## Search found 738 matches

July 1st, 2019, 6:19 pm
Forum: The Sandbox
Topic: Find a non-explosive B1e rule WHERE LINEAR GROWTH IS RARE
Replies: 48
Views: 4985

### Re: Find a non-explosive B1e rule WHERE LINEAR GROWTH IS RARE

Some synthesis: x = 145, y = 36, rule = B1e2-an3ejkry4cjkrw5ceny6c7c/S2i3cknqy4cknqty5ej6ce 7\$88b2o\$87bobo\$88b2o\$36b2o18b2o\$35bobo17bobo\$18b2o16b2o18b2o\$2b2o13bob o15b2o18b2o21b2o25b2o\$bobo14b2o15bobo17bobo19bobo25bobo\$2b2o13b2o3b2o 11b2o18b2o21b2o25b2o\$b2o14bobobobo8b2o18bo16b2o18b2o19b2o\$bobo13b2o...
June 30th, 2019, 5:21 pm
Forum: Other Cellular Automata
Topic: Rules with small adjustable spaceships
Replies: 99
Views: 54283

### Re: Rules with small adjustable spaceships

A rule which has adjustable ships for all speeds c/n for n>8. I think the first rule of this kind. Maybe there is a relative rule (keeping the three reflecting elements) which allows for all c/n speeds. however c/2 seems to be tricky. x = 204, y = 92, rule = B2akn3cn4ijnrw5cij6a8/S1c2-ak3ceiy4acenw5...
June 26th, 2019, 6:57 pm
Forum: Other Cellular Automata
Topic: Miscellaneous Discoveries in Other Cellular Automata
Replies: 1561
Views: 311916

### Re: Miscellaneous Discoveries in Other Cellular Automata

A relatively stable B2a rule, with small ships, reflectors and guns: x = 129, y = 96, rule = B2a3ry4iw5a6k8/S1c2k3ei4ent5ar8 39b2o2\$39b2o\$38bo\$35b2o2bo\$38b3o\$35b2o2bo2\$39bo\$38b3o\$39bo2\$34bo4bo\$ 35bo2b3o\$39bo2\$39bo\$38b3o\$39bo2\$39bo\$38b3o\$39bo2\$39bo\$38b3o\$39bo6\$39b 2o2\$40bo4\$61bo\$60b3o\$2o5b2o5b2o4b2o3...
June 25th, 2019, 9:25 pm
Forum: Other Cellular Automata
Topic: Seeds
Replies: 38
Views: 19937

### Re: Seeds

A push reaction:

Code: Select all

``````x = 25, y = 28, rule = B2/S
8\$13bo\$14bo3\$10bo6bo\$9bobo6bo\$10bo\$10bo2bo\$10b3obo\$8bo4bo\$9bo!
``````
June 22nd, 2019, 5:52 pm
Forum: Other Cellular Automata
Topic: Smallest long-lived methuselahs
Replies: 67
Views: 14046

### Re: Smallest long-lived methuselahs

toroidalet wrote:MCPS=1, L=67:

Code: Select all

``````x = 1, y = 1, rule = B1e2i3k4acw5y7e8/S12-e3jry4artw5y6c
o!
``````
Great!

@ jimmyChen2013, as mentioned in the first post, no infinite growth pattern are allowed.
June 18th, 2019, 6:09 pm
Forum: The Sandbox
Topic: Minimal rotor challenge
Replies: 1
Views: 812

### Minimal rotor challenge

The rules: - post an oscillator with minimal rotor size, i.e. for period p the rotor size is ceiling(log_2(p)). - only the successor period p of the actual record is allowed to be posted (e.g. if actual record is p=4, only post p=5) - allowed rule space: isotropic non-totalistic Life-like cellular a...
June 17th, 2019, 8:46 pm
Forum: Other Cellular Automata
Topic: Miscellaneous Discoveries in Other Cellular Automata
Replies: 1561
Views: 311916

### Re: Miscellaneous Discoveries in Other Cellular Automata

A rule without any S-transition: x = 155, y = 185, rule = B2cek3cijry4ajqtwz5678/S 12\$114bo\$80b2o9b2o21bo26bo\$17bo94bo3bo22bo3b2o\$15bo3bo60b3o7b3o15bobob 2ob2obobo21bobo\$15bobobo59bo13bo17b3ob3o19bo\$16bobo61b4o5b4o15bo4bobo 4bo21bobobo\$110b2o2bo2b2o17bo5bo3bobo\$17bo64b2o5b2o47bob3obobo\$109bobo 2bo2b...
June 14th, 2019, 2:45 pm
Forum: Other Cellular Automata
Topic: Non-explosive B2a rules
Replies: 19
Views: 4289

### Re: Non-explosive B2a rules

One of the B2a rules with a pseudosymmetry census is B2an3ekr4i7c/S1c2ci3iqy4-a5678 . The pseudo-symmetry is called ee9-test. I don't know if the modified hashsoup has been published, but the soups appear to all look like this: x = 22, y = 22, rule = B2an3ekr4i7c/S1c2ci3iqy4-a5678 bo18bo\$ob18obo\$bo...
June 13th, 2019, 3:00 pm
Forum: Other Cellular Automata
Topic: Whichlife (B2in3aeijn/S234e)
Replies: 58
Views: 10601

### Re: Whichlife (B2in3aeijn/S234e)

Some small ships: x = 44, y = 73, rule = B2in3aeijn/S234e 4\$14bo\$13bobo2\$13b3o\$9bo3bo\$9b2o2bo3bobo\$6bo3bo2bo3bo2bo\$4b2o6bob4obo\$ 5b2o6bo2\$14b2o\$15b2o3\$12bobo\$12b2o\$13bo6b2o\$22bo\$20b2o\$19bo3bo\$17bo4bo \$16bo5b3o\$16b3o6\$23bobo\$24bo2bo\$24bo2b2o\$20bobo3b3o\$20b2o5b2o\$21bo\$23b obo\$23b2o\$24bo\$31b3o\$31b3o\$32...
June 13th, 2019, 1:29 pm
Forum: Other Cellular Automata
Topic: Smallest long-lived methuselahs
Replies: 67
Views: 14046

### Re: Smallest long-lived methuselahs

New record for MCP=2:

Code: Select all

``````x = 2, y = 1, rule = B2ac3nq4aiy5aci7e8/S13kr4ceit7e
2o!
``````
L=92
June 11th, 2019, 7:24 pm
Forum: Other Cellular Automata
Topic: Soup search results in rules other than Conway's Life
Replies: 311
Views: 154990

### Re: Soup search results in rules other than Conway's Life

A gun principle that works for arbitrary large ships. Here a p31 version: x = 81, y = 55, rule = B2an3ekr4i7c/S1c2ci3iqy4-a5678 7\$64bo\$63b3o\$64bo4bo\$52bo10bo4b3o\$51bo12bo4bo\$68b3o\$69bo\$61bobobo2bo\$ 60bob3o\$61bobo2\$bo\$3o51bobo\$bobo13bo36bo13bobo\$15bobo51b3o\$49b2o19bo\$ 75bo\$8bobo39bo23b3o\$7b3obo47bo13...
June 11th, 2019, 5:55 pm
Forum: Patterns
Topic: Systematic survey of small patterns
Replies: 42
Views: 32520

### Re: Systematic survey of small patterns

Sarp wrote:
NickGotts wrote: ... the only 8-cell patterns producing a pentadecathlon produce nothing else).
Are you sure?

Code: Select all

``````x = 8, y = 6, rule = B3/S23
7bo\$6b2o\$2o\$o\$o\$bo!
``````
I think he is. The only 8-cell pattern which produces only(!) the PD.
June 11th, 2019, 4:53 pm
Forum: Other Cellular Automata
Topic: Rules with interesting dynamics
Replies: 521
Views: 140727

### Re: Rules with interesting dynamics

Can someone LITERALLY COMMENT on this rule and not ignore it like EVERY ONE OF MY RULES Moving objects: x = 94, y = 22, rule = B2e3eij4ak/S1c2-an3an5i 4\$8bo16bo18bo42bo\$6b2ob2o12b2ob2o14b2ob2o41bo\$6bo3bo12bo3bo14bo3bo42bo \$2b3o7b3o4b3o7b3o6b3o7b3o8bo25b2o\$2bo2bo5bo2bo3bobobo5bobobo4bobobo5bo bobo5b...
June 11th, 2019, 4:37 pm
Forum: Other Cellular Automata
Topic: Rules with interesting dynamics
Replies: 521
Views: 140727

### Re: Rules with interesting dynamics

A B2a rule with some nice features: x = 40, y = 32, rule = B2a3jr4eyz5cn6ac7e/S1c2cei3ciy4-cjqwz5aejry6aek7c 3\$16bo2\$16b2o6\$6bo21bo\$7bo19bo2\$16bo2\$16b2o\$35bo\$36bo\$15bobo11bo\$16b3o 9bo\$15bobo4\$7bo\$8bobo\$8bobo\$7bo3bo! It is a stable rule, in the sense that in a box a random soup settles down: x = 59, ...
June 11th, 2019, 3:58 am
Forum: Other Cellular Automata
Topic: Symmetristic (Rule String Too Long; See Post For It)
Replies: 18
Views: 2895

### Re: Symmetristic (Rule String Too Long; See Post For It)

ship collection: x = 281, y = 412, rule = B2-ak3-jnqr4ceiqtwz5-jnqr6-ak/S2-ak3-jnqr4ceiqtwz5-jnqr6-ak 3bo6bo23bo2bo\$2b3o4b3o19b2o2b2o2b2o19bo7bo41bo\$3bo6bo20b2obo2bob2o19bo 7bo19b2o20bo49b2o\$3bo6bo18b4ob4ob4o15b5o3b5o17b2o19b3o47bobo\$2b3o4b3o 22bo2bo22bo2b3o2bo19b2o20bo49bob4o\$2b3o4b3o15b3o5b2o5b3o1...
June 10th, 2019, 4:47 pm
Forum: Other Cellular Automata
Topic: Soup search results in rules other than Conway's Life
Replies: 311
Views: 154990

### Re: Soup search results in rules other than Conway's Life

Now that's a nice rule Yes, not too bad, still, the x (I mean the +) in indestructible. However, adding B7c makes it destructible (even in a slow salvo): x = 16, y = 50, rule = B2an3ekr4i7c/S1c2ci3iqy4-a5678 10\$11bo\$10b3o\$11bo6\$13b2o2\$14bo11\$8b2o2\$9bo! while preserving most of the properties, esp. ...
June 10th, 2019, 1:24 pm
Forum: Other Cellular Automata
Topic: Symmetristic (Rule String Too Long; See Post For It)
Replies: 18
Views: 2895

### Re: Symmetristic (Rule String Too Long; See Post For It)

A c/7 and a c/3 diagonal: x = 69, y = 52, rule = B2-ak3-jnqr4ceiqtwz5-jnqr6-ak/S2-ak3-jnqr4ceiqtwz5-jnqr6-ak 3\$7bo\$7bo49b2o\$6b3o47bobo\$7bo49bob4o\$6bobo48bo2b3o\$3bo2b3o2bo43bobob4o \$4b2obob2o48b2obo\$4bob3obo41b4o2bo4b2o\$7bo49bo2b3obo\$6b3o32bob4o3b4o2b o6bo\$4b2obob2o32b4o2bo4bo3bobo\$7bo31bo5bob2o4b3o2...
June 10th, 2019, 7:15 am
Forum: Other Cellular Automata
Topic: Symmetristic (Rule String Too Long; See Post For It)
Replies: 18
Views: 2895

### Re: Symmetristic (Rule String Too Long; See Post For It)

Some ships (c/2,c/3,c/4,c/5): x = 96, y = 37, rule = B2-ak3-jnqr4ceiqtwz5-jnqr6-ak/S2-ak3-jnqr4ceiqtwz5-jnqr6-ak 3bo6bo23bo2bo\$2b3o4b3o19b2o2b2o2b2o19bo7bo\$3bo6bo20b2obo2bob2o19bo7bo 19b2o\$3bo6bo18b4ob4ob4o15b5o3b5o17b2o\$2b3o4b3o22bo2bo22bo2b3o2bo19b2o\$ 2b3o4b3o15b3o5b2o5b3o14bo4bo4bo\$2b3o4b3o14bo4b...
June 8th, 2019, 4:32 pm
Forum: Other Cellular Automata
Topic: Soup search results in rules other than Conway's Life
Replies: 311
Views: 154990

### Re: Soup search results in rules other than Conway's Life

Somehow I like B2an3ekr4i/S1c2ci3iqy4-a5678. Here is a splitter with minimal repeat time of 33: x = 14, y = 41, rule = B2an3ekr4i/S1c2ci3iqy4-a5678 11bo\$2bo7b3o\$b3o7b3o\$2bo9bo2\$5b2o\$bo\$3o3bo\$bo\$11bo\$10b3o\$11bo27\$5b2o2\$ 6bo! An application for a p73 gun: x = 27, y = 19, rule = B2an3ekr4i/S1c2ci3iqy4-...
June 8th, 2019, 5:30 am
Forum: Other Cellular Automata
Topic: Soup search results in rules other than Conway's Life
Replies: 311
Views: 154990

### Re: Soup search results in rules other than Conway's Life

I implemented a pseudo-symmetry for fast B2a-rule search (for some rules). Essentially, I added a box around a C1 soup which eats everything. An example for B2a3ekr4/S1c2ci3iy4-a5678: https://catagolue.appspot.com/census/b2a3ekr4is1c2ci3iy4-a5678/ee9_test It allows to find high period oscillators, a...
June 7th, 2019, 4:37 am
Forum: Other Cellular Automata
Topic: Miscellaneous Discoveries in Other Cellular Automata
Replies: 1561
Views: 311916

### Re: Miscellaneous Discoveries in Other Cellular Automata

This Life variant has a tub, it can: - eat the glider, - can be pushed by a G, - can be pulled by a G, - can be deleted by a G. x = 63, y = 23, rule = B3aijny4aiqtwz5aiky6ei7c/S2-kn3-aik4-akry5eikqy78 8\$4bo12bo12bo12bo12bo\$2bobo10bobo10bobo10bobo10bobo\$3b2o11b2o11b2o11b 2o11b2o4\$9bo11bo11bo11bo11bo\$...
June 7th, 2019, 1:34 am
Forum: Other Cellular Automata
Topic: Miscellaneous Discoveries in Other Cellular Automata
Replies: 1561
Views: 311916

### Re: Miscellaneous Discoveries in Other Cellular Automata

@2718281828 How did you find these rules? Basically lls. I am using a small script for creating inputs (the same that I use for searching for splitters, RROs, etc). In this case I restricted the parameter space so that the glider must exist (as can be seen https://catagolue.appspot.com/object/xq4_1...
June 6th, 2019, 7:08 pm
Forum: Other Cellular Automata
Topic: Miscellaneous Discoveries in Other Cellular Automata
Replies: 1561
Views: 311916

### Re: Miscellaneous Discoveries in Other Cellular Automata

A nice life-type rule with a couple of natural ships (esp. 5c/94 orth, a knight, and 2c/6, c/4, c/5 diagonal), next to the glider: x = 201, y = 85, rule = B2k3-kr4ce5a6a/S2ace3-a4iqtwz5ain6ace 8\$154bo\$153bobo\$153b2o9\$194b3o\$194b2o\$194bo3\$25bo28bo132bo\$24b3o26b3o 134bo\$24bobo26bobo132bobo\$24b3o26b3o1...
June 4th, 2019, 5:39 pm
Forum: Other Cellular Automata
Topic: Rules with small adjustable spaceships
Replies: 99
Views: 54283

### Re: Rules with small adjustable spaceships

Adjustable ships in B2a with increasing population: x = 69, y = 12, rule = B2-cn3aeqry4inqrtwz5aciy6ak/S2e3aq4ajkz5iq b4o14b4o5b4o5b4o5b4o5b4o5b4o2\$2o2b2o12b2o2b2o3b2o2b2o3b2o2b2o3b2o2b2o 3b2o2b2o3b2o2b2o\$bo2bo14bo2bo5bo2bo5bo2bo5bo2bo5bo2bo5bo2bo\$o4bo12bo4b o3bo4bo3bo4bo3bo4bo3bo4bo3bo4bo\$19bo2bo5b...
June 3rd, 2019, 6:34 pm
Forum: Other Cellular Automata
Topic: Non-explosive B2a rules
Replies: 19
Views: 4289

### Re: Non-explosive B2a rules

A rather dense B2a rule, here some features: x = 48, y = 108, rule = B2a3airy4aiw5ar6cek8/S1c2cen3ci4ciz56-k78 2\$3bo\$4bo6\$10bo\$11bo\$6bo\$5bo7\$11bo\$12bo2\$8b2o2\$9bo3\$4bo\$5bo11\$11bo\$10b obo\$9bobobo\$8bob3obo\$7bob5obo\$6bob5obo\$7bob4o\$6bob6o13bo\$7bob5o12bo\$6b ob6o\$7bob5o\$6bob5o\$7bob4obo\$6bob6obo\$7bob4obo\$8...