Search found 101 matches
- April 9th, 2022, 4:18 pm
- Forum: Patterns
- Topic: Small Quadratic Growth Patterns
- Replies: 19
- Views: 15472
Re: Small Quadratic Growth Patterns
I see you (dani) added a comment to the "Systematic Survey of Small Patterns" on Nov.30th 2018. I discovered after my last posting on that thread that I might have overlooked some multi-cluster patterns with fewer than 10 cells, started work on redoing that part of the search, then got a job (which ...
- April 9th, 2022, 3:53 pm
- Forum: Patterns
- Topic: Small Quadratic Growth Patterns
- Replies: 19
- Views: 15472
Re: Small Quadratic Growth Patterns
Interesting! There must be some there I wasn't aware of - I haven't kept up with simsim's postings - but there are also some you don't have. The six below only differ trivially, but they are all composed of a single cluster, which none of your 27 do, and I think one was the first 10-cell infinite gr...
- April 9th, 2022, 11:20 am
- Forum: Patterns
- Topic: Small Quadratic Growth Patterns
- Replies: 19
- Views: 15472
Re: Small Quadratic Growth Patterns
Many congratulations on this work, dani! When simsim beat the 26-cell record I'd established with Wedge-grow, I made some attempts at beating the 23 mark established by switch-engine ping-pong, but with no progress.
Could you post your 27 10-cell switch engines?
Could you post your 27 10-cell switch engines?
- December 21st, 2021, 11:36 am
- Forum: Patterns
- Topic: (2,1)c/6 technology thread
- Replies: 45
- Views: 11352
Re: (2,1)c/6 technology thread
It's a nice pattern, but I doubt whether it produces unlimited novelty. If it goes on producing novelty long enough, it will (almost certainly) eventually produce sub-patterns like the original puffer-train, which travels at c/2 and leaves a permanent tail. If this happens in the right (wrong?) plac...
- July 18th, 2021, 11:22 am
- Forum: Patterns
- Topic: Structures resistant to attack
- Replies: 9
- Views: 1947
Re: Structures resistant to attack
Just a couple of comments. 1) IRL, living things are not "resistant to attack" in the sense used in the first comment on this thread - they do resist attack, but none exist that can repel all possible attacks. And they don't reproduce in empty space; rather they require the presence of highly-struct...
- September 26th, 2020, 12:03 pm
- Forum: General Discussion
- Topic: Life Lessons...?
- Replies: 29
- Views: 8035
Re: Life Lessons...?
Conway's Life has also turned out to be a fairly effective Sorting Hat, so to speak, that can divide up Lifenthusiasts into "mathematician" and "engineer" categories. - dvgrn I think I belong to a third category (possibly the only active member!): "naturalists". I'm mostly interested in what kinds ...
- July 28th, 2020, 2:44 pm
- Forum: General Discussion
- Topic: Hardware for running Golly
- Replies: 2
- Views: 1733
Re: Hardware for running Golly
Thanks calcyman, that's very helpful!
- July 26th, 2020, 1:07 pm
- Forum: General Discussion
- Topic: Hardware for running Golly
- Replies: 2
- Views: 1733
Hardware for running Golly
I'm an ignoramus when it comes to hardware. I'm planning to buy a new desktop machine (or more likely, hire my son to build one for me), as the one he built a decade ago is showing its age. Golly is probably the most demanding software I run on a regular basis - either single, highly complex pattern...
- April 13th, 2020, 7:31 am
- Forum: Website Discussion
- Topic: John Horton Conway
- Replies: 28
- Views: 16587
Re: John Horton Conway
The UK Guardian has reprinted online an article on Conway from 2015: https://www.theguardian.com/science/201 ... -the-world, outlining some of his other contributions as well as GoL.
Condolences to his family and friends.
Condolences to his family and friends.
- January 29th, 2020, 5:50 pm
- Forum: Patterns
- Topic: POTY 2019 Nomination Thread
- Replies: 64
- Views: 24808
Re: POTY 2019 Nomination Thread
I nominate the patterns found by Nick Gotts in his Systematic survey of small patterns , including Bunnies 10a which broke a long-standing record for population 10 methuselahs. Thanks! I'm surprised (but of course, honoured) for this to be nominated, but I note: 1) That the systematic search of sma...
- December 24th, 2019, 3:19 pm
- Forum: Other Cellular Automata
- Topic: Puffer with unstable trail (B37/S23)
- Replies: 30
- Views: 24982
Re: Puffer with unstable trail (B37/S23)
So it does - thanks.
- December 23rd, 2019, 12:46 pm
- Forum: Other Cellular Automata
- Topic: Puffer with unstable trail (B37/S23)
- Replies: 30
- Views: 24982
Re: Puffer with unstable trail (B37/S23)
The c/2 puffer growing from this: x = 3, y = 7, rule = B37/S23 b2o$2o$bo2$bo$2o$b2o! or even this: x = 3, y = 9, rule = B37/S23 bo$bo$2o2$2bo2$2o$bo$bo! emerged out of a large soup. I'd be surprised if it hasn't been reported before, but it doesn't appear in this thread. As with a lot of B37/S23 puf...
- December 23rd, 2019, 8:00 am
- Forum: Other Cellular Automata
- Topic: Thread for basic non-CGOL questions
- Replies: 963
- Views: 283595
Re: Thread for basic non-CGOL questions
muzik wrote: Would exponential growth be possible with a linearly expanding neighbourhood? The most straightforward way to get exponential growth would be to work on a regular tiling of a hyperbolic surface (where the angles of a triangle sum to less than 180 degrees). For example, such a surface c...
- December 23rd, 2019, 6:33 am
- Forum: Patterns
- Topic: Systematic survey of small patterns
- Replies: 43
- Views: 49986
Re: Systematic survey of small patterns
This is more of a comment than a request, but I would personally be interested to see the results of running each starting 9 and 10 cell pattern for exactly 12 generations to check for oscillators and spaceships of periods that are a factor of 12. Thanks for your interest. I'd have to do something ...
- December 22nd, 2019, 6:15 am
- Forum: Patterns
- Topic: Systematic survey of small patterns
- Replies: 43
- Views: 49986
Re: Systematic survey of small patterns
The survey of single-cluster 10-cell patterns is complete, after 8 months. The total number of patterns generated and tested is 90465963 - right in line with my original estimate of just over 90 million. The only infinite growth patterns found are the one found by Paul Callahan in 1997, and the 5 tr...
- November 25th, 2019, 11:46 am
- Forum: Patterns
- Topic: Systematic survey of small patterns
- Replies: 43
- Views: 49986
Re: Systematic survey of small patterns
The search of single-cluster 10-cell patterns is nearly done - I've generated and tested 85,844,356 patterns, and estimate the total is around 91,000,000. The search has turned up two more patterns that lead into a figure 8 to add to the one I noted in an earlier comment. I found another 5. but on c...
- November 8th, 2019, 5:15 pm
- Forum: Patterns
- Topic: Long-lived methuselahs
- Replies: 79
- Views: 106242
Re: Long-lived methuselahs
Another slight improvement (in terms of life-span) to bunnies10. Let's call this one bunnies10b: lasts 17431. x = 9, y = 6, rule = B3/S23 o$bo$2bo$3bo$2b2obo$6b3o! Bounding box 9*6, MCPS 11. Here's an alternative form - the two have the same immediate successor: x = 9, y = 6, rule = B3/S23 o$2bo$bo$...
- November 8th, 2019, 5:14 pm
- Forum: Patterns
- Topic: Systematic survey of small patterns
- Replies: 43
- Views: 49986
Re: Systematic survey of small patterns
Another slight improvement (in terms of number of life-span) to bunnies10. Let's call this one bunnies10b: lasts 17431. x = 9, y = 6, rule = B3/S23 o$bo$2bo$3bo$2b2obo$6b3o! Bounding box 9*6, MCPS 11. Here's an alternative form - the two have the same immediate successor: x = 9, y = 6, rule = B3/S23...
- November 8th, 2019, 6:19 am
- Forum: Patterns
- Topic: Soup search results
- Replies: 2589
- Views: 1904692
Re: Soup search results
However, it's definitely true that infinite-growth patterns haven't traditionally been included in the "methuselah" category. Otherwise there are all kinds of difficult cases that would have to be considered, especially from Nick Gotts' old "Patterns with Eventful Histories" blog , from back in the...
- September 19th, 2019, 10:10 am
- Forum: Patterns
- Topic: Long-lived methuselahs
- Replies: 79
- Views: 106242
Re: Long-lived methuselahs
Cross-posted from "Systematic Survey of Small Patterns". Here are two more variants of bunnies10a (10-cell single-cluster patterns that last 17425 steps). The one on the left has a bounding box 7*5, and an MCPS of 11, which according to the usual criteria for methuselahs makes it the preferred varia...
- September 19th, 2019, 10:09 am
- Forum: Patterns
- Topic: Systematic survey of small patterns
- Replies: 43
- Views: 49986
Re: Systematic survey of small patterns
Here are two more variants of bunnies10a (10-cell single-cluster patterns that last 17425 steps). The one on the left has a bounding box 7*5, and an MCPS of 11, which according to the usual criteria for methuselahs makes it the preferred variant. x = 27, y = 5, rule = B3/S23 bo19bo$3o17b2obo$3bobo19...
- June 12th, 2019, 5:44 am
- Forum: Patterns
- Topic: Systematic survey of small patterns
- Replies: 43
- Views: 49986
Re: Systematic survey of small patterns
Sarp wrote: Are you sure? Code: Select all / Show in Viewer x = 8, y = 6, rule = B3/S23 7bo$6b2o$2o$o$o$bo! You're right of course - and in an earlier post, I described the 8-cell patterns that produce a pentadecathlon plus debris as well as those which produce a pentadecathlon alone - but managed ...
- June 8th, 2019, 11:44 am
- Forum: General Discussion
- Topic: Is anyone studying the active part of soups?
- Replies: 12
- Views: 9989
Re: Is anyone studying the active part of soups?
Rhombic wrote : Currently analysing some large 3% density soups to understand what the initial steps in growth would be in an aperiodic, arbitrarily low-density infinite plane. I don't think looking at 3% soups will get you far in understanding the arbitrarily low-density infinite plane ("Sparse Li...
- June 8th, 2019, 5:00 am
- Forum: Patterns
- Topic: Systematic survey of small patterns
- Replies: 43
- Views: 49986
Re: Systematic survey of small patterns
This is not something that has yet turned up in my survey of single-cluster 10-cell patterns, but something I noticed should do so later. As far as oscillator periods are concerned, we know that 3 cells are required for period 2, 7 for period 3, and 8 for period 15. Turns out 10 are needed for perio...
- June 5th, 2019, 4:19 am
- Forum: Patterns
- Topic: Long-lived methuselahs
- Replies: 79
- Views: 106242
Re: Long-lived methuselahs
OK, I can confirm that the two 10-cell patterns already reported are the only 17425-step methuselahs to turn up so far.