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Mar 18, 2018 at 19:39 history bounty awarded NoOneIsHere
Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Apr 13, 2017 at 12:39 history edited CommunityBot
replaced http://codegolf.stackexchange.com/ with https://codegolf.stackexchange.com/
Apr 8, 2017 at 18:12 comment added Level River St @TonyRuth face vertices are in no particular order (they don't go round the face in a clockwise sense or anything). For higher dimensions, there is no standard order. The hypercubes have faces listed in numerical order, so the 2nd and 3rd vertices are diagonally opposite (you will need to swap 1st & 2nd or 3rd and 4th vertex if you want them in a clockwise/anticlockwise sense.) The dodecahedron should have faces in clockwise/anticlockwise order but the 120cell will have the face vertices in any and all orders.
Apr 8, 2017 at 18:01 comment added Level River St @TonyRuth the key was finding the best algorithm. Less lines = less room for error. The first thing I did was check what existed besides the 3 infinite dimensional families and that's when I decided to answer. Will Jagy's comments were a godsend (I was thinking about that type of solution as wikipedia's method looked hard) so the non-integer coordinates are kept to a minimum. I wanted to get it done before the bounty expired so checking has not been massively thorough, and I haven't plotted them. Let me know of any errors - I corrected the 24cell a few hours ago.
Apr 8, 2017 at 14:42 vote accept Tony Ruth
Jul 16, 2018 at 17:14
Apr 8, 2017 at 14:42 comment added Tony Ruth Wow this is an awesome answer!! I am very surprised you were able to do this in ~200 lines. I ran the cube, tetrahedron, 600-cell and a few others, and they looked good. It's hard to verify the output since there is so much of it; it is pretty easy for the output to be longer than the program, but I'll take your word for it. I'm going to try loading this into openGL and view the platonic solids which should be straightforward since all the faces are listed. I think adding tesselations in flat space would be easy, and I might try that as well.
Apr 8, 2017 at 13:48 vote accept Tony Ruth
Apr 8, 2017 at 14:42
Apr 8, 2017 at 13:48 history bounty awarded Tony Ruth
Apr 8, 2017 at 13:00 history edited Level River St CC BY-SA 3.0
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Apr 8, 2017 at 12:11 history edited Level River St CC BY-SA 3.0
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Apr 8, 2017 at 12:05 history edited Level River St CC BY-SA 3.0
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Apr 8, 2017 at 11:27 history edited Level River St CC BY-SA 3.0
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Apr 7, 2017 at 18:27 history edited Level River St CC BY-SA 3.0
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Apr 7, 2017 at 6:42 history edited Level River St CC BY-SA 3.0
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Apr 6, 2017 at 23:34 history edited Level River St CC BY-SA 3.0
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Apr 6, 2017 at 21:45 history edited Level River St CC BY-SA 3.0
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Apr 6, 2017 at 20:57 history answered Level River St CC BY-SA 3.0