Polytopes
The following is a collection of polytopes on which we tested our volume
computation codes. The polytopes are given in the file format
specified by
David Avis and
Komei Fukuda.
We included the .ext
- and .ine
-files
(if this sounds weird to you, you had better read the
Vinci documentation,
it comprises a description of the file format).
The data are split into separate files, each of them corresponding
to a different problem class.
-
cube
: hypercubes with -1 and 1 as vertex coordinates, in dimension 2 to 14. cross
: cross polytopes, the duals of the cubes above, also in dimension 2 to 14.rh
: polytopes constructed by randomly choosing hyperplanes tangent to the sphere; after unpacking, filesrh_d_m
will be created, where d stands for the dimension and m for the number of hyperplanes.rv
: dually to the previous category these polytopes have vertices randomly distributed on the sphere.cc
:cc_8_7
tocc_8_11
, the product of two cyclic polyhedra with seven to eleven vertices, each in dimension 4. The final dimension is therefore 8.-
ccp
: complete cut polytopes on five to seven vertices. The polytopes have been scaled by 2 and then translated by 1 to contain the origin in their interor. So their vertices have coordinates +1 and -1 now. -
metric
: after expansion, contains facets of the fourth (Fm_4
) to sixth (Fm_6
) metric polytope.