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.
smooth reflexive
|
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.
|
normal polytopes
|
Some polytopes of interest in connection with the smooth projective
normality conjecture.
|
permutation polytopes
|
Examples and background about permutation polytopes.
|
Birkhoff faces
|
Combinatorial types of faces of the Birkhoff polytope up to dimension 8.
|
other
|
other lattice polytopes
|
2s2s
|
A collection of 2-simple and 2-simplicial polytopes I compiled for my
PhD-thesis. Currently not actively maintained.
|
regular
|
Some regular and semi-regular 3-dimensional polytopes (in german).
|