Name Description
Parent Directory
AS:6-18.poly A 6-polytope with 121 facets
BIR3:4-6.poly The 3-by-3 Birkhoff polytope
BIR4:9-24.poly The 4-by-4 Birkhoff polytope
BIR5:16-120.poly The 5-by-5 Birkhoff polytope
BIR6:25-720.poly The 6-by-6 Birkhoff polytope
CF:10-11.poly A 10-polytope with coefficient 96
CF:4-5.poly A 4-polytope with coefficient 2
CF:5-6.poly A 5-polytope with coefficient 3
CF:6-7.poly A 6-polytope with coefficient 5
CF:7-8.poly A 7-polytope with coefficient 9
CF:8-9.poly An 8-polytope with coefficient 18
CF:9-10.poly A 9-polytope with coefficient 42
CNG:5-6a.poly A 5-simplex with a congruent twin
CNG:5-6b.poly A 5-simplex with a congruent twin
CRO:3-6.poly A 3-dimensional cross polytope
CRO:4-8.poly A 4-dimensional regular (!) cross polytope
CRO:5-10.poly A 5-dimensional cross polytope
CUT3:3-4.poly The cut polytope CUT(3)
CUT4:6-8.poly The cut polytope CUT(4)
CUT5:10-16.poly The cut polytope CUT(5)
CUT6:15-32.poly The cut polytope CUT(6)
CUT7:21-64.poly The cut polytope CUT(7)
CUT8:28-128.poly The cut polytope CUT(8)
CYC:5-8.poly A cyclic 5-polytope with 8 vertices
EG:5-12.poly The 5-polytope with 40 facets
EQU:5-7a.poly A 5-polytope with a twin
EQU:5-7b.poly A 5-polytope with a twin
HAM:8-16.poly A regular cross polytope
HC:3-4.poly The 3-dimensional half-cube
HC:4-8.poly A 4-dimensional regular (!) cross polytope
HC:5-16.poly The 5-dimensional half-cube
HC:6-32.poly The 6-dimensional half-cube
HC:7-64.poly The 7-dimensional half-cube
HC:8-128.poly The 8-dimensional half-cube
MJ:16-17.poly A 16-polytope with coefficient 451
MJ:32-33.poly A 32-polytope with huge coefficients
OA:10-44.poly A 2-neighborly 10-polytope
OA:5-10.poly A 2-neighborly 5-polytope
OA:5-18.poly A 5-polytope with a vertex of degree 17
OA:5-24.poly A 5-polytope with 112 edges
OA:6-13.poly A 2-neighborly 6-polytope
OA:7-18.poly A 2-neighborly 7-polytope
OA:8-25.poly A 2-neighborly 8-polytope
OA:9-33.poly A 2-neighborly 9-polytope
TC:10-83.poly A 10-polytope with 41591 facets
TC:11-106.poly An 11-polytope with 250279 facets
TC:12-152.poly A 12-polytope with 1975935 facets
TC:13-254.poly A 13-polytope with 17464356 facets
TC:7-30.poly A 7-polytope with 432 facets
TC:8-38.poly An 8-polytope with 1675 facets
TC:9-48.poly A 9-polytope with 6875 facets
This collection of interesting 0/1-polytopes has been compiled in connecttion with Günter M. Ziegler's ``Lectures on 0/1-Polytopes.''
The names of the polytope data files are of the form NN:d-n.poly, where NN is an identifier of the polytope (e. g. initials of whoever supplied the example), d is the dimension of the polytope, n is the number of vertices.
For comprehensive information about low-dimensional 0/1-polytopes see also Oswin Aichholzer's page on 0/1-polytopes. You can also obtain polymake files from there.