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Timeline for Try Triling ("Triangular-Tiling")

Current License: CC BY-SA 4.0

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May 27 at 14:24 comment added sarsaparilla By the way, ChatGPT (when asked) found an alternative solution to this puzzle!
May 16 at 13:32 comment added sarsaparilla @user23087 I know from experience that more puzzles of the same type get upvoted less and less on this site. But personally I would love to do more triling puzzles, like I occasionally do a galaxies puzzle on puzzle-galaxies.com, it is the ideal type of puzzle to do in-between tasks (it doesn't take that much of your time). Or are you willing to share the code that generates them?
May 16 at 13:06 comment added user23087 @sarsaparilla I do. I used a C++ program to generate potential instances of the puzzle by starting from a random valid tiling. The program filters out tilings with too few triangles or non-unique solutions. It then computes (purely subjective) ratings of beauty and difficulty. Out of around 10,000,000 instances it selected the 10,000 that were most beautiful and then gave me the beautiful ones it thought were easiest and hardest, which are the ones I posted. So, ahem, I could post more instances of the puzzle every day. But I don't think that would be popular!
May 16 at 8:46 comment added sarsaparilla This is a very fun puzzle type to solve. Do you have an algorithm that can generate puzzles like this?
May 11 at 4:11 comment added user23087 @dewiMorgan It makes life much easier for the solver since they don't have to spend time thinking of other triangles, and working out their areas. (I put the rule in to make the area computation easy.). But since most triangles with no axis aligned edge won't have integer area they won't be permitted anyway. But most triangles is not all triangles. Thanks to magic of Pythagorean triplets there are triangles like {(3,0),(8,10),(0,4)} which has area 25 but no axis-aligned edge. I think it would be possible to build a problem in which I triangle like that one provides an alternate solution.
May 10 at 23:27 comment added Dewi Morgan Can anyone come up with a layout where removing the rule "Every triangle has one (or more) edges that are either horizontal or vertical" would create additional solutions?
May 10 at 23:08 comment added Dewi Morgan This was a really fun and different puzzle, thank you for sharing!
May 9 at 21:00 history became hot network question
May 9 at 18:16 vote accept user23087
May 9 at 17:10 answer added PDT timeline score: 7
May 9 at 16:19 comment added ACB Here is the link for the other puzzle. And nice puzzling idea indeed!
May 9 at 15:07 answer added fljx timeline score: 8
May 9 at 14:51 answer added Prim3numbah timeline score: 8
May 9 at 14:11 comment added fljx Interesting puzzle. I've recreated the practise grid in Penpa if anyone else is interested. Use "free" edges to draw the triangles.
May 9 at 13:06 history edited PDT
edited tags
May 9 at 13:00 history asked user23087 CC BY-SA 4.0