Search found 307 matches
- May 31st, 2023, 8:00 pm
- Forum: The Sandbox
- Topic: Non-Discrete Automata
- Replies: 1
- Views: 775
Non-Discrete Automata
After studying differential calculus, a thought came to my mind: Could CA be simulated through a system of equations? The answer is no, but it got me thinking about non-discrete systems. The following are 2 potential alternative systems to discrete automata. 1. State-continuous CA: Generally, there ...
- January 24th, 2023, 3:40 pm
- Forum: Patterns
- Topic: Black holes in CGOL
- Replies: 23
- Views: 10304
Re: Black holes in CGOL
Technically, the definition of a white hole is a time-reversed black hole. In other words, it is a causally disconnected piece of space-time which is impossible to enter without traveling faster than c. There is no rule saying objects inside a white hole must exit, only that the flow of information ...
- December 15th, 2022, 11:06 am
- Forum: Patterns
- Topic: Black holes in CGOL
- Replies: 23
- Views: 10304
Re: Black holes in CGOL
I think such a black hole does exist for any n. To construct it, go through all the n by n patterns. Make a border capable of containing the first one. Then, make a border capable of containing the second one when run inside the first one. Repeat this for all 2^n^2 patterns, and you have a border c...
- December 14th, 2022, 2:46 pm
- Forum: General Discussion
- Topic: Unproven conjectures
- Replies: 406
- Views: 202404
Re: Unproven conjectures
Conjecture: GCOL does not follow the second law of thermodynamics, entropy must always increase. We can't disprove an icenine, and cgol doesn't have the issue that decreasing entropy requires energy. The very existence of people proves this, it is possible for an extremely organized pattern or repli...
- December 14th, 2022, 1:58 pm
- Forum: Other Cellular Automata
- Topic: Eatsplosion (B2n3-ekqy4c5e/S2-cn3-eky4aij5e)
- Replies: 104
- Views: 37024
Re: Eatsplosion (B2n3-ekqy4c5e/S2-cn3-eky4aij5e)
Sorry for double post It's a new day! 429M, 7 cells. Bounding box 11x14. MCPS 16. L/I = ~61.2857 L/MCPS = 26.8125. x = 11, y = 14, rule = B2n3-ekqy4c5e/S2-cn3-eky4aij5e 9bo$9b2o9$b2o$2bo2$o! Can anyone find longer lived methuselahs? 1372M from a relative another methuselah listed both below: x = 10,...
- December 13th, 2022, 11:48 am
- Forum: Patterns
- Topic: Black holes in CGOL
- Replies: 23
- Views: 10304
Black holes in CGOL
The information limit is the maximum rate at which information can move. The effect of this can be thought of as an imaginary bubble that expands at c which no information can leave. This is essentially an event horizon, and causality states no information can be transmitted faster than c, or escape...
- December 12th, 2022, 7:43 pm
- Forum: Other Cellular Automata
- Topic: Eatsplosion (B2n3-ekqy4c5e/S2-cn3-eky4aij5e)
- Replies: 104
- Views: 37024
Re: Eatsplosion (B2n3-ekqy4c5e/S2-cn3-eky4aij5e)
Strange glider advancer: x = 6, y = 7, rule = B2n3-ekqy4c5e/S2-cn3-eky4aij5e bo$2bo$3o2$4b2o$2o2b2o$2o! Edit* Didn't want to double post, here's a sl "constellation" flipper powered by caps: x = 63, y = 63, rule = B2n3-ekqy4c5e/S2-cn3-eky4aij5eSuper 46.2A$42.B2.B2A$41.3B.2B$41.6B$40.8B$39.8B$40.8B$4...
- December 1st, 2022, 11:13 pm
- Forum: The Sandbox
- Topic: ConwayLife Skyscraper
- Replies: 507
- Views: 93771
Re: ConwayLife Skyscraper
Floor τ consists of a group of mathematicians and engineers arguing about whether τ should serve as a unit for radians or torque.
- November 30th, 2022, 12:14 pm
- Forum: Patterns
- Topic: Honey Farm Catalysts
- Replies: 52
- Views: 38873
Re: Honey Farm Catalysts
It was shockingly difficult to reduce the current stabilization of the large drifty HF catalyst, Only able to save 3 cells on the left, comparison: x = 39, y = 20, rule = LifeSuper 4.2A$5.A$4.A$4.2A2C.2A16.2C.2A$7.C.C.A14.A.C.C.A$4.AC.C.C2.A10.A2.C.C .C2.A$3.C.C.2C.C.3A7.A.C.C.2C.C.3A$3.C2.C3.CA3.A6...
- November 28th, 2022, 12:39 pm
- Forum: Patterns
- Topic: Thread For Your Accidental Discoveries
- Replies: 2146
- Views: 1524109
Re: Thread For Your Accidental Discoveries
2 useless chucklebait variants with SI stabilization
Code: Select all
x = 26, y = 14, rule = StateInvestigator
8.2A$.2A4.A.A$A.A2.3A$A.A.A3.A12.3ED$.A.A.A.A.A10.ED.AED$3.A.A.2A9.ED
EA.2A$2.A.A13.A.A$3.A15.A3$2A14.2A$A.A13.A.A$3A13.3A$.A15.A!
- November 21st, 2022, 12:22 pm
- Forum: Patterns
- Topic: Thread for your unsure discoveries
- Replies: 3497
- Views: 1654037
Re: Thread for your unsure discoveries
I found another puffer-based methuselah. This pattern stabilizes after 126,932,978 generations (126932978M). It fits into a 20x20 bounding box. I will post the script I used to help find it in the ‘Golly Scripts’ topic sometime soon. It is not a fully automated script though, as it requires some ma...
- November 18th, 2022, 12:32 pm
- Forum: Help / Support
- Topic: Thread for basic questions
- Replies: 5356
- Views: 1536511
Re: Thread for basic questions
Can we make another snark/syringe? x = 15, y = 17, rule = B3/S23 5bo$4bobo$4bob3o$b2obo4bo$bobobobobo$3bobob2o4b2o$2bobo8bo$3bo7bobo$11b 2o2$bo$2bo$3o3$2o$2o! x = 15, y = 17, rule = B3/S23 12bo$12bobo$12b2o2$4b2o$4b2o4$2ob2o$ob2obobo$5b2obo$b2obo3b3o$bo3b3o3b o$2b3o3b3o$5bo2bo$4b2o! The first react...
- November 17th, 2022, 12:40 am
- Forum: Other Cellular Automata
- Topic: Extended Life Extensions
- Replies: 1073
- Views: 193741
Re: Extended Life Extensions
Is this p10 dot sparker new or did I rediscover it? x = 6, y = 8, rule = StateInvestigator .2A$.A2.A2$5.A2$3.2A$2.DE$DED! Related family of beehive eating reaction oscillators (p7, 8, 10, 12, and something), and an unrelated oscillator. x = 69, y = 9, rule = StateInvestigator 30.2A$2.2A9.2A15.2A13....
- November 16th, 2022, 7:23 pm
- Forum: Help / Support
- Topic: Thread for basic questions
- Replies: 5356
- Views: 1536511
Re: Thread for basic questions
Is there an official name for this spark? x = 3, y = 4, rule = b3/s23 bo$3o$3o$bo! I've decided to finally create a wiki page for this thing under the name of line-of-six spark , with some other names that I've seen thrown around listed in the introductory section with references. So perhaps this i...
- November 16th, 2022, 4:35 pm
- Forum: Other Cellular Automata
- Topic: Extended Life Extensions
- Replies: 1073
- Views: 193741
Re: Extended Life Extensions
Is this p10 dot sparker new or did I rediscover it?
Code: Select all
x = 6, y = 8, rule = StateInvestigator
.2A$.A2.A2$5.A2$3.2A$2.DE$DED!
- November 16th, 2022, 12:03 pm
- Forum: Patterns
- Topic: Execution of Old Guns by Variable-Speed Firing Squad
- Replies: 1146
- Views: 665620
Re: Execution of Old Guns by Variable-Speed Firing Squad
p100 gun reduced from 37x37 (1369-cell BB) to 39x32 (1248-cell BB) using a thinner p5 boat from jslife's p5 sparkers of all things: x = 39, y = 32, rule = B3/S23 3b2o2b2ob2o20bo$b3obo2bobobo8bo3b2o3b3o$o4b2obo3bo2bo3b3o2bobo2bo$ob3o 3bo3bobob2o3bo3bo3b2o$bo2b2obo4bobo2bo2bo$5b2o3b3o4bo2bo16b2o$7bo4...
- November 15th, 2022, 3:30 pm
- Forum: Patterns
- Topic: Thread for your speculative elementary conduits
- Replies: 374
- Views: 93852
Re: Thread for your speculative elementary conduits
Not necessarily an elementary conduit, but a neat reaction nonetheless: x = 38, y = 28, rule = LifeSuper 9.2A$9.2AB$10.B$10.5B$8.10B$8.10B$8.2BD10BD$8.2B2D10BD$8.B2D11B2D$8. 13B2D$7.14BD$7.17B.B$7.27B2.B$7.25BDB.B2A$8.2B2C18B3D3B2A$9.2B2C17BDB DB.2B$9.2BC18BD3B$9.16B2.6B$9.14B$4.3B2.9BD6B$2.16BD8B$....
- November 14th, 2022, 10:05 am
- Forum: Other Cellular Automata
- Topic: Miscellaneous Discoveries in Other Cellular Automata
- Replies: 4487
- Views: 1095836
Re: Miscellaneous Discoveries in Other Cellular Automata
Is that a 3-cell predecessor to a quadratic growth puffer I smell?
Btw the replicator doesn't work in this rule
Code: Select all
x = 5, y = 1, rule = B2ce3aik/S01
obobo!
- November 12th, 2022, 6:08 pm
- Forum: Patterns
- Topic: Thread For Your Useless Discoveries
- Replies: 4798
- Views: 1945701
Re: Thread For Your Useless Discoveries
Useless methuselah consisting of 2 r sequences:
Creates a qb, and later a mango.
Code: Select all
x = 4, y = 10, rule = LifeSuper
.2C$2.2C$2.C5$.2A$A2.A$.2A!
- November 11th, 2022, 12:53 pm
- Forum: Other Cellular Automata
- Topic: Miscellaneous Discoveries in Other Cellular Automata
- Replies: 4487
- Views: 1095836
Re: Miscellaneous Discoveries in Other Cellular Automata
If a 90-degree reflector is constructed, it could prove this rule omniperiodic. Current progress: x = 50, y = 12, rule = B2ce3ai/S01Super 19.A7.A16.A$21.A3.A20.2A$20.B5.B15.A$17.A2.2B.B.2B2.A10.A$4.A3.A10.2B A3BA2B$2.A7.A7.11B10.A$A2.2B.B.2B2.A6.9B13.A$2.2A.B.B.2A6.A3.2BD2B3.A $4.5B12.BDBDB12.A$5.DC...
- November 8th, 2022, 12:24 am
- Forum: General Discussion
- Topic: Unproven conjectures
- Replies: 406
- Views: 202404
Re: Unproven conjectures
My reason for inventing the IceNine "thought experiment" was to say that, while it's extraordinarily unlikely that any such thing as IceNine exists in real Life, it's also hard to imagine that anyone will be able to come up with an airtight proof of its nonexistence. ... But it might be a good idea...
- November 7th, 2022, 9:41 pm
- Forum: General Discussion
- Topic: Unproven conjectures
- Replies: 406
- Views: 202404
Re: Unproven conjectures
Gardens of Eden have been proven to exist. In other words, not all patterns have a predecessor.AlbertArmStain wrote: ↑November 7th, 2022, 6:15 pmAnything can be constructed in N number of cells
where N is not equal to infinity
- November 4th, 2022, 4:09 pm
- Forum: General Discussion
- Topic: Unproven conjectures
- Replies: 406
- Views: 202404
Re: Unproven conjectures
Can an Icenine theoretically exist? And if it could, couldn't one make the assumption that infinitely many unique instances or kinds of Icenine exist? Finally, If Icenines do exist, and multiple types of Icenine, couldn't one make the argument that 2 different of these hypothetical agars could be th...
- November 3rd, 2022, 8:09 pm
- Forum: Other Cellular Automata
- Topic: Miscellaneous Discoveries in Other Cellular Automata
- Replies: 4487
- Views: 1095836
Re: Miscellaneous Discoveries in Other Cellular Automata
Really sad posting this one, my computer died, and I lost tons of other objects in this rule. The rule mainly consists of tightly packed dots and dominoes, but possesses a c/2, a chaotic c/2 puffer, a replicator that's not exactly XOR and also just makes puffers, and some other cool oscillators lini...
- November 1st, 2022, 1:43 pm
- Forum: Help / Support
- Topic: Thread for basic questions
- Replies: 5356
- Views: 1536511
Re: Thread for basic questions
What is the bounding box of this gun? Is the entire rotor counted or just the stator? If the entire rotor counts, does this mean that edgeshooters such as hfx119h don't have any clearance at all?