b3/s34

[tommyaweosme]

I actually made a whole document about it at https://docs.google.com/document/d/1FRI ... sp=sharing .

[confocaloid]

https://catagolue.hatsya.com/census/b3s34 It appears that no-one has yet apgsearched the D4_x1 symmetry.

(2,1)c/5 partials in B3/S34:

Code: Select all

x = 151, y = 19, rule = B3/S34
22bo38bo40bo39bo$20b3obo2b2o30b3obobo34b3obo2b2o31b3obo2b2o$11b3o5b2o
2bobob3o28b2o2bob4o31b2o2bobob3o29b2o2bobob3o$10b2obobob2ob2ob4o3bo25b
2ob2obo4b2o28b2ob2o2b3o3bo26b2ob2o2b3o3bo$7b2ob2o2b3ob3obo3b2o27b6obo
3b2obo26b6obo2b2o28b6obo2b2o$7b3o2bobo4bo2bo31bo3bo2b3o4bo26bo3bo3b4ob
o26bo3bo3b4obo$6bo14b4o28b4obo3bob4ob2o23b4obo6bo27b4obo6bo$4b2o2bo3b
3o2bo4bobo27b2ob2o6b3obo25b2ob2o8bo26b2ob2o8bo$4b2o2bobobo2b6o42b4o2b
2o28bo39bo$4bobo5b2o2bobobobo31b2ob2obo2bob2o27b2o7b2obo27b2o8b2o$8bob
ob2o38b2o4bo2b3o4bo22bo2bob3o4b2obo24bo2bob3o4b2o$5bo2b2o3bobobo3bo29b
3o5b3o3b2obo21b3ob4o8bo23b3ob4o5bo$b4o2bo2b2obo4bobo29b2ob2o5bobobo25b
o3bobo6b3obo22bo3bobo7bo$ob3o5bo6bo30b2ob2ob2o5bo3bo25bob2o3b5o3bo24bo
b2obob7o$48b2o3bob3o7bob2o23b2o5b2o2bo28bo3bo4bo$50b2ob2ob2ob3o3b3o21b
2o2b5o5b2obo19b5obob2obob4o$48bo10b2o5b2o20b2o2b2ob2o5bo2bo18b4o2bo7b
2o$49bobo4bo2b2o26b3o2b2o4bo2bobob2o15b2obo4bo2bo4bo$86b2o5b2o7bo!

Here's a 2c/5 orthogonal spaceship in B3/S34 that I found using LSSS, first known 2c/5 orthogonal spaceship in rules B3(678)/S34(78):

Code: Select all

x = 28, y = 55, rule = B3/S34
13b2o$13b2o$3bo4b4o4b4o4bo$2b4o3bo3b2o3bo3b4o$b2o2bob3ob6ob3obo2b2o$4b
ob2o3bo4bo3b2obo$5bo2bob2o4b2obo2bo$2b2o2b2ob3o4b3ob2o2b2o$3bo9b2o9bo$
5b2o2bo3b2o3bo2b2o$6bo2bobob2obobo2bo$7b4obo2bob4o$7bo2bobo2bobo2bo$6b
o3bobo2bobo3bo$5bob2obobo2bobob2obo$4bobo3bobo2bobo3bobo$6b4obo4bob4o$
5b2o2b2obo2bob2o2b2o$7bo2bob4obo2bo$6b2ob2o2b2o2b2ob2o$9b3o4b3o$5bo4bo
6bo4bo$4b3o14b3o$3b2obo14bob2o$3bobo16bobo$4bo2bo12bo2bo$5bobo12bobo$
3b2o18b2o$7b3o8b3o$4bo3b2o8b2o3bo$5bo3b2ob4ob2o3bo$5b2obo3bo2bo3bob2o$
3bobo2b4o4b4o2bobo$2b4o16b4o$2bo4b2obo6bob2o4bo$2b4obo2bo6bo2bob4o$4bo
bob4o4b4obobo$12bo2bo$5bo4b2o4b2o4bo$4b2o4bo6bo4b2o$3b2obo14bob2o$6b3o
10b3o$3bo2b2o12b2o2bo$4bo2bo12bo2bo$3bo20bo$3bo20bo$4bob2o12b2obo$2b6o
12b6o$2b2o3bo12bo3b2o$2o5bo4b4o4bo5b2o$2bo8b2o2b2o8bo$9b2o6b2o$8bobo6b
obo$8b2obob2obob2o$6b2o2bo6bo2b2o!

3 other speeds (c/5o, c/4d, c/5d):

Code: Select all

x = 121, y = 59, rule = B3/S34
64b2o$62b2o2bo$61b2o3b2o28bo$61b2o3b2o26b2ob2o$62bo2bo28bo3bo$58b2o3bo
bo27b2o2bo$57b4o33bo4b3o$4bo7bo44bo3bo32bo3b2obo$2b5o3b5o41bo33bo3bo3b
o2bo$bo5bobo5bo40bo3b2o26b6o2bo$bo5bobo5bo41b3o28bo12bo2bo$b2obob2ob2o
bob2o42b2o27bo6bo6b3o$4bo7bo75bobo11bo2bo$5bo5bo76b2o2b2o8b3o$91b2o10b
2ob2o$4b2o5b2o78bo13b4o$2bo4bobo4bo76b3ob2o8bo4bo$3bo2bo3bo2bo82b3o7bo
bo2b2o$3b4o3b4o82bob2o9bo2bo$95bo2b2o11bo$4b2o5b2o84bo2b2o9b3o$2bo2bo
5bo2bo84b2obo10b4o$6bo3bo88b2o11bob3o$2ob3o5b3ob2o83bobo13b2o$2bo2bo5b
o2bo88bo12bo$2bo4b3o4bo86bo14bo$2bobob5obobo87bob2o10bobo$b2o3bo3bo3b
2o86b2obobo7b2obo$b2ob3o3b3ob2o89b2o9bo2bo$2bobo2bobo2bobo91b2o11bo$b
2o3bobobo3b2o90b2o4bo4bo2bo$106b8o5b2o$3o3b5o3b3o91bo6bo4bo$b3o9b3o95b
2o$b2o2bo5bo2b2o97b2obo$4bo7bo102b3o$2bo2bo5bo2bo$5bo5bo$4b2o5b2o$3bo
9bo$3b2o7b2o2$4bo7bo$4bo7bo$4bobo3bobo$4b2o5b2o$6b2ob2o$6b2ob2o$4b2o5b
2o$4bo7bo$3b2o2bobo2b2o$4bo2bobo2bo$3b2o2bobo2b2o$3bobobobobobo$3bo3bo
bo3bo$4bobo3bobo$2bo3bo3bo3bo$3b2o7b2o$2bo11bo!

Are these known? I couldn't find these in GliderDB. (All found using rlifesrc)

B3/S34

2c/6d

Code: Select all

x = 11, y = 10, rule = B3/S34
5bo$4b3o$4bo$5bo$b2o2bob2o$2ob2ob4o$bo3bo2b2o$6b2ob2o$6b3o$5b2o!

2c/6o which is a known c/3o with a tagalong

Code: Select all

x = 9, y = 34, rule = B3/S34
3bo$b4ob2o$bo3bob2o$o2bobo$4bobo$b4o$5b2o$2b2o$b5o$3o$2bo$2bo$b3o$4o$
bo$bobo$o$3bo$2o$2bo2$3b2o$2b4o$2bob2o$2b2o2b2o$3bobobo$2b2o$4bo$b3o$
4b2o$2b2obo$4bo$b4o$3bo!

[H. H. P. M. P. Cole]

I actually made a whole document about it at https://docs.google.com/document/d/1FRI ... sp=sharing .

Welcome to the forums, tommyawesome!

Generally, most of the 'interesting' outer-totalistic rules can be found on the LifeWiki.

To me, B3/S34, though it doesn't have an article in the LifeWiki, is interesting to me simply because it was one of the first ever CA that I investigated. I found the same objects as you, but gave them different names.

I originally called the three 4-cell p2s 'block', 'reflector', and 'tripod' (guess which is which), and the p16 'hexadecimal'. (Sidenote: it was this CA that spurred me on to create this game.)

Here's my advice to you (and all newbies to CA) on which sites to go to find out whether a pattern you discovered is new.
- The LifeWiki. Most notable patterns in Conway's Life can be found here. It is a common misconception that large still-lifes or p2s can be found in the LifeWiki. They are usually not there unless they have an interesting property (e.g., for catalyses).
- Catagolue. Here is the link for B3/S34. Click on each of the links to find known objects in the rule. The characters after the rulestring are called the symmetry.
- gliderdb-searcher. This only works on outer-totalistic rules. Enter B3/S34 in the rule box, check 'Ignore Velocity', and you will find known spaceships in this rule.
- And, of course, the forums. Generally, post questions you have in Thread for non-CGOL basic questions when the question is not about Life. Otherwise, post in Thread for basic questions.

Here are some things to do to find new patterns:
- Install Golly. It is one of the best cellular automaton software around, and can, of course, simulate B3/S34. Also try using nbsearch2a, if you want to find new oscillators.
- Use rlifesrc. It is an online program that can help you find SLs, oscillators, and spaceships in any OT (outer-totalistic) or INT (isotropic non-totalistic) rule.

I hope this helps!

2c/6d

Code: Select all

x = 11, y = 10, rule = B3/S34
5bo$4b3o$4bo$5bo$b2o2bob2o$2ob2ob4o$bo3bo2b2o$6b2ob2o$6b3o$5b2o!

2c/6o which is a known c/3o with a tagalong

Code: Select all

x = 9, y = 34, rule = B3/S34
3bo$b4ob2o$bo3bob2o$o2bobo$4bobo$b4o$5b2o$2b2o$b5o$3o$2bo$2bo$b3o$4o$
bo$bobo$o$3bo$2o$2bo2$3b2o$2b4o$2bob2o$2b2o2b2o$3bobobo$2b2o$4bo$b3o$
4b2o$2b2obo$4bo$b4o$3bo!

Still, are these known? If not, can someone add them to GliderDB?

[Haycat2009]

Most B3 interesting outer totalistic rules are already known, and this is quite stable. While there may be many things to find, searching is going to be a puzzle.