[Math] Topology software

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I've been studying topology lately and my teacher showed us some animations which were very very pretty. I'm interested in a freeware (possibly open-source) software that can deal with surfaces, I'm especially interested in polygons with identifications. By which I mean that I'd love to have a software that would render the surface given by a certain identification of edges of a polygon, but I wasn't able to find one, I'd appreciate anything that could get me started.

Best Answer

This is only indirectly related to what you asked for, but Jeff Weeks has some interesting topology / geometry software over at GeometryGames.org. You haven't played billiards until you've tried playing it on a hyperbolic surface...

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