PD Dr. Andreas Paffenholz
Polytope Database
This page collects links to collections of polytopes that I have
produced or used in my work. Most of them are in the
polymake format.
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smooth reflexive
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A complete list of all smooth reflexive lattice polytopes (duals of
Fano polytopes) in dimensions 3 to 9. They were generated with a
reimplementation the classification algorithm of Øbro
using polymake.
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normal polytopes
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Some polytopes of interest in connection with the smooth projective
normality conjecture.
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permutation polytopes
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Examples and background about permutation polytopes.
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Birkhoff faces
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Combinatorial types of faces of the Birkhoff polytope up to dimension 8.
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other
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other lattice polytopes
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2s2s
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A collection of 2-simple and 2-simplicial polytopes I compiled for my
PhD-thesis. Currently not actively maintained.
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regular
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Some regular and semi-regular 3-dimensional polytopes (in german).
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