Search found 900 matches
- February 4th, 2024, 3:49 am
- Forum: Scripts
- Topic: Logic Life Search
- Replies: 256
- Views: 158487
Re: Logic Life Search
Yeah, it considers two patterns distinct if they have different evolutions or different rules. I see how this isn't the behaviour you want in this case. I'll add it to the todo list, but LLS isn't my priority at the moment.
- July 26th, 2023, 9:42 am
- Forum: Patterns
- Topic: Life has been proven omniperiodic. What next?
- Replies: 33
- Views: 4217
Re: Life has been proven omniperiodic. What next?
I keep a little file of open problems. Sorry if some of them aren't self-explanatory. Spaceships of all speeds (and periods) Still life finitization problem 16x16 quadratic-growth One-cell thick UC (ships, oscs, etc.) 90-degree 2c/3 wire elbow. Any glider-constructible Life pattern can be constructe...
- July 23rd, 2023, 4:29 am
- Forum: Patterns
- Topic: POTY 2022 Voting Thread
- Replies: 46
- Views: 6704
Re: POTY 2022 Voting Thread
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- May 30th, 2023, 7:59 am
- Forum: Patterns
- Topic: Pattern Of The Year 2022 Nominations
- Replies: 75
- Views: 9388
Re: Pattern Of The Year 2022 Nominations
Thank you b3s23love for picking this up. Apologies to everyone for leaving you waiting.
- May 1st, 2023, 7:42 am
- Forum: General Discussion
- Topic: Unproven conjectures
- Replies: 347
- Views: 135090
Re: Unproven conjectures
AlbertArmStain wrote: ↑May 1st, 2023, 7:33 amDoes there exist a pattern which, when all cells in its bounding box are inverted, will become itself in any n generations? (excluding junk produced from the object)
Code: Select all
x = 4, y = 4, rule = B3/S23
b2o$4o$4o$b2o!
- April 2nd, 2023, 5:11 am
- Forum: General Discussion
- Topic: Thread for basic questions
- Replies: 4817
- Views: 1236683
Re: Thread for basic questions
Ah I see. I was thinking of 'rewindable' in the context of things like Gardens of Eden and the Grandfather problem, where the question is whether the pattern has any predecessors at all. Whereas you were thinking in the context of things like glider syntheses, where the question is whether gliders c...
- April 2nd, 2023, 3:54 am
- Forum: General Discussion
- Topic: Thread for basic questions
- Replies: 4817
- Views: 1236683
Re: Thread for basic questions
x = 117, y = 50, rule = B3/S23 29bob2o27bo48bob2o$29b2obo76b2obo$60bo$27b5o75b5o$27bo4bo2b2o23bo46bo 4bo2b2o$30bo2bo2bo73bo2bo2bo$30b2obobo24bo49b2obobo$27bo5bob2o70bo5bob 2o$26bobo4bo26bo45bobo4bo$26bo2bo2b2o72bo2bo2b2o$27b2o31bo46b2o2$60bo 2$60bo2$60bo2$60bo$19b2o78b2o$19b2o39bo38b2o2$60bo2$60bo2...
- March 22nd, 2023, 11:57 am
- Forum: The Sandbox
- Topic: Polyomino tilings
- Replies: 12
- Views: 6019
Re: Polyomino tilings
My friend Joseph Myers conducted arguably the most comprehensive study on tilings of polyominos, polyiamonds, and polyhexes: https://www.polyomino.org.uk/mathematics/polyform-tiling/ This was part of an attempt to find an aperiodic monotile; whilst unsuccessful in this regard, he succeeded in break...
- March 12th, 2023, 6:50 am
- Forum: Patterns
- Topic: Fuse thread
- Replies: 111
- Views: 21654
Re: Fuse thread
Questions arise: besides the wick posted before and the lame ant fence pointed to by you, are there more examples of structures with that same behaviour ? I can't explicitly remember one, but in my experience they often arise from any fuse that burns orthogonally at c. Are there similar pattern fam...
- March 12th, 2023, 5:32 am
- Forum: Patterns
- Topic: Fuse thread
- Replies: 111
- Views: 21654
- March 12th, 2023, 3:58 am
- Forum: Patterns
- Topic: Pattern Of The Year 2022 Nominations
- Replies: 75
- Views: 9388
Re: Pattern Of The Year 2022 Nominations
Thank you to carsoncheng for closing nominations above. Sorry for not being around to run this process. I recall previous years where the runner of the POTY nominations has also disappeared, but I didn't think it would happen to me. I suppose this is the inverse of the effect where lots of discoveri...
- January 14th, 2023, 6:09 am
- Forum: Patterns
- Topic: RCT remaining tasks
- Replies: 168
- Views: 24525
Re: RCT remaining tasks
My question is - Is it necessary for the resulting 6G synthesis to produce no NW or SE gliders? I've already ruled out those that produce SW gliders, since those go out into space at the speed limit. Unfortunately, the example pattern I provided isn't timed properly for use in the RCT, and it also ...
- January 11th, 2023, 1:52 pm
- Forum: Patterns
- Topic: Belated Pattern of the Year 2012 voting thread
- Replies: 30
- Views: 3077
Re: Belated Pattern of the Year 2012 voting thread
full results:https://docs.google.com/spreadsheets/d/1KDuown8E2Dfv4M7ouG4q3rE2OEM2HM3AawQqZ0uFlIw/edit#gid=0 [...] I believe you have 1 instead of 2 for dbell's opinion about 37P4H1V0. Fixing this makes third place a tie (and changes the most correlated patterns to Statorless p3' and '37P4H1V0'). Al...
- January 11th, 2023, 7:01 am
- Forum: Patterns
- Topic: Belated Pattern of the Year 2012 voting thread
- Replies: 30
- Views: 3077
Re: Belated Pattern of the Year 2012 voting thread
So i completly forgot about this. voting closed and results will be posted within a few hours By my count the results are as follows: 1 Statorless p3 Jason Summers 33 points 2 Direct stable Herschel duplicator Sergey Petrov 32 points 3 (tied) p4 glider reflector Karel Suhajda and Matthias Merzenich...
- January 8th, 2023, 6:03 am
- Forum: Patterns
- Topic: Pattern Of The Year 2022 Nominations
- Replies: 75
- Views: 9388
Re: Pattern Of The Year 2022 Nominations
I've moved the summaries of nominations to this LifeWiki page so that other people can edit them. Please continue to use this thread for discussion. Suggested corrections to several list entries in the first post: "3. Unsynthable still life by Ilkka Törmä and kuluma" → "3. Unsynthesizable still life...
- January 3rd, 2023, 3:36 am
- Forum: General Discussion
- Topic: Thread for basic questions
- Replies: 4817
- Views: 1236683
Re: Thread for basic questions
A phoenix is a pattern all of whose cells die in every generation, but that never dies as a whole. What happens if the requirement "in every generation" is relaxed to "in at least one generation"? Are there non-phoenix oscillators where all alive cells simultaneously die in some generation? These a...
- January 1st, 2023, 9:10 am
- Forum: Patterns
- Topic: Pattern Of The Year 2022 Nominations
- Replies: 75
- Views: 9388
Pattern Of The Year 2022 Nominations
It's time for POTY 2022! Nominate patterns in this thread. All patterns nominated must be in B3/S23 and have been discovered in 2022. To ensure enough time for nominations I will declare the end of nominations no sooner that one week after the latest nomination. Voting will then take place in a sepa...
- December 15th, 2022, 9:00 am
- Forum: Patterns
- Topic: Black holes in CGOL
- Replies: 23
- Views: 9074
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 border. Repeat this for all 2^n^2 patterns, and you have a border...
- November 23rd, 2022, 3:38 am
- Forum: General Discussion
- Topic: Thread for basic questions
- Replies: 4817
- Views: 1236683
Re: Thread for basic questions
Is it proven that there are no still-life glider eaters with recovery time 3? If yes, we may change the sentence The smallest known recovery time is 4 generations, attained by eater 1. on the LifeWiki page Eater into The smallest possible recovery time is 4 generations, attained by eater 1. . Yes, ...
- November 4th, 2022, 11:52 am
- Forum: General Discussion
- Topic: Unproven conjectures
- Replies: 347
- Views: 135090
Re: Unproven conjectures
The idea behind ice nine is that it arises in sufficiently large random soups. So it should be very easy to construct. You just smash together 10^100 gliders at random. And of course you can use the RCT to make this with 16 starting gliders.
- October 26th, 2022, 5:46 am
- Forum: General Discussion
- Topic: Thread for basic questions
- Replies: 4817
- Views: 1236683
Re: Thread for basic questions
Did anyone enumerate all distinct patterns with a given MCPS for smaller values? I just tried to enumerate patterns up to MCPS=4 manually and got 1, 2, 8, 38 respectively, but I might have missed/double-counted some patterns. x = 79, y = 39, rule = LifeHistory A3$A3.A$A2.A3$A2.A3.A3.A3.A4.A4.A$A2.B...
- October 1st, 2022, 3:26 pm
- Forum: General Discussion
- Topic: Unproven conjectures
- Replies: 347
- Views: 135090
Re: Unproven conjectures
What if the number of n-glider syntheses is asymptotic to BB(n)(the busy beaver function?( https://en.wikipedia.org/wiki/Busy_beaver )). There is evidence, such as why does the number suddenly jump from 71 2-glider collisions to over 460,000 3-glider ones? Besides, Life is undecidable, so of course...
- October 1st, 2022, 2:38 pm
- Forum: General Discussion
- Topic: Unproven conjectures
- Replies: 347
- Views: 135090
Re: Unproven conjectures
What if the number of n-glider syntheses is asymptotic to BB(n)(the busy beaver function?( https://en.wikipedia.org/wiki/Busy_beaver )). There is evidence, such as why does the number suddenly jump from 71 2-glider collisions to over 460,000 3-glider ones? Besides, Life is undecidable, so of course...
- September 15th, 2022, 3:50 am
- Forum: The Sandbox
- Topic: Penrose tiling with faked rendering
- Replies: 16
- Views: 2295
Re: Penrose tiling with faked rendering
I saw this related cool paper: https://langorigami.com/wp-content/uploads/2015/09/paper-pentasia.pdf John H. Conway [...] pointed out that one could create a surface in R^3 composed of equilateral triangles from a kite-dart Penrose tiling, in which each of the kite and dart quadrilaterals in the pla...
- September 4th, 2022, 12:58 pm
- Forum: General Discussion
- Topic: Golly suggestions
- Replies: 425
- Views: 204717
Re: Golly suggestions
On Linux, could we stop using the user's home directory for ~/.golly? The new consensus for dotfile locations seems to be the freedesktop.org standard. So the 'proper' place for GollyPrefs would be $XDG_CONFIG_HOME (which by default is ~/.config), while the user's Rules and Downloads would go in $XD...