Search found 876 matches

by pcallahan
November 5th, 2024, 6:00 pm
Forum: The Sandbox
Topic: Penrose tile adjacency without geometry
Replies: 4
Views: 335

Re: Penrose tile adjacency without geometry

I finally had a chance to tie all this together. First, here is some code to expand the "sun" arrangement of 5 kites (10 triangles) into triangles representing kite and dart halves. import sys NEW_EDGE = { 'd': [('dd', 'dk', 's')], 'k': [('kdk', 'kk', 'i'), ('kdd', 'kdk', 's')]} SPLIT_EDGE = { ('k',...
by pcallahan
October 9th, 2024, 11:34 pm
Forum: General Discussion
Topic: Tiling with placement rules for still life and p2 oscillators
Replies: 18
Views: 8690

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

Two more after printing more tiles. Fourteener and scorpion. There's not much point but it's fun putting these together and less complicated than the fully constrained still life tiles. 20241009_195429.jpg 20241009_200809.jpg Update: here are some other patterns and (below) my complete collection of...
by pcallahan
October 7th, 2024, 11:58 pm
Forum: General Discussion
Topic: Tiling with placement rules for still life and p2 oscillators
Replies: 18
Views: 8690

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

I went ahead and redesigned the tiles to avoid splitting dots, with the exception of center dots on live cells. Now when two adjacent tiles share a dot, the dot is assigned to the one farther clockwise and the other has a gap that fits it. 20241007_202032.jpg The models are on the same Printables li...
by pcallahan
October 6th, 2024, 11:45 am
Forum: General Discussion
Topic: Tiling with placement rules for still life and p2 oscillators
Replies: 18
Views: 8690

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

I made a 3D printable variation of the titles that show the Moore neighborhood directly instead of trying to improve symmetries. It is available through this Printables links, which has more pictures and a longer write-up: https://www.printables.com/model/1030076-moore-neighborhood-tiles-for-visuali...
by pcallahan
September 9th, 2024, 11:04 am
Forum: The Sandbox
Topic: Penrose tile adjacency without geometry
Replies: 4
Views: 335

Re: Penrose tile adjacency without geometry

Note that you can produce a symmetric layout using the same approach by initializing the starting adjacencies. E.g., if you want to start with a "sun" (five kites), you would begin with these adjacencies between the 10 kite halves, numbered 0 through 4 with - or + indicating whether each is flipped....
by pcallahan
September 9th, 2024, 1:16 am
Forum: The Sandbox
Topic: Penrose tile adjacency without geometry
Replies: 4
Views: 335

Re: Penrose tile adjacency without geometry

To follow up on this, I decided to construct the adjacencies while doing the deflation, using a local transformations. You might wonder (indeed I do) why I didn't do this in the first place. But I think the problem of finding the adjacencies directly from the strings was bothering me too much to sol...
by pcallahan
September 7th, 2024, 2:14 pm
Forum: The Sandbox
Topic: Penrose tile adjacency without geometry
Replies: 4
Views: 335

Penrose tile adjacency without geometry

This has been an on-going project for me that I could probably finish a lot faster if I would just concentrate, but there's no urgency. I have also been spending a lot of time working on 3D prints of Penrose tiles, which you can find here: https://www.printables.com/@PaulCallahan_1958695/collections...
by pcallahan
September 7th, 2024, 1:15 pm
Forum: General Discussion
Topic: CGOL patterns as NFTs
Replies: 185
Views: 27566

Re: CGOL patterns as NFTs

Some people find the idea of NFTs based on CGoL patterns to be harmless, maybe entertaining, maybe even a useful way to make interesting CGoL discoveries visible to a wider audience. Some people have wondered whether NFTs might be a way to encourage more people to put more resources into making new...
by pcallahan
July 19th, 2024, 3:40 pm
Forum: The Sandbox
Topic: Waiting for a warranty repair on 3D printer so I'll write instead
Replies: 5
Views: 2421

Re: Waiting for a warranty repair on 3D printer so I'll write instead

Here is one more variation on these triangles, this time keeping the tabs hidden. The details are here: https://www.printables.com/model/948066-penrose-tiling-based-on-flippable-triangles-with-h You can make a kite and dart tiling or a rhomb tiling depending on your color choice. 20240718_214512.jpg...
by pcallahan
July 19th, 2024, 9:56 am
Forum: The Sandbox
Topic: Single aperiodic tiling
Replies: 13
Views: 5439

Re: Single aperiodic tiling

Here's a new printable tile , this time done as a single piece. There are circles on the underside to indicate flipped tiles. They hold together with interlocking tabs and holes. The holes are hidden except for small slits on the faces of the tiles. The tabs stick out of the concave “L” boundaries o...
by pcallahan
June 30th, 2024, 2:51 pm
Forum: The Sandbox
Topic: Single aperiodic tiling
Replies: 13
Views: 5439

Re: Single aperiodic tiling

I finally got back to this with the goal of adding hidden tabs and slots to hold the tiles together. The trick was where to put the tabs and slots. It turns out that you only have to put them on the long kite edges, alternating tab and slot. However, to make the tile flippable, you need to reverse t...
by pcallahan
June 25th, 2024, 8:57 pm
Forum: General Discussion
Topic: Life Lessons...?
Replies: 35
Views: 21294

Re: Life Lessons...?

However, I don't believe this is anything close to a "either-or" classification. There are sorting hats and there are sorting hats. Even the sorting in Harry Potter isn't exclusive. For instance, a member of Gryffindor can be smart (Hermione) and a member of Ravenclaw can be brave (Luna). Hufflepuf...
by pcallahan
June 8th, 2024, 1:50 pm
Forum: The Sandbox
Topic: Waiting for a warranty repair on 3D printer so I'll write instead
Replies: 5
Views: 2421

Re: Waiting for a warranty repair on 3D printer so I'll write instead

Small update: I decided to try printing the thick rhomb half in one piece with a snap-off support. See details on printables page: https://www.printables.com/model/905407-robinson-triangles-alternative-version It works OK, but it is a little rougher. I am not sure which approach I like better. The t...
by pcallahan
June 7th, 2024, 3:37 pm
Forum: The Sandbox
Topic: Waiting for a warranty repair on 3D printer so I'll write instead
Replies: 5
Views: 2421

Alternative 3D printed Robinson (Penrose) tiles

The 3D printer has been up and running for a while already, but it took me time to get back to this. After making the kite and dart half triangles, I realized they did not follow Robinson's deflation rule after all, so I did a redesign here: https://www.printables.com/model/905407-robinson-triangles...
by pcallahan
May 28th, 2024, 11:56 am
Forum: General Discussion
Topic: Realizing still life constraints as a planar tiling
Replies: 137
Views: 127264

Re: Realizing still life constraints as a planar tiling

I finally got around to writing code for finding the pieces needed to build various still lifes. It is kind of a mess so I won't share for now, but it outputs a parts list as multiples of pieces (e.g. L1Ax4 means four copies of the empty cell with that label). lifepieces.png The symbols are just per...
by pcallahan
May 27th, 2024, 10:26 pm
Forum: The Sandbox
Topic: A glider in my breadcrumbs
Replies: 3
Views: 1127

Re: A glider in my breadcrumbs

In the unlikely event that I'm the only one who sees it. image7581.png Define a live cell as a grid square at least 25% covered by breadcrumbs. Yes it's pareidolia , "the tendency for perception to impose a meaningful interpretation on a nebulous stimulus, usually visual, so that one detects an obje...
by pcallahan
May 27th, 2024, 10:06 pm
Forum: The Sandbox
Topic: A glider in my breadcrumbs
Replies: 3
Views: 1127

Re: A glider in my breadcrumbs

A switch engine in my name, shortened to PAULC: x = 19, y = 7, rule = B3/S23 3ob3obobobo3b3o$obobobobobobo3bo$3ob3obobobo3bo$o3bobobobobo3bo$o3bobo b3ob3ob3o2$2o2b2ob7o2b2o! I posted this several years ago and I'm not currently set up to find these, but it's not too difficult to tweak anything you w...
by pcallahan
May 27th, 2024, 3:46 pm
Forum: The Sandbox
Topic: A glider in my breadcrumbs
Replies: 3
Views: 1127

A glider in my breadcrumbs

It's about 3.5mm across and I used macro on my phone to get a good shot.
20240527_104142.jpg
20240527_104142.jpg (459.46 KiB) Viewed 1127 times
This leapt right out at me from a few feet above as I was pouring milk in my cereal.
by pcallahan
May 21st, 2024, 12:10 am
Forum: General Discussion
Topic: ChatGPT 3.5 and Google Bard on Life
Replies: 17
Views: 12157

Re: ChatGPT 3.5 and Google Bard on Life

Conway's Game of Life in Stable Diffusion XL (two tries): The 2nd image is actually quite an impressive piece of art. Far more interesting than some famous but ridiculously over-priced abstract art (looking at you Mark Rothko). My favorite is the first, though it's monochrome. It reminds me of a ci...
by pcallahan
May 20th, 2024, 11:13 pm
Forum: General Discussion
Topic: ChatGPT 3.5 and Google Bard on Life
Replies: 17
Views: 12157

Re: ChatGPT 3.5 and Google Bard on Life

Conway's Game of Life in Stable Diffusion XL (two tries):
conways-game-of-lifeglider-gun.jpeg
conways-game-of-lifeglider-gun.jpeg (273.45 KiB) Viewed 9186 times
conways-game-of-life (1).jpeg
conways-game-of-life (1).jpeg (359.78 KiB) Viewed 9186 times
And Conway's Game of Life glider gun, which is even worse.
conways-game-of-life.jpeg
conways-game-of-life.jpeg (284.08 KiB) Viewed 9186 times
by pcallahan
May 12th, 2024, 6:38 pm
Forum: Other Cellular Automata
Topic: 3D printable tiles for Rule 110
Replies: 0
Views: 8216

3D printable tiles for Rule 110

I have made 3D-printable tiles to implement Rule 110, using an idea I posted about before. A more detailed write-up is at https://www.printables.com/model/877779-wolfram-rule-110-automata-jigsaw-tiles along with printable models. Here is an example: 20240511_215032.jpg based on these shapes: 2024051...
by pcallahan
May 9th, 2024, 1:52 am
Forum: The Sandbox
Topic: the randominiminiminiminiminity of tommyaweosme's buried cavern tavern
Replies: 353
Views: 45212

Re: the randominiminiminiminiminity of tommyaweosme's buried cavern tavern

create list peices peices = peices.txt repeat 8: x = pick 3 random from peices glue(x,circle) peices = peices - x the solution is different every time There are several reasons why this won't work. First, if you pick three pieces, they might not fit together. If you pick two, the third piece is uni...
by pcallahan
May 8th, 2024, 10:45 am
Forum: The Sandbox
Topic: Is this a new puzzle?
Replies: 3
Views: 1680

Re: Is this a new puzzle?

I have redone my "coaster puzzle" as a 3D print and posted the model here: https://www.printables.com/model/872521-disk-puzzle-with-optional-twist-lock-box To take better advantage of 3D printing, I added a twist-lock box that holds all the pieces only when they are assemble into disks. Here it is p...
by pcallahan
April 8th, 2024, 11:34 pm
Forum: General Discussion
Topic: Realizing CGOL a 3d tiling
Replies: 48
Views: 123790

Re: Realizing CGOL a 3d tiling

Finally, I wrote this up and created a Printables for it: https://www.printables.com/model/837487 ... le-cellula
by pcallahan
April 7th, 2024, 4:51 pm
Forum: General Discussion
Topic: Realizing CGOL a 3d tiling
Replies: 48
Views: 123790

Re: Realizing CGOL a 3d tiling

Note: I corrected the picture, which had steps 1 and 3 swapped. I also highlighted the live cells. I finally put together the 4 phases of a moving critter glider and took pictures. This shows the steps as a composite, and I have also altered the images to correct for perspective. The glider moves u...