Search found 490 matches

by pcallahan
January 22nd, 2020, 3:43 pm
Forum: General Discussion
Topic: Thread for basic questions
Replies: 1830
Views: 486590

Re: Thread for basic questions

It's unclear if this is at all practical, but here are 70 tiles for period-2 patterns, treating rotations as equivalent but without eliminating any. White and dark gray squares are stable dead and live cells respectively, while the red and blue cells are alternating. There are no jigsaw contours, bu...
by pcallahan
January 22nd, 2020, 10:32 am
Forum: General Discussion
Topic: Thread for basic questions
Replies: 1830
Views: 486590

Re: Thread for basic questions

Sokwe wrote:
January 22nd, 2020, 2:38 am
I suppose my previous post was missed with the page change, but to reiterate, one of these is possible:
Oops. You're right. I missed it.
by pcallahan
January 22nd, 2020, 2:08 am
Forum: General Discussion
Topic: Thread for basic questions
Replies: 1830
Views: 486590

Re: Thread for basic questions

A bit late, but here's a database dump of 7808 unique P2 rotors. (if I did the SQL query correctly...) Some are huge and redundant.One line per object, tab delimited with Hickerman's rotor descriptor, wcode and rle. With the help of sed and awk and some rle conversion scripts, I ran this through my...
by pcallahan
January 21st, 2020, 10:51 pm
Forum: General Discussion
Topic: Thread for basic questions
Replies: 1830
Views: 486590

Re: Thread for basic questions

I ran my script on Koenig's oscillators also including reversals and flips of any windows present. There were 220 total or 36 missing out of 256. By reducing that to unique tiles up to rotation, I got: * * * * * O * O * O * o * o * o O O O o o O O o O * O O O o o * o O o o o O o o ...where * is live...
by pcallahan
January 21st, 2020, 5:03 pm
Forum: General Discussion
Topic: Thread for basic questions
Replies: 1830
Views: 486590

Re: Thread for basic questions

Well, I can definitely extract windows from that RLE when I get a chance.
by pcallahan
January 21st, 2020, 4:02 pm
Forum: The Sandbox
Topic: [Nonsense Writing] interpret GoL facts as real life facts
Replies: 6
Views: 391

Re: [Nonsense Writing] interpret GoL facts as real life facts

Of course a living caterpillar cell is itself a universal constructor and a lot more and a Life "cell" is something at the sub-quark level by comparison, so it is surely a coincidence if these things line up.
by pcallahan
January 21st, 2020, 2:44 pm
Forum: General Discussion
Topic: Thread for basic questions
Replies: 1830
Views: 486590

Re: Thread for basic questions

Is it worth checking all the known p2 oscillators in jslife, looking for those sixty missing windows? If it's easy, sure. I can check any list of oscillators provided either as empty-line-separated bitmaps like lifesrc output or some other way, like one RLE per line. -- Or in Koenig's Class 2 datab...
by pcallahan
January 21st, 2020, 11:13 am
Forum: General Discussion
Topic: Thread for basic questions
Replies: 1830
Views: 486590

Re: Thread for basic questions

Going with a brute force approach of enumerating 8x8 p2s with lifesrc and tabulating 2x2 neighborhoods, I found these unusual p2s. x = 29, y = 8, rule = Life 3b2ob2o4bo2b2o9bo$2bobob2o4bobobo4b2o3b2o$bobo8bo8bobo2b2o$ob3ob2o6bo 8b4obo$2obo3bo5bo8bo5bo$6bo8bo6b2obo$2obobo5b2o3bo9b2o$2ob2o8bob2o! They...
by pcallahan
January 21st, 2020, 12:03 am
Forum: The Sandbox
Topic: Low-tech universal computing
Replies: 22
Views: 2590

Re: Low-tech universal computing

A slight variation of the tiles in which the petals are all the same color. This provides the dubious benefit of being able to compose each tile as a union of the two sets shown to the right copied and rotated as needed: a white corner section and a black corner section with disconnected petals on i...
by pcallahan
January 20th, 2020, 7:22 pm
Forum: The Sandbox
Topic: cellular automata according to Max Planck
Replies: 216
Views: 10219

Re: cellular automata according to Max Planck

KennyFromSouthPark wrote:
January 20th, 2020, 1:17 pm
Human species homo sapiens sapiens is doomed to go extinct because they simply do not stop kissing the asses of their leaders and treat those who don't with scorn.
Do you understand the difference between kowtowing to authority and showing respect for your peers?
by pcallahan
January 20th, 2020, 5:05 pm
Forum: General Discussion
Topic: Unproven conjectures
Replies: 86
Views: 40336

Re: Unproven conjectures

I made the analysis a lot harder than necessary. Just start with the two forced empty cells as shown, and head left, filling in the ?s. o o . . o o . . . o o . . o o . . . o o . . o o . . . o o . . o o . . . o o . . . o o . . . o o . . o o . . . o o . . o o . . . o o . . o o . . . o o . . o o . ? ?...
by pcallahan
January 20th, 2020, 11:49 am
Forum: General Discussion
Topic: Thread for basic questions
Replies: 1830
Views: 486590

Re: Thread for basic questions

As part of his work on de Bruijn diagrams, McIntosh did some work on Period 2 Phoenixes. Yes, that's probably it. But I never really looked at it carefully enough to understand the result. Here's the link cited the paper on oscillators with David Buckingham (it doesn't work anymore) http://www.cs.c...
by pcallahan
January 20th, 2020, 1:06 am
Forum: General Discussion
Topic: Thread for basic questions
Replies: 1830
Views: 486590

Re: Thread for basic questions

I was thinking about period-2 oscillators as a constraint-satisfaction problem. Suppose you assign each cell a value 00, 11, 01, 10 to indicate its even/odd values in a period-2 oscillator. Then trivially, there are at most 4^4 or 256 possible 2x2 patches in the oscillators. You can reduce it with r...
by pcallahan
January 19th, 2020, 9:39 pm
Forum: The Sandbox
Topic: Famous Quotes
Replies: 210
Views: 68589

Re: Famous Quotes

对牛弹琴 Pronounced "duì niú tán qín", a famous Chinese idiom that roughly translates to "mooing at a piano player" (at least this is how my bovine friends explained it to me). To be more accurate, it means "playing an instrument for a cow to hear" -- obviously a cow will never visibly appreciate your ...
by pcallahan
January 19th, 2020, 5:59 pm
Forum: The Sandbox
Topic: Random posts
Replies: 4287
Views: 458661

Re: Random posts

Cellular automata based Space Invaders? Yeah, I know it's an old idea to make an actual "game" out of the Game of Life, but I was thinking about what it would be like to release upward-moving orthogonal spaceships from a Space Invaders style launcher. That would make a mess in Life rather than give ...
by pcallahan
January 18th, 2020, 10:58 pm
Forum: The Sandbox
Topic: Low-tech universal computing
Replies: 22
Views: 2590

Re: Low-tech universal computing

This is another way to use all 16 2x2 tiles (considering rotations distinct), and the result can itself be tiled periodically. Screen Shot 2020-01-18 at 6.45.28 PM.png This is a well known infinite period-2 oscillator (though I forget where I saw it; is there a finitization?). The petals make it cle...
by pcallahan
January 17th, 2020, 7:18 pm
Forum: The Sandbox
Topic: Famous Quotes
Replies: 210
Views: 68589

Re: Famous Quotes

Norville: You know, for kids! It has economy, simplicity, low production cost, potential for mass appeal, and all that spells out great profitability. I had the boys down at R&D throw together this little prototype so our discussion here can have some focus and to give you gentlemen of the board a ...
by pcallahan
January 17th, 2020, 3:15 pm
Forum: The Sandbox
Topic: Low-tech universal computing
Replies: 22
Views: 2590

Re: Low-tech universal computing

One comment about the practicality of this method: If you take the assembled eater and block with "petals" (shown a couple posts back) and position them in different ways adjacent to each other, it is very easy to spot the places where it is safe to put the block and where it breaks the still life c...
by pcallahan
January 17th, 2020, 3:08 pm
Forum: The Sandbox
Topic: Random posts
Replies: 4287
Views: 458661

Re: Random posts

Google translates 遇到霸王条款 as "encountered overlord clause". That sounds scary. Be careful around those overlords! The results may be irreversible.
by pcallahan
January 16th, 2020, 4:03 pm
Forum: The Sandbox
Topic: cellular automata according to Max Planck
Replies: 216
Views: 10219

Re: cellular automata according to Max Planck

Now I know cellular automata from Planck to *plonk*.

Note: the first few posts were pretentious but creative and at least a little thought-provoking, not terrible for sandbox. It's a shame he cannot abide any criticism.
by pcallahan
January 16th, 2020, 12:16 pm
Forum: The Sandbox
Topic: Famous Quotes
Replies: 210
Views: 68589

Re: Famous Quotes

对牛弹琴

Pronounced "duì niú tán qín", a famous Chinese idiom that roughly translates to "mooing at a piano player" (at least this is how my bovine friends explained it to me).

It is a useful thing to keep in mind when tempted to reply to certain postings here and elsewhere on the internet.
by pcallahan
January 16th, 2020, 11:47 am
Forum: The Sandbox
Topic: Low-tech universal computing
Replies: 22
Views: 2590

Re: Low-tech universal computing

Here are glider transitions with the new tile set. One way to look at this is in terms of k-petal "daisies." Birth occurs on 3-petal black daisies. Survival occurs on 2 or 3-petal white daisies. I find it easier to spot the daisies than count dice pips. Anyone prefer the other tiles? I'm curious abo...
by pcallahan
January 16th, 2020, 4:09 am
Forum: The Sandbox
Topic: Low-tech universal computing
Replies: 22
Views: 2590

Re: Low-tech universal computing

The flower petal approach is interesting. It eliminates the need for the red lines, and it is overall more legible I think. For one thing, it's easier to find the neighbors being counted.

It is a little alien looking though. Anyone have a strong preference?
Screen Shot 2020-01-16 at 12.06.09 AM.png
Screen Shot 2020-01-16 at 12.06.09 AM.png (112.91 KiB) Viewed 2335 times
by pcallahan
January 15th, 2020, 11:48 pm
Forum: General Discussion
Topic: Realizing still life constraints as a planar tiling
Replies: 110
Views: 48952

Re: Realizing still life constraints as a planar tiling

Note that we can turn this into an automatic still life tiling by moving slightly into 3D. The idea is sketched below (and I emphasize it's just the idea, not a complete construction). Screen Shot 2020-01-15 at 7.30.57 PM.png The dots can be placed so that they have octagonal symmetry. "Color" the d...
by pcallahan
January 15th, 2020, 7:31 pm
Forum: The Sandbox
Topic: Famous Quotes
Replies: 210
Views: 68589

Re: Famous Quotes

We must, however, acknowledge, as it seems to me, that man with all his noble qualities... still bears in his bodily frame the indelible stamp of his lowly origin.
Charles Darwin