Search found 406 matches

by Tropylium
March 31st, 2013, 5:56 pm
Forum: General Discussion
Topic: Pattern search idea: Fluff Relays
Replies: 4
Views: 4046

Re: Pattern search idea: Fluff Relays

Two very preliminary thoughs. 1) The fluff database is probably going to be dominated by reactions that output a Herschel in some direction, with secondary contributions from block-and-gliders, octominoes, and possibly the tail-ends of Rs. 2) This kind of database sounds like it might be useful for ...
by Tropylium
March 29th, 2013, 6:01 pm
Forum: Other Cellular Automata
Topic: Salt, a 3D reversible, universal CA
Replies: 23
Views: 12312

Re: Salt, a 3D reversible, universal CA

The emergence of circular motion got me thinking why is reversibility considered such an important criterion in academic CA research. Obviously, a goal here is to understand our own universe, which appears to be reversible at micro-scales. However, it seems to me that a kind of reversibility could w...
by Tropylium
March 29th, 2013, 4:34 pm
Forum: Other Cellular Automata
Topic: Busy Beaver Turmite Challenge
Replies: 10
Views: 4759

Re: Busy Beaver Turmite Challenge

OK, a small sampling of 36 stabilizing turmites and dropping them in chaos turns out the following results: Oscillators — 4 immediately stabilize with the same end result, one of them allowing for a small variation though. — 9 erase some room until they stabilize. At least 3 could end up in stabiliz...
by Tropylium
March 29th, 2013, 2:18 pm
Forum: Other Cellular Automata
Topic: Busy Beaver Turmite Challenge
Replies: 10
Views: 4759

Re: Busy Beaver Turmite Challenge

Turmites that are predictable from the very start (like a runaway turmite that only writes black and goes forward when it encounters black) could do other things when it encounters other colors. They could be very well a very busy beaver. This is a particularly intersting thought, and makes me wond...
by Tropylium
March 29th, 2013, 2:08 pm
Forum: Other Cellular Automata
Topic: 048/235/6
Replies: 2
Views: 1630

Re: 048/235/6

This rule is approximately identical in behavior to plain 0/23/6 though (and in turn also very much like a longer-winded version of 0/23/5 and 0/23/4). I'm not sure what the alleged "interesting global properties" are, but I don't think they're in any way particular to this rule?
by Tropylium
March 27th, 2013, 9:38 pm
Forum: Patterns
Topic: Easy Honey Farm
Replies: 4
Views: 4410

Re: Easy Honey Farm

I'll 3up you on that. ☾ :wink: Here's a collection of common natural honey farm precedessors, organized according to the three main paths of development: x = 63, y = 65, rule = B3/S23 36b3o$35bo3bo$34bo5bo$35bo3bo$36b3o6$37bo$35b2ob2o$35b2ob2o$35b2ob2o$ 37bo6$37bo$36bobo$35b2ob2o$36bobo$37bo6$29bo7b...
by Tropylium
March 16th, 2013, 5:00 pm
Forum: Other Cellular Automata
Topic: Thread for Your Accidental Discoveries that Aren't in CGOL
Replies: 804
Views: 337595

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

B2/S356 Generations rules turn out to have a *tiny* natural gun:

Code: Select all

x = 4, y = 4, rule = 356/2/4
4C$4A$4A$4C!
by Tropylium
March 13th, 2013, 12:19 am
Forum: Patterns
Topic: c/7 orthogonal spaceships
Replies: 61
Views: 149832

Re: c/7 orthogonal spaceships

I've spent a bit of time searching for things that react with *WSSes, without finding anything other than the odd exotic eater. Most of the time I feed it gliders, or collisions between gliders and small objects. The "holy grail" I'd like to find is a small stable 90 degree reflector. Have you trie...
by Tropylium
March 11th, 2013, 9:03 pm
Forum: Patterns
Topic: Methuselahs
Replies: 7
Views: 2723

Re: Methuselahs

OK, here's a few. Two honeyfarm reaction running 10722 generations: x = 13, y = 9, rule = B3/S23 11bo$10b2o$10bobo$11bo2$3o$2bo$o$bo! Fuse (→ R + 2 blinkers) running 6634 generations: x = 15, y = 14, rule = B3/S23 12bo$12bo$11bobo$10bo3bo$9bo$8bo$7bo$6bo$5bo$4bo$3bo$2bo$bo$o! Thunderbird-based dieha...
by Tropylium
March 11th, 2013, 7:32 pm
Forum: General Discussion
Topic: Thread For Your Own Theories of CA
Replies: 4
Views: 2591

Re: Thread For Your Own Theories of CA

As far as I can see C implies B. Consider this pattern: x = 13, y = 13, rule = B3/S23 4bo$3bobo$3bob3o$b2o5bo$o6bobo$b2o3bobobo$2bo2bobo2bo$2bobobo3b2o$3bobo6bo$4bo5b 2o$5b3obo$7bobo$8bo! Any still life where this one appears as a subpattern is tied, because the middle tub can be removed and the re...
by Tropylium
March 10th, 2013, 12:31 pm
Forum: General Discussion
Topic: Thread For Your Own Theories of CA
Replies: 4
Views: 2591

Re: Thread For Your Own Theories of CA

The probability of an OFF cell turning into ON cell ('Birth') is 8C3 / 2^8 = 7/32 = 0.21875 The probatility of an On cell staying its state ('Surviving') is (8C2 + 8C3) / 2^8 = 21/64 = 0.328125 Those are first approximations only. Not all of the 256 cell environments occur with equal probability, f...
by Tropylium
March 10th, 2013, 11:51 am
Forum: General Discussion
Topic: Oscillator / gun based an 'automatic' herschel conduit?
Replies: 4
Views: 2070

Re: Oscillator / gun based an 'automatic' herschel conduit?

A self-sufficient "conduit" would be more of a hassler or shuttle, I suppose.

So your idea would be something similar to e.g. the B-52 bomber?
by Tropylium
March 10th, 2013, 11:40 am
Forum: Other Cellular Automata
Topic: New Life
Replies: 80
Views: 44745

Re: New Life

If c/2 is the maximum speed for spaceships and there are no objects with a width less than 2, then yes, period 6 is going to be the smallest possible for a puffer. (Well a string of blocks is actually a single pseudo still life, so we might call even this rather a wickstretcher, but close enough.) T...
by Tropylium
March 4th, 2013, 6:51 pm
Forum: Patterns
Topic: c/7 orthogonal spaceships
Replies: 61
Views: 149832

Re: c/7 orthogonal spaceships

This two-block approach might yield something? Couple variants: x = 13, y = 23, rule = B3/S23 7b2o$7b2o4$2o3b2o2bob2o$2o2bo2bo2b2o$5bobo$6bo$12bo$10b3o$9bo$10bo$11b 2o6$8b2o$9bo$6b3o$6bo! x = 21, y = 29, rule = B3/S23 7b2o$7b2o4$2o3b2o2bob2o$2o2bo2bo2b2o$5bobo$6bo$12bo$10b3o$9bo$10bo$11b 2o14$19b2o$...
by Tropylium
February 25th, 2013, 5:33 pm
Forum: Patterns
Topic: Thread For Your Accidental Discoveries
Replies: 1502
Views: 951389

Re: Thread For Your Accidental Discoveries

Butterfly and Octagon 2 can be hassled into each other:

Code: Select all

x = 29, y = 10, rule = B3/S23
27bo$3bo2bo15bo2bo2bo$2bobo2bo14bo2bo$bo2bo15b2ob2ob2o$o4b2o15bo2bo$b
2o4bo14bo2bo$3bo2bo13b2ob2ob2o$o2bobo16bo2bo$bo2bo14bo2bo2bo$20bo!
by Tropylium
February 25th, 2013, 5:18 pm
Forum: Patterns
Topic: P2 doodles
Replies: 5
Views: 2183

Re: P2 doodles

…Whatever algorithm those rotor collections come from, it sure seems to generate a lot of "pseudo rotors". 8 bits 2+2+2+2 rotors • diag on-off⁴ ×17 • orth on-off⁴ ×4 • diag on-off³ + orth on-off ×1 • diag on-off² + orth-on-off² ×1 2+3+3 rotors • orth on-off + filament² ×1 2+2+4 rotors • bipole + dia...
by Tropylium
February 25th, 2013, 2:32 pm
Forum: Patterns
Topic: P2 doodles
Replies: 5
Views: 2183

Re: P2 doodles

There are probably simpler ways to stabilize an "on-off blinker" rotor component but here's a 1st draft: x = 17, y = 15, rule = B3/S23 b2o3b2ob2o3b2o$bo2bo2bobo2bo2bo$3b3o5b3o$6b5o$3b2obo3bob2o$3bobobobobo bo$b2o2b2o3b2o2b2o$o2b2o3bo3b2o2bo$b2o2b7o2b2o$3bo3bobo3bo$3b2o7b2o$6b 5o$3b3o5b3o$bo2bo2bobo2...
by Tropylium
February 23rd, 2013, 8:38 pm
Forum: Patterns
Topic: P2 doodles
Replies: 5
Views: 2183

Re: P2 doodles

The oscillator guide uses a "casing/frame" distinction that is somewhat different from the bushing/casing distinction. A lot of the "casing" variety seems to reduce down at the bushing level, e.g. 41 to 17 with diagonal on-offs: x = 114, y = 131, rule = stator 12C2.13C2.13C$C10.C2.C11.C2.C11.C$C.2A7...
by Tropylium
February 23rd, 2013, 7:23 pm
Forum: Patterns
Topic: P2 doodles
Replies: 5
Views: 2183

Re: P2 doodles

I think I've posted this before (…) I think you have, yes. It's a lot of fun. :) Also you might check out http://pentadecathlon.com/rotors/rotors.php for information about some casing variants for the 2 to 4 bit rotors. Thanks for the link — this had escaped my attention! … It's conjectured that no...
by Tropylium
February 23rd, 2013, 4:10 pm
Forum: Patterns
Topic: Thread For Your Accidental Discoveries
Replies: 1502
Views: 951389

Re: Thread For Your Accidental Discoveries

Clean R + boat → LWSS mini-conduit:

Code: Select all

x = 10, y = 16, rule = B3/S23
8bo$7bobo$2bo4b2o$3o$bo8$4b2o$4bo$5b3o$7bo!
Version with glider and block:

Code: Select all

x = 13, y = 16, rule = B3/S23
10bo$10bobo$10b2o2$2bo$3o$bo8$b2o$b2o!
by Tropylium
February 23rd, 2013, 3:10 pm
Forum: Website Discussion
Topic: Why is this forum so Dead?
Replies: 12
Views: 8882

Re: Why is this forum so Dead?

First, every thread on this forum is about a specific topic; discussion and interpretation are always sectioned away into their individual thread, with the individuals covering a few points apiece. General discussion is dead. I'd love to talk about the larger topics on CA like the classification of...
by Tropylium
February 23rd, 2013, 12:30 pm
Forum: Patterns
Topic: P2 doodles
Replies: 5
Views: 2183

P2 doodles

Tried my hand at these and they're actually not too much harder than still lifes to construct manually. (Aiming to work my way up towards an understanding of larger periods.) Some on-offs: x = 76, y = 29, rule = B3/S23 $50bo$49bobo12bo$8b2o16bo22bobo11bobo3b2o$9bo2b2o8b2obobo20b2ob2o10bob 3o2bo$7bob...
by Tropylium
February 20th, 2013, 6:57 pm
Forum: Patterns
Topic: Thread For Your Accidental Discoveries
Replies: 1502
Views: 951389

Re: Thread For Your Accidental Discoveries

Welcome GRider!
Your oscillator also happens to be previously known, since 1989.
by Tropylium
February 19th, 2013, 8:32 pm
Forum: Patterns
Topic: c/7 orthogonal spaceships
Replies: 61
Views: 149832

Re: c/7 orthogonal spaceships

The fact that the four natural spaceships AND the switch engine are all glide-reflective makes me wonder how so few glide-reflective "artificial" ships have been sought yet. The problem with such spaceships is they are limited to even periods greater than 2, so they quickly become difficult to sear...
by Tropylium
February 19th, 2013, 4:19 pm
Forum: Patterns
Topic: c/7 orthogonal spaceships
Replies: 61
Views: 149832

Re: c/7 orthogonal spaceships

There are zillionplexes of 20-cell patterns, and most of them are going to occur naturally incredibly rarely. Besides, oscillators and slow spaceships will presumably have less of a chance of being detected than faster ones, due to lesser chances of survival. If soup searches DO turn up a non-standa...