob2ob3o2b2o
2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3o$3ob2o2b2o2b2ob4ob2o2b2o
2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2obo$2b2o2bob2obo2b2o2b2o
2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o$2b2o10b2o
2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o$2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o
2bo8bo2b2o2bo8bo$2o14b2o14b2o14b2o14b2o$2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b
3o2b3o8b3o$2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o$2o14b2o14b2o14b2o
14b2o$2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo$2b2o10b2o2b2o
10b2o2b2o10b2o2b2o10b2o2b2o10b2o$2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o
2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o$3ob2o2b2o2b2ob4ob2o2b2o2b
2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2obo$2ob3o2b2o2b3ob2ob3o2b2o
2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3o!

Also, here are two p16 oscillators, a new p17 oscillator, and a non-trivial p20 oscillator:

Code: Select all

x = 86, y = 39, rule = B3/S2456
2bo2bo6bo2bo26b2o26bo2bo6bo2bo$2b3o8b3o25b4o25b3o8b3o$2ob2o8b2ob2o21b
2ob2ob2o21b2ob2o3b2o3b2ob2o$b2ob3o4b3ob2o21b3ob2ob3o21b2ob10ob2o$b3ob
8ob3o20bobob4obobo20b3ob2ob2ob2ob3o$o2b2obo4bob2o2bo18b3ob2o2b2ob3o18b
o2b2o8b2o2bo$3b3ob4ob3o21b2obo2b2o2bob2o21b2o8b2o$4bobob2obobo21bo2b2o
2b2o2b2o2bo20bo10bo$4bob2o2b2obo20b5ob2o2b2ob5o18b3o8b3o$4bob2o2b2obo
20b5ob2o2b2ob5o18b3o8b3o$4bobob2obobo21bo2b2o2b2o2b2o2bo20bo10bo$3b3ob
4ob3o21b2obo2b2o2bob2o21b2o8b2o$o2b2obo4bob2o2bo18b3ob2o2b2ob3o18bo2b
2o8b2o2bo$b3ob8ob3o20bobob4obobo20b3ob2ob2ob2ob3o$b2ob3o4b3ob2o21b3ob
2ob3o21b2ob10ob2o$2ob2o8b2ob2o21b2ob2ob2o21b2ob2o3b2o3b2ob2o$2b3o8b3o
25b4o25b3o8b3o$2bo2bo6bo2bo26b2o26bo2bo6bo2bo8$5bo6bo$4b3ob2ob3o$5b8o$
5bo2b2o2bo$4bobob2obobo$3b12o$5bobo2bobo$5bobo2bobo$3b12o$4bobob2obobo
$5bo2b2o2bo$5b8o$4b3ob2ob3o$5bo6bo!

Here's a reduction of the p14 oscillator:

Code: Select all

x = 12, y = 6, rule = B3/S2456
obo6bo$2obobobob3o$2b4o2bobo$2bob8o$6bo2bo$7b2o!

It's strange that this rule doesn't seem to support c/3 diagonal spaceships.

How wide have you searched? I looked through width 15 asymmetric, and width 29 bilaterally symmetric without any results, but my computer is running slow for some reason, and I'm already running another (totally unrelated) search.

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The only interesting example I have right now is this period 19 agar:

Ha! Too easy:

Code: Select all

x = 150, y = 150, rule = B3/S2456
6b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
$4b142o$5bo2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2bo$4b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o$bobob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o
2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o
2b3obobo$b4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob
2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4o$
2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o
2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2o
bo2b2o2b2o$2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b
2o10b2o2b2o10b2o2b2o10b2o2b2o$b3o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo
2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b3o$b3o14b2o14b2o
14b2o14b2o14b2o14b2o14b2o14b2o14b3o$2o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o
2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b2o$2o2b3o8b3o2b3o8b3o2b3o8b
3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b2o$b3o14b2o14b2o
14b2o14b2o14b2o14b2o14b2o14b2o14b3o$b3o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o
2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b3o$2o2b2o10b
2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o
10b2o2b2o$2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2o
bo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o
2b2o2bob2obo2b2o2b2o$b4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o
2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o
2b2o2b2ob4o$b3ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob
2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob
3o$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o$b3ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob
2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob
2ob3o2b2o2b3ob3o$b4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o
2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o
2b2ob4o$2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo
2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b
2o2bob2obo2b2o2b2o$2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o
10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o$b3o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o
2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b3o$b3o14b2o
14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b3o$2o2b3o8b3o2b3o8b3o2b3o8b3o2b
3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b2o$2o2b3o8b3o2b3o8b3o
2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b2o$b3o14b2o
14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b3o$b3o2bo8bo2b2o2bo8bo2b2o2bo8bo
2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b3o$2o2b
2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o
2b2o10b2o2b2o$2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2b
ob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo
2b2o2b2o2bob2obo2b2o2b2o$b4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4o
b2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4o
b2o2b2o2b2ob4o$b3ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b
3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b
3ob3o$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o$b3ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b
3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b
3ob2ob3o2b2o2b3ob3o$b4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b
2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b
2o2b2ob4o$2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2o
bo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o
2b2o2bob2obo2b2o2b2o$2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b
2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o$b3o2bo8bo2b2o2bo8bo2b2o2bo8bo2b
2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b3o$b3o14b
2o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b3o$2o2b3o8b3o2b3o8b3o2b3o8b3o
2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b2o$2o2b3o8b3o2b3o8b
3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b2o$b3o14b
2o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b3o$b3o2bo8bo2b2o2bo8bo2b2o2bo
8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b3o$2o
2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b
2o2b2o10b2o2b2o$2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o
2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2o
bo2b2o2b2o2bob2obo2b2o2b2o$b4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob
4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob
4ob2o2b2o2b2ob4o$b3ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o
2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o
2b3ob3o$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$b3ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o
2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o
2b3ob2ob3o2b2o2b3ob3o$b4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o
2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o
2b2o2b2ob4o$2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob
2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b
2o2b2o2bob2obo2b2o2b2o$2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o
2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o$b3o2bo8bo2b2o2bo8bo2b2o2bo8bo
2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b3o$b3o
14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b3o$2o2b3o8b3o2b3o8b3o2b3o8b
3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b2o$2o2b3o8b3o2b3o
8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b2o$b3o
14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b3o$b3o2bo8bo2b2o2bo8bo2b2o
2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b3o
$2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o
10b2o2b2o10b2o2b2o$2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o
2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2b
ob2obo2b2o2b2o2bob2obo2b2o2b2o$b4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o
2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o
2b2ob4ob2o2b2o2b2ob4o$b3ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o
2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o
2b2o2b3ob3o$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$b3ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o
2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o
2b2o2b3ob2ob3o2b2o2b3ob3o$b4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob
4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob
4ob2o2b2o2b2ob4o$2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b
2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob
2obo2b2o2b2o2bob2obo2b2o2b2o$2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b
2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o$b3o2bo8bo2b2o2bo8bo2b
2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b
3o$b3o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b3o$2o2b3o8b3o2b3o8b3o
2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b2o$2o2b3o8b
3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b2o
$b3o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b3o$b3o2bo8bo2b2o2bo8bo
2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo
2b3o$2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o
2b2o10b2o2b2o10b2o2b2o$2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo
2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b
2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o$b4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o
2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o
2b2o2b2ob4ob2o2b2o2b2ob4o$b3ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob
2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob
2ob3o2b2o2b3ob3o$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$b3ob3o2b2o2b3ob2ob3o2b2o2b3ob
2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob
2ob3o2b2o2b3ob2ob3o2b2o2b3ob3o$b4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o
2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o
2b2ob4ob2o2b2o2b2ob4o$2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b
2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o
2bob2obo2b2o2b2o2bob2obo2b2o2b2o$2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b
2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o$b3o2bo8bo2b2o2bo8b
o2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8b
o2b3o$b3o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b3o$2o2b3o8b3o2b3o
8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b2o$2o2b
3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o
2b2o$b3o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b3o$b3o2bo8bo2b2o2bo
8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo
8bo2b3o$2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o
10b2o2b2o10b2o2b2o10b2o2b2o$2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob
2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b
2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o$b4ob2o2b2o2b2ob4ob2o2b2o2b2ob4o
b2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4o
b2o2b2o2b2ob4ob2o2b2o2b2ob4o$b3ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b
3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b
3ob2ob3o2b2o2b3ob3o$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$b3ob3o2b2o2b3ob2ob3o2b2o2b
3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b
3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob3o$b4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b
2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b
2o2b2ob4ob2o2b2o2b2ob4o$2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo
2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b
2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o$2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o
10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o$b3o2bo8bo2b2o2b
o8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2b
o8bo2b3o$b3o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b3o$2o2b3o8b3o2b
3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b2o$2o
2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b
3o2b2o$b3o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b3o$b3o2bo8bo2b2o
2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o
2bo8bo2b3o$2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b
2o10b2o2b2o10b2o2b2o10b2o2b2o$2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2b
ob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo
2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o$b4ob2o2b2o2b2ob4ob2o2b2o2b2ob
4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob
4ob2o2b2o2b2ob4ob2o2b2o2b2ob4o$b3ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o
2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o
2b3ob2ob3o2b2o2b3ob3o$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$b3ob3o2b2o2b3ob2ob3o2b2o
2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o
2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob3o$b4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o
2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o
2b2o2b2ob4ob2o2b2o2b2ob4o$2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2o
bo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o
2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o$2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o
10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o$b3o2bo8bo2b2o2b
o8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2b
o8bo2b3o$b3o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b3o$2o2b3o8b3o2b
3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b2o$2o
2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b
3o2b2o$b3o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b3o$b3o2bo8bo2b2o
2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o
2bo8bo2b3o$2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b
2o10b2o2b2o10b2o2b2o10b2o2b2o$2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2b
ob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo
2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o$b4ob2o2b2o2b2ob4ob2o2b2o2b2ob
4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob
4ob2o2b2o2b2ob4ob2o2b2o2b2ob4o$b3ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o
2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o
2b3ob2ob3o2b2o2b3ob3o$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$b3ob3o2b2o2b3ob2ob3o2b2o
2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o
2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob3o$b4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o
2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o
2b2o2b2ob4ob2o2b2o2b2ob4o$2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2o
bo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o
2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o$2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o
10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o$b3o2bo8bo2b2o2b
o8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2b
o8bo2b3o$b3o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b3o$2o2b3o8b3o2b
3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b2o$2o
2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o8b
3o2b2o$b3o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b2o14b3o$b3o2bo8bo2b2o
2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o2bo8bo2b2o
2bo8bo2b3o$2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b
2o10b2o2b2o10b2o2b2o10b2o2b2o$2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2b
ob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o2bob2obo
2b2o2b2o2bob2obo2b2o2b2o2bob2obo2b2o2b2o$b4ob2o2b2o2b2ob4ob2o2b2o2b2ob
4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob4ob2o2b2o2b2ob
4ob2o2b2o2b2ob4ob2o2b2o2b2ob4o$bobob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o
2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o2b3ob2ob3o2b2o
2b3ob2ob3o2b2o2b3obobo$4b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o$5bo2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2bo$4b142o$6b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o!

And it was actually a p1 search, not a p19 one. So probably it won't be tough to stabilize those 'billiard room' (?) agars.

How wide have you searched? I looked through width 15 asymmetric, and width 29 bilaterally symmetric without any results, but my computer is running slow for some reason, and I'm already running another (totally unrelated) search.

Well, I'm not sure actually how far I was searching (i'll see the ~/.bash_history when it'll be flushed when I close the terminal in which a c/5 diagonal search is running now), but I've told gfind to output the depth at which the search enden, and it was very low all the time (around 20-30, which is not serious, and it wasn't increasing quickly while I was increasing width, so I guess it would be hard to find something here; just a guess).

[Sokwe]

it was actually a p1 search, not a p19 one

Unfortunately, when stabilizing a single rotor, using a p1 search and simply taking some of the stator rows from the agar will give a suboptimal result. This would be fixed somewhat by the ability to set fixed cells in higher period searches, but it seems that if any cell is set as 'fixed', cell-count limits do not work properly. Here is a 124-cell stabilization of this oscillator (this is probably not optimal):

Code: Select all

x = 20, y = 20, rule = B3/S2456
7bob2obo$7b2o2b2o$5bob2o2b2obo$5b2o2b2o2b2o$4b3o2b2o2b3o$2b3o2bob2obo
2b3o$3b2o10b2o$3o2bo8bo2b3o$b2o14b2o$o2b3o8b3o2bo$o2b3o8b3o2bo$b2o14b
2o$3o2bo8bo2b3o$3b2o10b2o$2b3o2bob2obo2b3o$4b3o2b2o2b3o$5b2o2b2o2b2o$
5bob2o2b2obo$7b2o2b2o$7bob2obo!

[ad_ca]

Yeah, now I see what you mean, so you wanted something minimal

P.S. c/5 diagonal:

Code: Select all

x = 31, y = 31, rule = B3/S2456
20bo$20bobo$19bo2bo$19bo2bo$17bob2o$17b3o$14bob2o$15b2obo$12bob2obo9b
3o$11bob2obo$12b2o12bo2b2o$11b4o10b4o$10bo3bo8bobo$8bobo11bob3o$8bo2bo
9bob2o$8b2o12b2o$18b2ob2obo$7b2o10b3o$19b2obo$8bo7bo2bobo$obob2o2bo8b
2o$2ob5o7bo$2bo7b2obob3o$o2bobo3bo3bo$4o5bo$5bobob2o$4bo4b2o$6b2obo$6b
obobo$6bo2bo$6b2ob2o!

[Sokwe]

Yeah, now I see what you mean, so you wanted something minimal.

Yeah, I usually end up trying to find the minimal stabilization when using WLS. I intend to write a program that reduces the stators of known oscillators at some point.

p32 oscillator:

Code: Select all

x = 14, y = 14, rule = B3/S2456
2bo8bo$2b3ob2ob3o$2ob8ob2o$b2ob2o5b2o$b2o7b3o$2bo7b2o$b2o8b2o$b2o8b2o$
2b2o7bo$b3o7b2o$b2o5b2ob2o$2ob8ob2o$2b3ob2ob3o$2bo8bo!

Here are some of the thinnest and shortest spaceships in this rule for different speeds (c/2 (p2, p4, and p8), c/3, and c/4):

Code: Select all

x = 104, y = 80, rule = B3/S2456
4b2o$3bo$3b3o2$3bobo$2bobo$4bo$bo3bo$b2o$3bo$3bobo$3b3o$3b3o$4bo$4bo$
4bo$3b3o$2bo2bo$2bo$3bo2bo$b3o$2b2o$2b2ob2o$2b2obo$b3o2bo$2b3obo2$4b3o
$2bo3bo$4b2o$4b2o$4b3o$3b3o$3bo$2o$b2o$b2o$4o7$3bob2o$3bobo$2b3o$3bobo
$2b2o$2b2ob2o8b2o$2b2obo10bo$b3o2bo8b2obob2o$2b3obo9b2obobo$16b3ob3o$
4b3o8bo4b2o$2bo3bo12bo$4b2o11b2o$4b2o11bo$4b3o$3b3o11bo2bo$3bo12bobobo
$2o13bo5bo$b2o13b6o$b2o12bo4bo$4o13bo2bo$15bob4o$15b2o2bo11bob2obo$15b
obo12bob4obo$15b2o$17bo13bo4bo$17bo2bo12b2o$6bo8b2o3bo12b2o$4b2o14bo
11b4o$4b3o9bo13b2o4b2o30bo12bo3bo4bo2bo4bo3bo$3b3o12bobo10bo4bo44bob2o
6b2o6b2obo$3bo9b2ob3o2bo9bo4bo26bo4bobo12bob3obob2obob3obo$2o12b2o4b3o
9bo2bo27b3ob2obo9b2obo3b3ob2ob3o3bob2o$b2o11b2o2b4o10bo2bo28b2o2b4o8b
2obobo5b2o5bobob2o$b2o10b3ob2o13bo2bo28b2o3b2o10b4obo10bob4o$4o12bo16b
2o28b4o15b2o16b2o!

Also, Here are minimal-width c/4 diagonal spaceship based on diagonal and orthogonal search orders:

Code: Select all

x = 50, y = 36, rule = B3/S2456
31bo$29bo2bobo$32b2obo$28bobo3bo$26bo4bo$25bobo2bo$25b4o$25bo$25bo$24b
o$23bo$23bo2bo$23b3o2$22b2o$22b3o$20bobo26bo$47bobo$18bobo25b2o$16b2ob
o27bo$13bo31b3o$12bo2bo29b2o$9bob2ob2o28b3o$9bobo33bo$7bob3o31b2o$7bo
36bo$7bob2o32bo$6bobo34bo3bo$5bo2b2o33bo2bo$4b5o35b3o$b2o2bo43bo$o3bo
40bo3bo$bo2b2o39bo2b2o$o4bo38bo$bobobo39bobobo$2bobo41bobo!

Here's a 2c/5 orthogonal spaceship:

Code: Select all

x = 22, y = 40, rule = B3/S2456
6bo8bo$4bo12bo$4b4o6b4o$5bo10bo$2bobobobo4bobobobo$3bo3bo6bo3bo$3b2o
12b2o$2b5o8b5o$4bobo8bobo$7bo6bo$7b2o4b2o$4bo2b2o4b2o2bo$3bo14bo$4bo2b
o6bo2bo$bob4o8b4obo$2bobo2bo6bo2bobo$bob5o6b5obo$2bobo2bobo2bobo2bobo$
2bob5ob2ob5obo$4b2ob2ob2ob2ob2o$4o3bo6bo3b4o$2b2obobo6bobob2o$b2ob4o6b
4ob2o$b2o2bob8obo2b2o$b2o3bo2bo2bo2bo3b2o$b5o4b2o4b5o$3b4ob2o2b2ob4o$
5bob2o4b2obo$4b2o2b6o2b2o$8bo4bo$5bo2b2o2b2o2bo$4bobob6obobo$2b2o2bobo
b2obobo2b2o$6bobo4bobo$3b2obo8bob2o$4b2obobo2bobob2o$3b3o4b2o4b3o$5b2o
b2o2b2ob2o$8b6o$10b2o!

I've told gfind to output the depth at which the search enden, and it was very low all the time (around 20-30, which is not serious, and it wasn't increasing quickly while I was increasing width, so I guess it would be hard to find something here; just a guess).

You might be right. I noticed a similar trend when looking for c/3 diagonal spaceships using afind.

[Lewis]

Here's a new P12 (the smallest possible?):

Code: Select all

x = 7, y = 3, rule = B3/S2456
bo3bo$3ob3o$bob2o!

[Axaj]

Here's a new P12 (the smallest possible?):

Code: Select all

x = 7, y = 3, rule = B3/S2456
bo3bo$3ob3o$bob2o!

That oscillator can be extended to an infinite extent (with infinite period):

Code: Select all

x = 27, y = 31, rule = B3/S2456
12bobobobobobobo$13bo3bo3bo3b2o$12bobobobobobobobo8$8bobobobobobobobob
o$9bo3bo3bo3bo3b2o$8bobobobobobobobobobo6$4bobobobobobobobobobobo$5bo
3bo3bo3bo3bo3b2o$4bobobobobobobobobobobobo8$obobobobobobobobobobobobo$
bo3bo3bo3bo3bo3bo3b2o$obobobobobobobobobobobobobo!

[Lewis]

I've began a census of this rule using WinLife32, which is proving difficult due to the large amount of objects. I need to individually add new objects to the results table I'm maintaining in Excel. So far, I've just reached the '1 million total objects' mark, and already the census has revealed 290 different object types.

Nothing of any special interest (infinite-growth objects etc.) have been found, although there have been a few occurrences of the 3c/16 spaceship, some p8 and p12 oscillators and some large still patterns.

[Extrementhusiast]

Smaller variant of one of the p3s:

Code: Select all

x = 8, y = 6, rule = B3/S2456
3b2o$2bo2bo$2bo2bo$8o$bob2obo$2o4b2o!

I'm surprised that this relatively minuscule p4 wasn't included:

Code: Select all

x = 5, y = 3, rule = B3/S2456
2o2bo$o2bo$2o2bo!

New p6:

Code: Select all

x = 7, y = 7, rule = B3/S2456
3b2o$4bo$o3b3o$4obo$2b2o2bo$2bo2bo$4bo!

New (?) p8:

Code: Select all

x = 7, y = 6, rule = B3/S2456
3b2o$4bo$4b3o$2b4o$4o2bo$obo!

[Ntsimp]

I played around with this rule for a while in 1998, and really liked the variety of oscillators. I
didn't have any search programs back then; just used random patterns, loaded regular Life patterns
and saw what they did, and so forth. I found a few nice oscillators that haven't shown up here yet.

My 2 favorite p4 oscillators:

Code: Select all

x = 20, y = 10, rule = B3/S2456
15b2o$12bob2o$3b2o7b7o$2b4o4bobob2obo$3o2b3o2b4o2b3o$3o2b3o3b3o2b4o$2b
4o6bob2obobo$3b2o6b7o$14b2obo$13b2o!

A p6 "billiard table":

Code: Select all

x = 10, y = 12, rule = B3/S2456
3bo2bo$3b4o$2b2o2b2o$3o4b3o$b3o2b3o$bo6bo$3o4b3o$3ob2ob3o$bo2b2o2bo$b
8o$3bo2bo$4b2o!

My 2 symmetric p7s:

Code: Select all

x = 20, y = 8, rule = B3/S2456
2o3b2o8b2o$2o3b2o7bo2bo$7o5b8o$bobobo7b2o2b2o$7o6bob2obo$2o3b2o5b2o4b
2o$2o3b2o5b2o4b2o$13b2o2b2o!

A p8:

Code: Select all

x = 6, y = 6, rule = B3/S2456
3b2o$2b4o$bobo$4o$2o$bo!

A p9:

Code: Select all

x = 12, y = 4, rule = B3/S2456
o10bo$4ob2ob4o$2b8o$2bo2b2o2bo!

A p12 with a big spark:

Code: Select all

x = 8, y = 8, rule = B3/S2456
2bo2bo2$2b4o3$3o2b3o$b6o$bob2obo!

[Lewis]

I'm still maintaining a census of this rule. So far I've found close to 400 object types, and a total of about 2,300,000 objects have been counted fully. I'll post the results on here when I find a nice way to display them.
How are censuses in other rules shown, when there are no names for objects?

[Extrementhusiast]

Censuses in other rules are typically displayed as something like P57.23 (I think).

[Ntsimp]

Here's a p19:

Code: Select all

x = 12, y = 12, rule = B3/S2456
2bobob3o$2b6o$b2obobobo$obobo2b3obo$ob2o2b3ob2o$bob5ob3o$3b2obo3bo$2b
2ob2ob4o$4b4o2bo$4bo2b5o$6bo2bo$7b2o!

And here's a "pseudo-p85". Can anyone figure out how to stabilize the p5 end of it, making a p17?

Code: Select all

x = 14, y = 14, rule = B3/S2456
11bo$6b6o$3b3o3bob3o$2bob2ob6o$2b2ob4o2b2o$2b3obo2bo$bo2b2o$bob2o$bob
2o$b3obo$bobo$5o$2b3o$2bo!

[Ntsimp]

I don't know why I didn't think of this sooner. Back-to-back copies can stabilize each other. So here's a real p17:

Code: Select all

x = 18, y = 18, rule = B3/S2456
11bo$6b6o$3b3o3bob3o$2bob2ob6o$2b2ob4o2b2o2bo$2b3obobo4b3o$bo2b2o7b5o$
bob2o9bobo$bob3o8b3o$b3o8b3obo$bobo9b2obo$5o7b2o2bo$2b3o4bobob3o$2bo2b
2o2b4ob2o$5b6ob2obo$4b3obo3b3o$6b6o$6bo!

[Extrementhusiast]

Same size, but only one rotor and also less population:

Code: Select all

x = 18, y = 18, rule = B3/S2456
11bo$6b6o$3b3o3bob3o$2bob2ob6o$2b2ob4o2b2o$2b3obobo4b2o$bo2b2o7b4o$bob
2o9bo2bo$bob3o8bobo$b3o11bo$bobo$5o$2b3o$2bo2b2o$5b4o$6bo2bo$6bobo$7bo
!

[Lewis]

Bumping a really old topic, but is this a new c/3 orthogonal ship in this rule? In terms of population I think it's the smallest yet (48 cells):

Code: Select all

x = 32, y = 30, rule = B3/S2456
2bobo$b4ob2o$b3o$bo3b3obo$7bo$6o3bo$6o3bo$7bo$bo3b3obo$b3o$b4ob2o$2bob
o5$17bo$2bobo11b3o6bo$b4ob2o8b3o5bo2bo$b3o9bobo5b2obo2bo$bo3b3obo2b3o
2bobobo4b2obo$7bo4b3obobob2o3bo2b2o$6o3bo2bo2bo3b3obob3o2b2o$6o3bo2bo
2bo3b3obob3o2b2o$7bo4b3obobob2o3bo2b2o$bo3b3obo2b3o2bobobo4b2obo$b3o9b
obo5b2obo2bo$b4ob2o8b3o5bo2bo$2bobo11b3o6bo$17bo!

EDIT: Noticed that the 'tagalong' in the second ship is in fact a ship in its own right.

EDIT: Also a c/4 Diagonal (Since this rule seems to have lots of objects in it, I'm using it to practice using WLS properly):

Code: Select all

x = 26, y = 26, rule = B3/S2456
2bo3bo$bob2ob3o$o5b3o$bo$bo2bo3bo2bo$9b2o$3o7bobob2o$b2o4bo6bobo$b2obo
3b2o2b2ob2o$5bo2b2ob3obo$5b2o3bo3bo$4bo4bob3o5b3o$6bob2ob2obo2bo2b2o$
8b2obo2b5o$6b2o2bob2ob2ob2o$6bob2o3b4o2bo$7b2o4b4o2b2ob3o$12b2o11bo$
13b2o5bobo$11bo2b3o7bo$11b2o3bobo3b2o$11b2o9bo$16bobob2o$16bo3bo$16bo
2bo$17bo!

[Lewis]

New (smallest known?) c/5 orthogonal ship?

Code: Select all

x = 26, y = 13, rule = B3/S2456
3o13b2o$2bo7bo6b3ob3o$bo2b2ob2obobo3b3o6bo$b2o2b2o2bo5bo4bo2b3o$2bo6b
12o3b2o$2b3o4b13o2b2o$20b2o$2b3o4b13o2b2o$2bo6b12o3b2o$b2o2b2o2bo5bo4b
o2b3o$bo2b2ob2obobo3b3o6bo$2bo7bo6b3ob3o$3o13b2o!

And a new c/4 diagonal:

Code: Select all

x = 18, y = 18, rule = B3/S2456
5bo$5b2o$8b2o$7bobo$8bo3bo$2o8b2o$bo9b2obo$3bo6bob2o$2bobo6bob3o$2b2o
9b2o$5bobo4bo2bo$5b2obo3b2o$4bob2o2b2o2b2obo$7b3obo4bo$6bob2o2bo3bo$8b
obobo4bo$13b2obo$12bo2bo!

Some c/2 ships of periods 4 and 8 with glide-reflective symmetry:

Code: Select all

x = 54, y = 45, rule = B3/S2456
$38bo3bo$22bo4bo8bob6o$bobobo3bo3bo6bobob5o7b8o$20bo4b4o5b3o5bo$bo3bo
3bo3bo7bobobobo10bo$19b2o2bo17bo$bobobo3bobobo7bobobo11bo2b2o$23b3o13b
3o$bo11bo6b2o2bo2bo10b4o$19bob2obob3o10b2o$bo11bo6bob7o6b3o4bo$21b2o4b
o7b9o$37bob5o$42bo5$32bo$bobobo3bobobo17b5ob2o5b2o$29b2o7b2o2bobobo$bo
3bo3bo3bo9bo2b3o4bo3bob5obo4bo$22bobobo3b2o5b2o2b2o3b6o$bobobo3bobobo
13b3obobo2bo2b2o2b2obob4o$27bo2b4obob5o3bobo2bo$bo7bo3bo13bobo4b4o4bo$
28b2o5bo2bo2bobo$bo7bobobo28bo4$35b2o10bo$34bob3o8b2o$24bob2o5bobobob
4obo2bobo$23bo5bo3bob7ob2obo2b2o$20b2ob2o3bobobobobobobo11bo$20b3ob2o
6b3ob2o2b3o3b7o$19bo2bobo2bo2bobob3o3b3o3b7o$21b2ob6o4bobobobo11bo$23b
obob3o4b8ob2obo2b2o$26bobobo4bobob4obo2bobo$32bo4b2o8b2o$47bo!

[Naszvadi]

Left: c/2, c/3, c/4, c/5, c/6; separated with vertical dotted line on the right: extracted from glider.db (D. Eppstein, the last one by Jason Summers, 1999):

Code: Select all

x = 254, y = 79, rule = B3/S2456
4b2o18bo18b2o18b2o3b2o12bo7bo9bo9b4o18b2ob2o17b2o17b2o23b6o41b4obo$3b
4o17b3o15bo2bo16b3o3b3o10bobo5bobo19b2o17bo2bobo2bo14b4o14b2o2b2o20b3o
2b3o35b2ob2obob2obo$4b2o15b2o4bo14bo2bo17b2o3b2o10bo3bo3bo3bo7bo10b2o
18b7o16b2o15b6o21b2o2b2o37b3o2bo2b4o$4b2o14b3obo3bo13bo2bo17bo5bo12bo
2bobo2bo19b4o17bo2bo2bo16b2o14b3o2b3o20bo4bo35bo2bobo7bo$6bo13bo3b2o
15bo4bo13b2o4bo4b2o9bo7bo9bo9bo2bo17b2o3b2o18bo14b6o21bo4bo34bo2bo9b2o
$3b2o16bo2b2obo13bo4bo15bo2b3o2bo12b2o3b2o20bo2bo19bobo17b2o39b4o6b4o
30bobo10bo$3o20bo16b2o4b2o14b4ob4o29bo9bo2bo36b3o18bob2obo18b2o8b2o33b
o11b2o$b2o22bo16b4o15bo2b2ob2o2bo10bo2bobo2bo19b4o37b2o20b2o19b2ob2o4b
2ob2o29b2o3bo8bobo$bo22b2o17b2o16b2ob2ob2ob2o9b4o3b4o8bo50bo21b2o23bo
4bo31bo2b2o2bobo7bo$bo22bobo16b2o16b2ob2ob2ob2o10bobo3bobo60bo21b2o17b
2o4bo4bo4b2o24bo3bobo2b2o$25bo15b2o3bo13bo3b2ob2o3bo7b3ob2ob2ob3o7bo
70bo4bo14b2o16b2o27bobob2obo3b3o$23b3o16b2o19b3ob3o11b2ob2ob2ob2o79b6o
13b2o2b2o10b2o2b2o20b3obo3bobobo2b3obo$20b2o19bobo20bo3bo11b3ob2ob2ob
3o7bo69bo2b2o2bo15b4o8b4o24bo3b3o7b2ob2o$21bo2bo16b3o19bobobobo12b4ob
4o103b2o10b2o30bob3o4b2obo$22bo19bo19b3o3b3o13bo3bo11bo93b2o10b2o23b2o
bo6b2ob2o3bo$23bobo15bobo19b2o3b2o13bo2bo2bo106bo8bo24bo2bo5bo6b2o$20b
o4bo56b4ob4o9bo93b2ob2o4b2ob2o20bo3bo10b2ob2o$20b2ob2o16b3o20bobobo
125b2o10b2o19bobobo10b2o$19bo2b2obo15bob2o17bo2b3o2bo12b7o10bo93b3obo
4bob3o21bobo10bo$23b2ob2o35bobobobo13b2obob2o107b3o2b3o23bo10b2obo$25b
3o15bo19bobobobo14b2ob2o11bo93b2o10b2o17b5o7bobo2bo$25bo20bo16b2o3b2o
13b2obob2o104b2o10b2o17b2o2bo8b2o$23bobo17bob2o18bobo14bo7bo9bo93bo12b
o16b2o2bo5b3obobo$22b2o2bo18bobo14bob2ob2obo10b4o3b4o102b2o10b2o15b2ob
o9bo$24bob2o15bo3bo14bo7bo12b2o3b2o10bo93bobo8bobo13b3obo6bo2bobo$21bo
bo2bobo12bob3o16bobo3bobo12bo5bo103b2o2b2o4b2o2b2o15bo6b2obobo$21b3o4b
o13b2o18bo7bo29bo92b2obobo4bobob2o11bob2o6bobo$21bo5bo164b3o12b3o10bo
8bob3o$23b2o17bo20bo5bo30bo93bo4b4o4bo13bo8b2o$22bo3bo15bobo18b3ob3o
123bo2bo8bo2bo19b3o$21b3o2bo16bo22bo33bo92bobo10bobo19b2o$27bo13b3o20b
obobo122b2o4bo6bo4b2o14b3obo$19bob2o2bobo14b3o17bob5obo29bo92bob3o6b3o
bo16b2o$21bobob2o15bo2bo16bo2b3o2bo127bo4bo$24bo18bo19bob3obo30bo$21bo
2b3o17b3o16bo5bo$25bobo16bobo14b4o3b4o28bo$22b4o2bo16bo14bo2bobobobo2b
o$27bo15b3o14bo2bo5bo2bo27bo$23bo2bobo15bo16bo3bobo3bo$25b2o17bo18bo5b
o30bo$25bo17bo16bob2o5b2obo$26b2o13bo2bo16bo9bo28bo$41b3obo15b2o7b2o$
41bob3o15b2o7b2o28bo$42b2o2bo$100bo$42b2ob2o$42bobo55bo$42b2o$45bo54bo
$43b2ob2o$44bo55bo$42b3o$42bobo55bo2$40b2obo56bo$40bo$100bo$41bobo$42b
ob3o53bo$43b2o2bo$43bo2bo53bo$44b2o$45b2o53bo$45bo$100bo2$100bo2$100bo
2$100bo2$100bo2$100bo2$100bo!

[yujh]

So lucky I’ve got this by hand today!

Code: Select all

x=0,y=0,rule=B3/S2456
b5o$7o$b2ob2o!

3c/16. Appeared in my 1600*1200 soup(didn’t escape)Known,but it appeared in the first soup I searched.Neat spaceship that worse to be double posted.

[LaundryPizza03]

So lucky I’ve got this by hand today!

Code: Select all

x=0,y=0,rule=B3/S2456
b5o$7o$b2ob2o!

3c/16. Appeared in my 1600*1200 soup(didn’t escape)Known,but it appeared in the first soup I searched.Neat spaceship that worse to be double posted.

Too late.

[yujh]

So lucky I’ve got this by hand today!

Code: Select all

x=0,y=0,rule=B3/S2456
b5o$7o$b2ob2o!

3c/16. Appeared in my 1600*1200 soup(didn’t escape)Known,but it appeared in the first soup I searched.Neat spaceship that worse to be double posted.

Too late.

Yes.Sorry to everybody.