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Aug 25, 2023 at 22:17 vote accept mrburch
Aug 25, 2023 at 21:58 comment added mrburch @RyanBudney I think this is what I’ll end up doing. I just wanted to check if anyone had made a program already.
Aug 25, 2023 at 20:28 comment added Ryan Budney I think if you look around the Regina source code, you can find the python script to generate all the 3-manifold (triangulations) you get by gluing opposite faces of a dodecahedron. That code could be readily adapted to essentially any convex polyhedron gluing. It is ?likely? in the census code, but it might be in the utilities.
Aug 25, 2023 at 20:17 comment added Ryan Budney You could write a python script to generate the triangulation from the polyhedron identifications, then feed it to Snappy or Regina. I think that's how several of the triangulations in Regina were generated -- for example, the Seifert-Weber dodecahedral space. If your polyhedron is convex then the algorithm would be pretty straightforward: subdivide the faces then cone off in the polyhedron.
Aug 25, 2023 at 20:12 history edited YCor CC BY-SA 4.0
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Aug 25, 2023 at 19:56 answer added Sam Nead timeline score: 2
Aug 25, 2023 at 19:46 history asked mrburch CC BY-SA 4.0