Search found 421 matches

by Tropylium
October 19th, 2021, 9:07 am
Forum: General Discussion
Topic: A Broader Audience for Cellular Automata
Replies: 99
Views: 61640

Re: A Broader Audience for Cellular Automata

There's simply a huge barrier to entry for finding new patterns in Life. Correct for new "engineering-compatible" patterns, which seem to require either programming chops or encyclopedic knowledge of pattern construction techniques. On the other hand, so far there exists almost zero community inter...
by Tropylium
October 15th, 2021, 6:35 pm
Forum: Other Cellular Automata
Topic: Thread For Your Unrecognised CA
Replies: 3004
Views: 1076342

Re: Thread For Your Unrecognised CA

Not sure of a good place to start posting these, but I have a whole bunch of old notes on nontotalistic isotropic rules from before they were natively supported in Golly. One starting question: anyone know of or interested in rules or rulespace areas with a high amount of natural xWSSes? A nice one ...
by Tropylium
October 15th, 2021, 9:55 am
Forum: Other Cellular Automata
Topic: True Photons & Tachyons
Replies: 14
Views: 2210

Re: True Photons & Tachyons

That looks like User:GUYTU6J/Repeat . I think you're right! Looks like that is the thread I was thinking about but just failed to find again, most of these tachyon examples were posted there already. At least building actual ruletables for these makes exploration easier ^^' I did some looking for a...
by Tropylium
October 12th, 2021, 4:58 pm
Forum: Other Cellular Automata
Topic: True Photons & Tachyons
Replies: 14
Views: 2210

True Photons & Tachyons

A topic I had thought I already started during my last active time on the forums, but I cannot find it or any evidence to the effect, so apparently not. Anything called "photons" are usually small but > 1 cell spaceships that move at c. Here is a more elementary-particle-like take on photons: a rule...
by Tropylium
October 11th, 2021, 1:25 pm
Forum: Patterns
Topic: Thread for your unsure discoveries
Replies: 3210
Views: 1483857

Re: Thread for your unsure discoveries

A p19 wick: x = 55, y = 8, rule = B3/S23:T57,0 30bo2b2o$2o18bo2b2obo6b6obobobo9bo$6o3bo2b2o2bobo4b4ob2o4bo4bobo2bob3o b2obo$2o4b3o2bo3b2obo2b2o6b4o2bo3b3o2bo5b2obo$2o4b3o2bo3b2obo2b2o6b4o 2bo3b3o2bo5b2obo$6o3bo2b2o2bobo4b4ob2o4bo4bobo2bob3ob2obo$2o18bo2b2obo 6b6obobobo9bo$30bo2b2o! (is this the firs...
by Tropylium
October 3rd, 2021, 8:49 am
Forum: General Discussion
Topic: Thread for basic questions
Replies: 4725
Views: 1219674

Re: Thread for basic questions

The question gave me a flashback to 49P88 , which I have never thought of as a shuttle, despite taking a 180° turn. I still would not call it a shuttle. The classic shuttles are p30 and p46, which are both symmetric (ignoring catalysts) and can be thought of as flips as well as 180° turns. Maybe th...
by Tropylium
September 30th, 2021, 5:17 pm
Forum: The Sandbox
Topic: Challenges
Replies: 319
Views: 147163

Re: Challenges

About that still life tree thing: Any corner-hook can be turned into a tub (the integral > integral with tub relationship), which means that a still life with N distinct hooks gives a tree with N layers and 2^N still lives (we will ignore still lifes with indistinguishable hooks, which give rise to...
by Tropylium
September 28th, 2021, 2:08 pm
Forum: Other Cellular Automata
Topic: B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
Replies: 28
Views: 4133

Re: B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8

No one going to comment on the fact that a t-tetromino is a 142251-gen methuselah in this rule? absolutely crazy growth behavior with a series of messy chaos trains that seem to have good odds of both choking on their own ash and on spawning new trains; there has got to be a puffer engine somewhere ...
by Tropylium
September 28th, 2021, 8:06 am
Forum: Patterns
Topic: Polybishops
Replies: 4
Views: 912

Re: Polybishops

"Polybishop" would to me suggest that a bishop has a path where its moves place it on squares in the polybishop such that it can move between any two squares in it (i.e. a connected graph is produced if you follow the algorithm where when any two cells are along the same diagonal, you put an edge b...
by Tropylium
September 23rd, 2021, 6:22 pm
Forum: Patterns
Topic: Polybishops
Replies: 4
Views: 912

Polybishops

By analogy with the synonym " polyking " for polyplets, let a polybishop be a polyplet where all squares are connected diagonally. Equivalently, these are polyominoes rotated 45° so that they now occupy only every other square in a lattice. Nothing new combinatorically, but in CA… We can note that i...
by Tropylium
September 23rd, 2021, 11:18 am
Forum: Patterns
Topic: Thread for your unsure discoveries
Replies: 3210
Views: 1483857

Re: Thread for your unsure discoveries

Crossposting from Talk:Turner . This was briefly discussed on the forums in 2018: I found this reaction posted by user 'Hunting': x = 4, y = 12, rule = B3/S23 b2o$o2bo$o2bo$b2o2$2bo$b3o$2obo$3o$3o$3o$b2o! Although it's probably been seen many times. My question is, how would I go about searching for...
by Tropylium
September 23rd, 2021, 10:42 am
Forum: General Discussion
Topic: Game of Life Links
Replies: 64
Views: 207426

Re: Game of Life Links

I suppose this is a sufficient initial place for the announcement. After some years of dwelling on the idea, I've started a blog for sketching down thoughts on the classification of cellular automata: https://cellularcosmology.wordpress.com/ No specifically CGoL content so far, or even particularly ...
by Tropylium
September 23rd, 2021, 8:54 am
Forum: Website Discussion
Topic: Splitting up the forums further
Replies: 23
Views: 18485

Re: Splitting up the forums further

Coming back to the forums from since before this thread was started, the OCA category that seems to have ballooned the most since then are isotropic nontotalistic rules. Some kind of a separate subforum for these would at least make it easier to find where discussion of e.g. Life-like CA is around t...
by Tropylium
September 23rd, 2021, 8:31 am
Forum: The Sandbox
Topic: Introductions
Replies: 223
Views: 156231

Re: Introductions

Hi again, and hello to the plethora of new users too, I've been gone for several years but I might be dropping by every now and then again. I'm a casual Life enthusiast since the 90s and maybe the most interested in things like pattern classification or CA rule typology. I also might be one of the f...
by Tropylium
September 23rd, 2021, 7:58 am
Forum: General Discussion
Topic: Thread for basic questions
Replies: 4725
Views: 1219674

Re: Thread for basic questions

Has anyone ever done an enumeration of still lifes with a specific topology? I did a start at this years ago, though it's not strictly cell-topological as much as component-topological, and done only up to a modest 13 cells: User:Tropylium/Table_of_still_lifes_by_type including a grammar of "string...
by Tropylium
November 18th, 2015, 9:09 pm
Forum: Patterns
Topic: Thread for your unsure discoveries
Replies: 3210
Views: 1483857

Re: Thread for your unsure discoveries

dvgrn wrote:How many tiles are there in the Still Life Compatible 3x3 set? And how many if rotations and reflections are allowed?
50 modulo symmetries, or 51 if we count the vacuum tile. (Which happens to be just barely under ½: there are 104 distinct 3×3 tiles altogether.)
by Tropylium
November 18th, 2015, 7:14 pm
Forum: Other Cellular Automata
Topic: Generations rules without B2
Replies: 8
Views: 5563

Re: Generations rules without B2

Also, I do not recall if I've posted this before, but here is an interesting "widening puffer" in a variant of your 2nd rule: [edit] sorry, doublechecked the rule and pattern: x = 20, y = 20, rule = 02378/345/5 2.2A$.ACD2A$.2A2.2A$.CA2.C2A$3.A2CA$2.A2BA$2.3A$3A$2A10$18.2A$18.2A! Let this run for a w...
by Tropylium
November 18th, 2015, 7:12 pm
Forum: Other Cellular Automata
Topic: Generations rules without B2
Replies: 8
Views: 5563

Re: Generations rules without B2

There are a lot of these. Interest doesn't seem to have been very high in the last few years, but here are some older discussions you might enjoy checking out (for themselves, or for inspiration on where to explore): Very nearly exploding rules 01356/34/8 24567/345678/5 23567/35/4 [Ray Distributed S...
by Tropylium
November 18th, 2015, 6:36 pm
Forum: Patterns
Topic: Thread for your unsure discoveries
Replies: 3210
Views: 1483857

Re: Thread for your unsure discoveries

Here's a reaction that causes a blinker to change its phase. x = 12, y = 4, rule = B3/S23 4bo6bo$4bo6bo$2o2bo6bo$obo! This "horn" mechanism is very closely related to several previously known p3 oscillators. Compare e.g. jam and pulsar quadrant: x = 8, y = 23, rule = B3/S23 5b2o$4bo$7bo$3bo3bo$2bob...
by Tropylium
November 17th, 2015, 1:49 pm
Forum: Other Cellular Automata
Topic: Tosc
Replies: 43
Views: 21330

Re: Tosc

Natural p126:

Code: Select all

x = 9, y = 3, rule = tosc
6b3o$bo5bo$3o!
I've seen occasional natural Octagon IIs too; no idea yet what's the precedessor.
by Tropylium
November 17th, 2015, 12:30 am
Forum: Other Cellular Automata
Topic: Tosc
Replies: 43
Views: 21330

Re: Tosc

Well, this is an interesting " very nearly exploding " rule. (The p9 reminds me of the p7 in the first Generations rule I explored in that topic.) I actually suspect apparent infinite growth patterns might in fact be stabilizing at astronomically large ages, given the following mechanisms: 1) Collis...
by Tropylium
November 16th, 2015, 11:42 pm
Forum: Other Cellular Automata
Topic: Cellular automata on 3D diagonal mesh - help needed
Replies: 10
Views: 6189

Re: Cellular automata on 3D diagonal mesh - help needed

This neighborhood seems to have a similar problem as range-1 von Neumann neighborhoods: the minimal birth condition necessary for patterns to escape their bounding box (or, in this case, bounding dodecahedron) is also sufficient for lightspeed expansion. I.e. if two adjacent corners of a cube will s...
by Tropylium
November 16th, 2015, 9:49 pm
Forum: Scripts
Topic: Is there a rake/puffer period generator?
Replies: 4
Views: 5906

Re: Is there a rake/puffer period generator?

No idea about a script, but for things like rakes and puffers, calculating a period by hand is of course quite simple: note when one instance of a final periodic output has been finished assembled, set that as generation 0, and run the pattern until the next one finishes. The main gun explosion reac...
by Tropylium
November 16th, 2015, 9:36 pm
Forum: Other Cellular Automata
Topic: B08/S4 (Neon Blobs)
Replies: 3
Views: 2845

Re: B08/S4 (Neon Blobs)

The patterns you called "chaos puffer" aren't puffers. They are just random explosive patterns. Oopz, my mistake They're explosive yes, but still not exactly random — there is after all a periodic engine that stretches the mess on. "Zagger" for example gives birth to a second identifiable westbound...
by Tropylium
November 16th, 2015, 8:29 pm
Forum: Other Cellular Automata
Topic: MetaLife
Replies: 9
Views: 8392

Re: MetaLife

A funny idea for working with "spark-halo" rules. (Though I think there are much easier ways to create chaotic rules that create Life patterns as a side effect, e.g. starting with B123478/S01234678.)

I'm also pretty sure this could be condensed for a 2x2 unit cell as well.