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Faceting for Polychora

 
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Jabe



Joined: 12 Jan 2008
Posts: 46
Location: Somewhere between Texas and the Fourth Dimension

PostPosted: Fri Feb 13, 2009 10:44 pm    Post subject: Faceting for Polychora Reply with quote

One feature I would like to see is the ability to facet a polychoron - One project I would like to do is generate the vertex figures of the polytera and this feature would make it go a whole lot faster than writing OFF files for each one.

Any chance that this could be added, one way to impliment it is by selecting four vertices in the polychoron - and this generates a realm and highlights all corealmic vertices, then we can use these to do 3-D faceting on to generate a 3-D cell.
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robertw
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Joined: 10 Jan 2008
Posts: 394
Location: Melbourne, Australia

PostPosted: Sun Feb 22, 2009 1:17 pm    Post subject: Reply with quote

Sorry for the radio silence lately. I've been moving house and had trouble getting internet connected again!

Faceting in 4D presents some problems. In 3D, a facet is repeated over the symmetry group, but in 4D I don't know what the symmetries are! Stella4D does a good job of identifying cells/faces/edges/verts of the same type, but this is based on various heuristics and can be wrong. So repeating a 3D facet is not straight forward. Establishing all the symmetries of a 4D polytope is not straight forward either. So for now I don't know a way to implement 4D faceting. And it would be too tedious to create each individual facet one by one.

Rob.
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