Search found 521 matches

by pcallahan
February 27th, 2020, 11:46 am
Forum: The Sandbox
Topic: Language Barrier
Replies: 54
Views: 5457

Re: Language Barrier

We call them 七联骨牌 and 五联骨牌 respectively. Monomino is often referred to as 单方块, domino is 多米诺, and any higher polyominos (多联骨牌) are named *联骨牌. Honestly I haven't heard about anything where greek numeral prefixes are translated phonetically into Chinese. (By the way, there's no official translation ...
by pcallahan
February 27th, 2020, 2:09 am
Forum: The Sandbox
Topic: Low-tech universal computing
Replies: 22
Views: 4003

Re: Low-tech universal computing

Latest tiling. This time I glued them to cardboard from a cereal box. I am now waiting for the magnet sheets.
20200226_215403.jpg
20200226_215403.jpg (1.63 MiB) Viewed 3189 times
Though it's pretty obviously a still life, you can see here:

Code: Select all

x = 11, y = 9, rule = B3/S23
9b2o$b2o3b2o2bo$bobobo2b2o$2b2ob2o$4bo$4bo$2b2ob2o$o2bobo2bo$2o5b2o!
by pcallahan
February 26th, 2020, 3:49 pm
Forum: The Sandbox
Topic: Language Barrier
Replies: 54
Views: 5457

Re: Language Barrier

Glider = 格莱达, Γλιδερ, Глидэр Herschel = 河数, Χερστσελ, Хэршел B-heptomino = 比荷普多米诺, Μπι-Χεπτομινο, би-Хэптомино R-pentomino = 阿盘多米诺, Αρ-Πεντομινο, Ар-Хэптомино Pi-heptomino = 派荷普多米诺 Πι-Χεπτομινο, Пи-Хэптомино Glider = Планер Herschel =Хершель B-heptomino = B-гептамино R-pentomino = R-пентамино Pi-he...
by pcallahan
February 25th, 2020, 12:24 pm
Forum: The Sandbox
Topic: cellular automata according to Max Planck
Replies: 228
Views: 21750

Re: hubi's bombardment site

sorry to burst your bubble, but Max Planck left this world at around the same time John von Neumann's CA entered it it's a nice concept, though I think the high concept here was CA as they would have been treated by Max Planck, kind of like what if Hannibal had airships to transport his elephants (...
by pcallahan
February 25th, 2020, 11:06 am
Forum: The Sandbox
Topic: Low-tech universal computing
Replies: 22
Views: 4003

Re: Low-tech universal computing

Here are some patterns constructed with physical tiles like the above. The blank tile can always be omitted if you're OK leaving holes, while the four-dot tile is only useful for making blocks if you're doing still life patterns. The yellow tiles are printed on card stock, which is too lightweight t...
by pcallahan
February 25th, 2020, 10:40 am
Forum: The Sandbox
Topic: Are non-computerized mathematical "recreations" dead?
Replies: 10
Views: 2506

Re: Are non-computerized mathematical "recreations" dead?

Well, computers are really the only things nowadays. I wish we could go back to the world of 1970, but we cannot. You've persuaded me that if my CA tiles are ever going to take off, I probably need a phone app to go with them. This might even be fun (I am not a great judge of this). After placing t...
by pcallahan
February 20th, 2020, 1:52 am
Forum: General Discussion
Topic: Tiling with placement rules for still life and p2 oscillators
Replies: 15
Views: 3399

Re: Tiling with placement rules for still life and p2 oscillators

Here's a variation I haven't fully fleshed out. Suppose instead of half dots split across tiles, each tile or else its neighbor owns the dot. This is similar to counting the next two cells clockwise, but it can vary from tile to tile. We can indicate that a tile owns the dot by attaching the other h...
by pcallahan
February 19th, 2020, 1:24 pm
Forum: The Sandbox
Topic: Random posts
Replies: 5024
Views: 611215

Re: Posts

It’s true. Feats we never say about are a waste of time. How is it less of a waste of time to be acknowledged for feats? I suspect that somewhere in the universe, and probably this galaxy, there are beings who vastly outshine my pitiful attempts to understand the world around me. (And, yeah, yeah, ...
by pcallahan
February 16th, 2020, 1:53 pm
Forum: The Sandbox
Topic: Squiggles
Replies: 7
Views: 2158

Re: Squiggles

Simple connected blobs without holes can be applied to recognize still life neighborhoods in CGOL. This illustrates the idea at a schematic level, but you could just as easily use thicker lines to make blobs. Use an approach like the petal tiles to collect neighbor counts, but instead of representin...
by pcallahan
February 14th, 2020, 11:27 am
Forum: Other Cellular Automata
Topic: Any serious survey of constructions in Margolus Critters?
Replies: 39
Views: 10874

Re: Any serious survey of constructions in Margolus Critters?

This probably isn't worth posting but eh, whatever. I found this silly thing the other night while procrastinating. It's a clunky 90° reflector that gets its shape/phase changed every time a glider passes (a whole cycle is 8 gliders). Input must be of the form 8n + 24 where: n >= 0. x = 53, y = 35,...
by pcallahan
February 13th, 2020, 12:49 pm
Forum: The Sandbox
Topic: Squiggles
Replies: 7
Views: 2158

Re: Squiggles

Interesting. Here's a not well thought out game idea-- Use two or three colors for the black blobs. If I calculate correctly, there would be 90 tiles with two colors, 300 with three, and 1400 with four. Then the object of a two person (or more?) game would be to build a complete four tile pattern, ...
by pcallahan
February 12th, 2020, 4:49 pm
Forum: The Sandbox
Topic: Squiggles
Replies: 7
Views: 2158

Re: Squiggles

I just realized that the simple connected "blobs" are actually spanning trees of the boundary nodes (a node is just the interval of black space on each boundary). This is true for the corner tiles above as well as the original tiles. This explains some of the requirements for connectivity. If there ...
by pcallahan
February 11th, 2020, 8:00 pm
Forum: The Sandbox
Topic: Thread for Non-CA Academic Questions
Replies: 329
Views: 96908

Re: Thread for Non-CA Academic Questions

What's the general formula for the area of a regular n-gon with side length 1? I know, not very academic question You can look that up pretty easily (I checked). If you want to work it out yourself, think of the n-gon as consisting of n isosceles triangles with a base length 1 and angle 360°/n. Div...
by pcallahan
February 9th, 2020, 3:41 pm
Forum: The Sandbox
Topic: Squiggles
Replies: 7
Views: 2158

Re: Squiggles

Here's one I've only sketched out, but what if we connect corners instead of sides with non-crossing arcs. Then which corner placements result in single closed curves without holes. For this size, there are 14 possible corner tiles. And here are some examples of combining them. Screen Shot 2020-02-0...
by pcallahan
February 8th, 2020, 1:46 pm
Forum: The Sandbox
Topic: Low-tech universal computing
Replies: 22
Views: 4003

Re: Low-tech universal computing

Sorry for non-constructive comments, but I wish I had a set of those tiles. Do you have a printer? All my physical tiles so far are done with an inkjet printer, scrap cardboard (like a cereal box), glue and scissors. It limits me a bit (though I have done triangles and hexagons besides squares usin...
by pcallahan
February 8th, 2020, 12:32 pm
Forum: The Sandbox
Topic: Squiggles
Replies: 7
Views: 2158

Re: Squiggles

Sure like tiling, don’t you. You noticed! This actually looks pretty good, if I had these in real life I would start matching them together to see what they would look like. Well, if you have a printer, these ones are sized for printing and cutting. I haven't done it myself with these, at least not...
by pcallahan
February 7th, 2020, 10:06 pm
Forum: The Sandbox
Topic: Squiggles
Replies: 7
Views: 2158

Squiggles

The idea is to start with tiles based on matching points like parentheses. The points along the bottom of each tile are connected with circular arcs. E.g., ()(()) would connect positions 0 and 1, 2 and 5, 3 and 4. When you place these tiles together, you may get one or more closed curves. Which ones...
by pcallahan
February 6th, 2020, 3:34 pm
Forum: The Sandbox
Topic: cellular automata according to Max Planck
Replies: 228
Views: 21750

Re: cellular automata according to Max Planck

Moosey wrote:
February 6th, 2020, 7:48 am
otismo wrote:
February 6th, 2020, 1:07 am
maybe some of you Max Planck types could make this a real racetrack...
Then you're out of luck; our only "Max Planck type" isn't known for constructing patterns
And where has our Plonkus Maximus gone? I was starting to think he was getting the hang of how to post here, at least in Sandbox.
by pcallahan
February 5th, 2020, 5:58 pm
Forum: The Sandbox
Topic: Above user in a nutshell
Replies: 722
Views: 95218

Re: Above user in a nutshell

"Help! I'm in a nutshell! How did I get into this bloody great big nutshell? What kind of shell has a nut like this?" (except substitute Moosey for Austin Powers.)

Note that this will work for any "above user" thus proving the general theorem.
by pcallahan
February 4th, 2020, 2:33 pm
Forum: The Sandbox
Topic: Random posts
Replies: 5024
Views: 611215

Re: Random posts

The six Moore neighborhood tiles... "You know, for kids!" blocktiles.png It doesn't look good or anything and I'm a kid. All right then, a minimalist approach. And a new pitch*: "It's very grown up!" (Peppa Pig) Screen Shot 2020-02-04 at 10.30.22 AM.png Just wait. After I build the phalanx with the...
by pcallahan
February 4th, 2020, 1:30 pm
Forum: General Discussion
Topic: Tiling with placement rules for still life and p2 oscillators
Replies: 15
Views: 3399

Re: Tiling with placement rules for still life and p2 oscillators

This is really just a slight tweak on the first split-dot approach (update 4 in this post: https://conwaylife.com/forums/viewtopic.php?f=7&t=2188&start=100#p87584), though somehow I was most of the way done before realizing it. I think it makes for a better visualization. The main idea is to use cir...
by pcallahan
February 1st, 2020, 2:11 pm
Forum: The Sandbox
Topic: Random posts
Replies: 5024
Views: 611215

Re: Random posts

JP21 wrote:
January 31st, 2020, 11:46 pm
It doesn't look good or anything and I'm a kid.
I'll need to work on a better pitch. :|
by pcallahan
February 1st, 2020, 3:00 am
Forum: General Discussion
Topic: Realizing still life constraints as a planar tiling
Replies: 110
Views: 55196

Re: Realizing still life constraints as a planar tiling

I feel as if still life violations would jump out at me, but I should probably test that with real non-still-life patterns. For some additional comparisons, here's a glider and blinker. I think the violations mostly jump out, but I might have missed the cell birth on the glider if I wasn't looking ...
by pcallahan
January 31st, 2020, 10:17 pm
Forum: The Sandbox
Topic: Random posts
Replies: 5024
Views: 611215

Re: Random posts

The six Moore neighborhood tiles... "You know, for kids!"
blocktiles.png
blocktiles.png (12.99 KiB) Viewed 1241 times
by pcallahan
January 31st, 2020, 7:18 pm
Forum: General Discussion
Topic: Realizing still life constraints as a planar tiling
Replies: 110
Views: 55196

Re: Realizing still life constraints as a planar tiling

Back before computers, I did use up lots of graph paper (and erasers were cheaper than new paper). Still have some of that around here somewhere. At some point it did become unnecessary to count neighbors, just recognize the patterns. I had an early TRS-80 computer before I ever heard of Life, so I...