Search found 421 matches

by Tropylium
May 20th, 2013, 10:41 am
Forum: Other Cellular Automata
Topic: Mildly interesting rule
Replies: 9
Views: 7115

Re: Mildly interesting rule

Apparently this is a rule that alternates between three different stages? 1) "Red stage": B1/D. All state 1 cells survive as state 2. Newborn cells are state 4. 2) "Orange stage": B1/D. All state 2 cells survive as state 3. All state 4 cells die. Newborn cells are state 5. 3) "Yellow stage": B368/S....
by Tropylium
May 20th, 2013, 8:56 am
Forum: Patterns
Topic: p20 gun
Replies: 6
Views: 7312

Re: p20 gun

The robust "middleweight supervolcano" used here is the main new component, I presume?
by Tropylium
May 9th, 2013, 12:34 pm
Forum: General Discussion
Topic: "Typical patterns"
Replies: 0
Views: 2447

"Typical patterns"

I posted previously some observations based on the concept of "typical Life patterns". I'm thinking of how to quantify "typicalness". An approach that seems promising might be a simple bounding box approach: • If the smallest parent of an M×N pattern is of size M'×N' , it has a typicality rank of (M...
by Tropylium
May 7th, 2013, 6:50 pm
Forum: Patterns
Topic: Thread for your unsure discoveries
Replies: 3247
Views: 1496091

Re: Thread for your unsure discoveries

There are four pi+block reactions that output a LWSS (no M/HWSSes). The one just posted is indeed the cleanest and fastest; the next smallest already seems much less viable for cleanup. x = 13, y = 12, rule = B3/S23 bo$3o$obo8$11b2o$11b2o! I also know of one reaction to produce a temporary LWSS (the...
by Tropylium
May 7th, 2013, 6:08 pm
Forum: Scripts
Topic: Finding the smallest spaceship of given speed
Replies: 12
Views: 13439

Re: Finding the smallest spaceship of given speed

I.e., if there would be a smaller p4 c/4 spaceship, it would be definitely wider than 13 cells! Which already is rather close to the conujectured 15x15 box. Is there any reasonable heuristic to guess the size of a space ship given the speed? It is clear that there is only a finite number of pattern...
by Tropylium
May 3rd, 2013, 1:44 pm
Forum: Patterns
Topic: Posts that Don't need an entire post
Replies: 6
Views: 5815

Re: Posts that Don't need an entire post

Sounds largely the same as "Unsure Discoveries" tbh.
by Tropylium
May 3rd, 2013, 1:30 pm
Forum: General Discussion
Topic: Grid that dies in one step
Replies: 7
Views: 4967

Re: Grid that dies in one step

Best I can think of for 11 and 13 are two-polyplet objects:

Code: Select all

x = 14, y = 13, rule = B3/S23
11bo$11bo$2b2obo4b3o$5o3b5o$2b2o6b2o$5bo7bo2$11bo$11bo$10b3o$8b4obo$
10bo$11bobo!
by Tropylium
April 27th, 2013, 4:30 pm
Forum: Other Cellular Automata
Topic: Conway's Life: Garden of Eden Pattern
Replies: 6
Views: 7321

Re: Conway's Life: Garden of Eden Pattern

I'll ask the opposite question- How can you proof for specific patterns that they ARE Gardens Of Eden? I mean, a small Garden Of Eden might actually be the next generation of a dissolving pattern with a population of 10^52, and we'll never get close to discover the parent, but even then, it won't c...
by Tropylium
April 27th, 2013, 3:16 pm
Forum: Patterns
Topic: Self-repairing pattern
Replies: 14
Views: 23766

Re: Self-repairing pattern

Related question though: are there any small objects that are good at recovering from added cells in their vicinity? The standard eaters don't really handle single-cell perturbations.
by Tropylium
April 13th, 2013, 11:36 am
Forum: Other Cellular Automata
Topic: Coral (B3/S45678)
Replies: 1
Views: 2416

Re: Coral (B3/S45678)

Cool find. I definitely wasn't expecting spaceships for this rule. 8) The reticulated structure is interesting.
by Tropylium
April 9th, 2013, 8:46 pm
Forum: Patterns
Topic: What do you want out of (conway's) life this year?
Replies: 27
Views: 36206

Re: What do you want out of (conway's) life this year?

In case they do not, how about: "Pedestrian Life" for B38/S23 (since traffic lights do not occur in this rule), "Pulsar Life" for B3/S238 (given the frequent pulsars from pi heptominoes), and "Honey Life" for B38/S238 (since big beehives occur surprizingly frequently in this rule)? Granted though, B...
by Tropylium
April 9th, 2013, 6:49 pm
Forum: Other Cellular Automata
Topic: Rules with naturally occurring spaceships
Replies: 4
Views: 4180

Re: Rules with naturally occurring spaceships

(…) say the recently discovered 20 cell or so "loafer." With that relatively small cell size I find it hard to believe that it can never occur naturally. In fact it probably does. But let's just say it occurs once per every 1,000 occurances of the block laying switch engine. And let's just say that...
by Tropylium
April 9th, 2013, 5:28 pm
Forum: Patterns
Topic: Thread For Your Accidental Discoveries
Replies: 2056
Views: 1421286

Re: Thread For Your Accidental Discoveries

3A. A part of the previos pattern where the pi advances 4 cells in 6 generations,(2c/3). That's probably too fast to be of much use, but still worth including just in case. On the contrary, it's quite useful — this is exactly the reaction used in the blinker puffer fuse. x = 5, y = 22, rule = B3/S2...
by Tropylium
April 1st, 2013, 8:49 pm
Forum: General Discussion
Topic: Pattern search idea: Fluff Relays
Replies: 4
Views: 6000

Re: Pattern search idea: Fluff Relays

Probably not clean Herschels, no. (And sometimes you get just the "stage 3" that only releases one glider.) But they're the most frequent glider-creating reaction from 1st-order collisions with simple still lifes at least… OK, running 16 10×10 soups. 10 gliders observed from Herschels; 15 from all o...
by Tropylium
March 31st, 2013, 6:05 pm
Forum: The Sandbox
Topic: how and when you discovered the game of life?
Replies: 65
Views: 57909

Re: how and when you discovered the game of life?

I was first introduced to Life in the early 90s by my father, who had found LifeLab from either online or potentially some colleague in simulation (he's a chemist). I frequently tinkered around the program during my (pre)teens but never got much done. I belive I found the 3c/7 "swimmer" independantl...
by Tropylium
March 31st, 2013, 5:56 pm
Forum: General Discussion
Topic: Pattern search idea: Fluff Relays
Replies: 4
Views: 6000

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: 18804

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: 11289

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: 11289

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: 2788

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: 6154

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: 912
Views: 551906

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: 68
Views: 191971

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: 5265

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: 4209

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...