Search found 92 matches

by NickGotts
July 3rd, 2018, 11:24 am
Forum: General Discussion
Topic: 1% Density Soups
Replies: 16
Views: 6932

Re: 1% Density Soups

Twisting is not necessary. If the sides of the toroidal domain are two consecutive fibonacci numbers, or at least have the same ratio, a single glider will cross the domain on different paths until it has crossed everywhere, so a single glider is guaranteed to interact with a single fixed target. S...
by NickGotts
July 2nd, 2018, 5:06 am
Forum: General Discussion
Topic: 1% Density Soups
Replies: 16
Views: 6932

Re: 1% Density Soups

It's true you can't have an infinite field on a computer, but you can work out a lot about what would happen on such a field using a computer - as I have in fact done. Basically, after a certain number of generations (expressed as a negative power of the initial density) the dynamics will be dominat...
by NickGotts
June 28th, 2018, 11:38 am
Forum: General Discussion
Topic: 1% Density Soups
Replies: 16
Views: 6932

Re: 1% Density Soups

A 1% density soup, although certainly interesting in itself, isn't really "sparse life". The entry in the lexicon (http://www.conwaylife.com/ref/lexicon/lex_s.htm) is: sparse Life This refers to the study of the evolution of a Life universe which starts off as a random soup of extremely low density....
by NickGotts
March 7th, 2018, 5:03 am
Forum: Patterns
Topic: Elementary knightship
Replies: 136
Views: 233211

Re: Elementary knightship

Congratulations!

For a name, I suggest "Sir Robin" (https://www.youtube.com/watch?v=jYFefppqEtE), since it's a knight running away as fast as possible!
by NickGotts
January 22nd, 2018, 7:38 am
Forum: Patterns
Topic: Largest and oldest methuselah ever found!
Replies: 23
Views: 10975

Re: Largest and oldest methuselah ever found!

I think it would also be nice to have a list of the ark-based methuselahs as well. - 77topaz Basically, any ark that produces a backward glider stream can be combined with a small object to the rear to produce one. Exactly what object, and where, will change the outcome, and some of them (there see...
by NickGotts
January 17th, 2018, 6:45 am
Forum: Patterns
Topic: Largest and oldest methuselah ever found!
Replies: 23
Views: 10975

Re: Largest and oldest methuselah ever found!

I should do something about that old blog! For one thing, I didn't quite understand what a blog is supposed to be, so it's really just a website on which I've plonked various patterns. Maybe I should repost them on ConwayLife. TDiff's pattern is interesting in that the backward stream of gliders run...
by NickGotts
January 15th, 2018, 11:00 am
Forum: General Discussion
Topic: Life Thermodynamics
Replies: 7
Views: 3499

Re: Life Thermodynamics

A point about tori. On a square torus, low densities can leave gliders buzzing round the torus forever. However, if there's any difference between x and y dimensions, a glider will sweep out multiple diagonals before returning to its starting point, and hence is more likely to hit something. It's al...
by NickGotts
January 15th, 2018, 10:54 am
Forum: General Discussion
Topic: Life Thermodynamics
Replies: 7
Views: 3499

Re: Life Thermodynamics

Your work on Sparse Life is amazing! Thanks for the compliment! After a longish break, I've just restarted some Sparse Life related work, and hope to post about it soon. My first goal is to do a complete search of all patterns up to 10 cells (Paul Callahan checked all up to 9 cells some 20 years ag...
by NickGotts
January 12th, 2018, 8:39 am
Forum: General Discussion
Topic: Life Thermodynamics
Replies: 7
Views: 3499

Re: Life Thermodynamics

dvgrn kindly drew this thread to my attention. I've done quite a bit of work on Sparse Life, and published a few papers and book chapters on it (details on my website nickgotts.weebly.com - contact me if you're interested in copies of some of these). I don't know of any previous work on Dense Life a...
by NickGotts
November 5th, 2014, 8:02 pm
Forum: Patterns
Topic: 23 cells quadratic growth (new record)
Replies: 34
Views: 38002

Re: 23 cells quadratic growth (new record)

run exhaustive searches on 11 cells linear to collect as much as possible variations on 11 cells linear growth. That sounds like you've done an exhaustive search on 10 cells. Is that right? It's something I've been meaning to do for years (along with re-checking Paul Callahan's exhaustive search fo...
by NickGotts
November 4th, 2014, 7:27 am
Forum: Patterns
Topic: 23 cells quadratic growth (new record)
Replies: 34
Views: 38002

Re: 23 cells quadratic growth (new record)

Brilliant!
by NickGotts
October 26th, 2014, 6:31 pm
Forum: Patterns
Topic: 23 cells quadratic growth (new record)
Replies: 34
Views: 38002

Re: 24 cells quadratic growth (new record)

Here is another one. Those are the only two. There could be further possibilities involving more gliders, such as this: x = 22, y = 28, rule = B3/S23 2o$2o4$3o$o$bo18$19b3o$19bo$20bo! I don't know how many 16-cell switch-engine pairs you know of. If you're interested, I could post the ones I know (...
by NickGotts
October 25th, 2014, 5:43 pm
Forum: Patterns
Topic: 23 cells quadratic growth (new record)
Replies: 34
Views: 38002

Re: 24 cells quadratic growth (new record)

As for the second part 2G + Blinker -> Switch engine, unfortunately the current recipes I've found generate glider emitting switch engine only with opposite direction input gliders. I wasn't clear enough. I was thinking of taking two gliders leaving the switch-engine pair in the same direction, and...
by NickGotts
October 25th, 2014, 1:26 pm
Forum: Patterns
Topic: 23 cells quadratic growth (new record)
Replies: 34
Views: 38002

Re: 24 cells quadratic growth (new record)

I posted brief congrats on the "Making switch-engines" thread, but repeat them here! I couldn't recall exactly how long the 26-cell record has stood, but I see from the wiki it was 8 years. I wonder if there's a way of getting a 22-cell pattern by hitting a distant blinker with one glider from a swi...
by NickGotts
October 25th, 2014, 12:52 pm
Forum: Patterns
Topic: Making switch-engines
Replies: 45
Views: 56420

Re: Making switch-engines

Here are some 2 gliders + blinker -> switch engine interactions (one of them was the basis for the 24 cell quadratic
simsim314 wrote:Here is a surprise! 3 glider synthesis of switch engine (3 gliders infinite growth).
Great finds! And many congrats on the 24-cell quadratic growth!
by NickGotts
October 14th, 2014, 8:58 am
Forum: Patterns
Topic: Soup search results
Replies: 2142
Views: 1253675

Re: Soup search results

I've uploaded to "Golly scripts" in the Scripts forum, code to test whether the current position is "quiescent", i.e. consists solely of still lifes, oscillators, gliders and *WSSs, with the gliders and *WSSs being so placed that they will never interact with each other, or with any of the still lif...
by NickGotts
October 14th, 2014, 8:54 am
Forum: Scripts
Topic: Golly scripts
Replies: 247
Views: 196677

Re: Golly scripts

Here is Python code to test whether the current pattern is "quiescent": that is, consists solely of still lifes, oscillators, gliders and *WSSs, with the gliders and *WSSs being so placed that they will never interact with each other, or with any of the still lifes or oscillators. # Code to test whe...
by NickGotts
October 14th, 2014, 7:54 am
Forum: Patterns
Topic: Soup search results
Replies: 2142
Views: 1253675

Re: Soup search results

dvgrn wrote:I suppose there aren't any switch engines showing up with just two ash objects?
There are some where a switch engine gets started, but the exhauset kills it. In (I think) all the glider plus 3 objects I posted there, one of the objects is just a stabiliser.
by NickGotts
October 14th, 2014, 7:50 am
Forum: Patterns
Topic: Soup search results
Replies: 2142
Views: 1253675

Re: Soup search results

wildmyron wrote:Do you have an archive of this kind of reaction?
Those I listed in the "Making switch-engines" thread are all I have, but I'll be using the new soup search program to look for more, and will post them if found.
by NickGotts
October 13th, 2014, 12:56 pm
Forum: General Discussion
Topic: apgsearch: a high-performance soup searcher
Replies: 147
Views: 101625

Re: apgsearch: a high-performance soup searcher

dvgrn wrote:What OS are you running Golly on?
Ah, I think the problem was not the OS, but the version of Golly - I was inadvertenly running on 2.4 It seems to be working fine on 2.7b2-win-x64.
by NickGotts
October 13th, 2014, 11:45 am
Forum: General Discussion
Topic: apgsearch: a high-performance soup searcher
Replies: 147
Views: 101625

Re: apgsearch: a high-performance soup searcher

Just trying apgsearch for the first time, and am getting a Python error. There's a stack ofcalls, but thew most recent is: line 1247 in census g.setrule("APG_CoalesceObjects_" + self.rg.alphanumeric) RuntimeError: Given rule is not valid in any algorithm. I have Python 2.7 installed. I've selected B...
by NickGotts
October 13th, 2014, 10:11 am
Forum: Patterns
Topic: Soup search results
Replies: 2142
Views: 1253675

Re: Soup search results

wildmyron wrote:But I have no idea if they are of any interest.
They are to me!! Thanks.
by NickGotts
October 9th, 2014, 10:48 am
Forum: Patterns
Topic: Soup search results
Replies: 2142
Views: 1253675

Re: Soup search results

Lewis wrote: 20-cell predecessor (can maybe be reduced): Yes it can, to 16 cells: x = 16, y = 16, rule = B3/S23 12bo$12b2o$12bo2bo2$13bobo$14bo7$3o$bo2bo$5bo$2bobo! In my naming schema for switch-engine pairs, this is NHAA. Your third pattern also has a 16-cell predecessor, which I call NH00: x = 15...
by NickGotts
October 3rd, 2014, 5:08 am
Forum: Patterns
Topic: Making switch-engines
Replies: 45
Views: 56420

Re: Making switch-engines

Does the bolded bit imply you've surveyed all possible ways that an R-pentomino or a glider can collide with 2 blonks? With two widely separated blonks, yes. So, the r-pentomino runs to its conclusion, spitting out 3 salvos (of 1, 2 and 3 gliders (the 1-salvo - the single glider - means we need not...
by NickGotts
July 15th, 2014, 4:29 pm
Forum: Patterns
Topic: Half-bakery reaction with glider
Replies: 191
Views: 195653

Re: Half-bakery reaction with glider

Many congratulations to all concerned! The catalog of known ship velocities is getting quite complicated.