Search found 1267 matches

by toroidalet
Yesterday, 6:12 pm
Forum: General Discussion
Topic: Thread for basic questions
Replies: 2619
Views: 754902

Re: Thread for basic questions

Is there some repeating evolutionary sequence and some k so that for all n>k, it is impossible to create an n-cell predecessor of that evolutionary sequence so that no proper subset of the live cells of that predecessor is a predecessor of the same evolutionary sequence? Take a glider synthesis tha...
by toroidalet
April 11th, 2021, 10:04 pm
Forum: Other Cellular Automata
Topic: Non-totalistic CA Growth Challenge
Replies: 79
Views: 16320

Re: Non-totalistic CA Growth Challenge

New record (sorry, Moosey): FIG 693,203.1 (over an order of magnitude more), population 1.17*10^13, lasting 8,421,403 generations (I like the descending powers of 2 there): x = 3, y = 1, rule = B2-ae3aekq4-cjknq5-y6-en78/S01c2-i3akn4aejqyz5aeinq678 obo! It forms a perfect square with side length 3,4...
by toroidalet
April 10th, 2021, 3:15 pm
Forum: The Sandbox
Topic: Thread for CA-related fast-growing functions
Replies: 4
Views: 240

Re: Thread for CA-related fast-growing functions

in that case, g(n) is actually on the level of an oracle busy beaver I think? Nice that it's stronger than BB though; pretty interesting that it just happens to place at w2ck naturally-- usually such ordinals seem to be a result of contrived functions (like the ones you mentioned in the most recent...
by toroidalet
April 10th, 2021, 3:51 am
Forum: The Sandbox
Topic: CA challenges
Replies: 2
Views: 73

Re: CA challenges

Here's a challenge: Try not making new game threads whenever you feel like it. (especially not ones that will maybe garner a few posts and slowly sink into the mire of all the other such game threads)

Also, we already have a challenges thread.
by toroidalet
April 6th, 2021, 6:47 pm
Forum: The Sandbox
Topic: Thread for CA-related fast-growing functions
Replies: 4
Views: 240

Re: Thread for CA-related fast-growing functions

Double post so as to prevent w edits on the last one: A potential w_3^CK-function is "the largest population reached infinitely many times (starting from 1 cell in any n state rule)", but I don't think it works. The value for each rule is in sigma_0^2 (there exists p such that for all q≥p, there exi...
by toroidalet
April 5th, 2021, 3:48 pm
Forum: Other Cellular Automata
Topic: Shapeloop, a new loop rule
Replies: 105
Views: 58582

Re: Shapeloop, a new loop rule

The fastest loops in this rule: x = 55, y = 4, rule = shapeloop3 DODC47.DEDC$D2HD47.O2HD$E2HC47.B2HA$B3D47.3DC! The one on the left is 1 generation faster. A while ago I discovered a rule-90 replicator which was a similar rectangle but I lost it. EDIT: Dumb oscillator: x = 11, y = 14, rule = shapelo...
by toroidalet
April 3rd, 2021, 2:13 pm
Forum: Other Cellular Automata
Topic: Glitter2
Replies: 23
Views: 643

Re: Glitter2

18c/180 backrake (bonus points to anyone who can find all the other suppressed outputs without feeling the urge to make a post containing only that): x = 74, y = 103, rule = B3-ekqy4j5acy6cn7c/S2-in3aijnr4aw6ci7c8 15b3ob3o$12b5ob2obo$13b3o4b2o$13bo5bo$14b2ob3o$14b2o12$14b2o$14b2o3$ 35b2o$34b2o$36bo6...
by toroidalet
April 2nd, 2021, 7:48 pm
Forum: Other Cellular Automata
Topic: Glitter2
Replies: 23
Views: 643

Re: Glitter2

Even smaller p120 c/6 gun: x = 42, y = 48, rule = B3-ekqy4j5acy6cn7c/S2-in3aijnr4aw6ci7c8 6b2o3b2o$6b2o3bo$13b2o$13b2o3b2o3b2o$18b2o3b2o4$2b2o25b2o3b2o$2b2o2b2o 22bo3b2o$o4bobo19b2o$2o2bo2bo14bo4b2o$3bo16b3o$3b3o13bo$19b2o$2o18bo$ 2o15b3o18b2o$17bo20b2o$41bo$8b2o9b2o19b2o$8b2o9bo$21b2o9b2o$21b2o8bob...
by toroidalet
April 2nd, 2021, 4:45 pm
Forum: Other Cellular Automata
Topic: Glitter2
Replies: 23
Views: 643

Re: Glitter2

Even smaller p88 c/3 gun: x = 35, y = 52, rule = B3-ekqy4j5acy6cn7c/S2-in3aijnr4aw6ci7c8 4b2o3b2o$4b2o3bo14b2o3b2o$12bo12bo3b2o$11b2o9bo$22b2o2$2b2o$3bo27b2o$o 30bo$2o32bo$33b2o$15bo10bo$8b3o3bobo2bo6b2o$2o6bobo4bo2bobo4bobo$2o7b 2o8bo4bo8b2o$6b2o14b2o9b2o$6b2o15b2o2b2o$27b2o2$11bo$10bobo$11bo$32bo$...
by toroidalet
April 2nd, 2021, 4:44 pm
Forum: The Sandbox
Topic: Thread for CA-related fast-growing functions
Replies: 4
Views: 240

Re: Thread for CA-related fast-growing functions

G(0)≥3,156: x = 1, y = 1, rule = B1e2i3k4acjw5ny7e8/S12-e3jkry4artwz5ry6c o! A larger one could be constructed by focusing on denser rules. This anisotropic 3-state rule goes up to 2^(7 million or so): @RULE 1C3SShip (incomplete) @TABLE n_states:3 neighborhood:Moore symmetries:none #delay 0,0,0,0,0,...
by toroidalet
April 2nd, 2021, 4:43 pm
Forum: Other Cellular Automata
Topic: Smallest long-lived methuselahs
Replies: 68
Views: 22497

Re: Smallest long-lived methuselahs

New MCPS-1 record: 207 (longer than the record for 2):

Code: Select all

x = 1, y = 1, rule = B1e2i3k4acjw5ny7e8/S12-e3jkry4artwz5ry6c
o!
by toroidalet
March 31st, 2021, 5:37 pm
Forum: Other Cellular Automata
Topic: Thread For Your Unrecognised CA
Replies: 2270
Views: 771101

Re: Thread For Your Unrecognised CA

p184 oscillator: x = 28, y = 28, rule = B34tz5y6k8/S2-i3-y4ct5e6ci $8bobobobo$7bob2ob2obo$8bobobobo7$22bobo$22b2obo$22bobo$b3o$2bo$bobo$ 2bo$12bo$11bobo$12bo$11b3o2$11b3o$12bo$11bobo$12bo! Rotating version (rotates in the opposite direction of signal travel): x = 31, y = 26, rule = B34tz5y6k8/S2-i3-...
by toroidalet
March 31st, 2021, 5:31 pm
Forum: Other Cellular Automata
Topic: B3acijn4j5acy6n/S2-in3aijnr4aw5aiy6c7c8 (Glitter)
Replies: 9
Views: 318

Re: B3acijn4j5acy6n/S2-in3aijnr4aw5aiy6c7c8 (Glitter)

Smaller p79 c/6 gun: x = 73, y = 55, rule = B3acijn4j5acy6n/S2-in3aijnr4aw5aiy6c7c8 2$37b2o$37b2o2$42b2o15b2o$42b2o15b2o2$54b2o$48b2o4b2o$48b2o7b2o$44bo 11b2o5b2o$42bobo13bo4b2o$43bo$45b2o$45b2o3$68b2o$68b2o3$25b2o$26b2o28b 2o$25bo29bob2o$55bo$56bo2$39bo5b3o$25bo12bo8bo$23b2o13b3o5bo$24b2o5$ 43b2o$4...
by toroidalet
March 26th, 2021, 5:42 pm
Forum: Other Cellular Automata
Topic: Rules with interesting dynamics
Replies: 611
Views: 218918

Re: Rules with interesting dynamics

A weird combination of the skyline rule, the fig rules with the c/2 slightly chaotic spacefillers (bad description) and ... something else ...

Code: Select all

x = 10, y = 10, rule = B2cek3ajn4-iw5a678/S2i345-j6-kn78
3bo2bob2o$obob2ob2o$ob2obobo$3obo4bo$b3obobo$bobob2obo$ob2o2b2o$bobobo
3bo$3o3bob2o$4b2o!
by toroidalet
March 25th, 2021, 9:32 pm
Forum: The Sandbox
Topic: Guess the pattern
Replies: 83
Views: 2587

Re: Guess the pattern

I suppose you're right. It's not as close, but it was first, so wwei35±12 gets the pattern instead. Luckily, I had forgotten about this whole thing and hadn't decided on one yet.
EDIT: wwei(x^2-70x+1081=0) has been sent the message.
by toroidalet
March 25th, 2021, 6:29 pm
Forum: Other Cellular Automata
Topic: Thread for basic non-CGOL questions
Replies: 475
Views: 159721

Re: Thread for basic non-CGOL questions

Please don't create a new thread every time you have a question like this. It clutters up the forums. As usual with these types of questions, the first step would be to check LifeWiki, which has a table . There was an image somewhere with the same list but I forgot where. (this is assuming you are r...
by toroidalet
March 25th, 2021, 5:26 pm
Forum: Other Cellular Automata
Topic: Brew
Replies: 36
Views: 11430

Re: Brew

Since a red cell surrounded by 3 blue cells produces a blue cell instead of a green cell (this is why red gliders usually don't become high-period and sparky like the green ones), it's possible for the blue layer to affect the green layer. However, I am having trouble finding a way to make this into...
by toroidalet
March 25th, 2021, 3:07 pm
Forum: The Sandbox
Topic: Guess the pattern
Replies: 83
Views: 2587

Re: Guess the pattern

The "pattern" was "activation step", so I'll award that to Anonymous Glider. I'll PM you the next target by tomorrow.
by toroidalet
March 25th, 2021, 2:14 am
Forum: The Sandbox
Topic: Guess the pattern
Replies: 83
Views: 2587

Re: Guess the pattern

That's also a relatively simple constellation. I'm talking about a giant mangled still life that you bash into something more interesting.
by toroidalet
March 25th, 2021, 2:02 am
Forum: The Sandbox
Topic: Guess the pattern
Replies: 83
Views: 2587

Re: Guess the pattern

Nope. Think a big giant mangled thing rather than a constellation.
by toroidalet
March 24th, 2021, 7:49 pm
Forum: The Sandbox
Topic: Guess the pattern
Replies: 83
Views: 2587

Re: Guess the pattern

My apologies. I had one but I forgot I was supposed to post it.

A reaction that turns an uninteresting but complicated still life into an interesting non-still life. (Not "component")
by toroidalet
March 24th, 2021, 3:48 am
Forum: Website Discussion
Topic: Really, let's put an end to this. (on Trump)
Replies: 16
Views: 660

Re: Really, let's put an end to this. (on Trump)

Looking back on it, the probability of ColorfulGalaxy actually getting hacked is much lower than I thought it was, since: [*]It's pretty hard to guess someone's password if they put in even a little effort. [*]Calling "Fe Trump" a "Japanese schoolgirl" doesn't match the fact that they were mostly us...
by toroidalet
March 24th, 2021, 3:04 am
Forum: The Sandbox
Topic: More members needed in the Trump group
Replies: 3
Views: 233

Re: More members needed in the Trump group

... Is this a joke? I hope it is (in which case it's "only" reprehensible attention-seeking behavior instead of seriously problematic). Can a mod reset their password? Asking for help trolling a user of this forum, even a really annoying and young one (to the real ColorfulGalaxy: no offense; we were...
by toroidalet
March 21st, 2021, 11:49 pm
Forum: General Discussion
Topic: Thread for basic questions
Replies: 2619
Views: 754902

Re: Thread for basic questions

Mr. Ex-President: that appears to just be a normal glider with some comments in an esolang (please don't make a post just to say which one). Obviously it would not be found on a wiki for cellular automata . Whether you are trolling or genuinely don't know the rules, your behavior is inappropriate an...
by toroidalet
March 21st, 2021, 11:18 pm
Forum: Other Cellular Automata
Topic: Rules with interesting replicators
Replies: 285
Views: 86343

Re: Rules with interesting replicators

It seems to me that the triangular replicator rotates itself by 45° and scales itself by √2, meaning that the diagonal wickstretcher in TriRep is a scaled up version of the orthogonal one. A variant of one of many rules posted by ENORMOUS_NAME (the one with all the question marks) which goes into co...