| Polymake File | Ambient dim | Dim | Simple | Non degenerate | Diam | # Vertices | # Facets | Hamiltonian | Hirsch Number |
| polytope11.poly | 6 | 2 | Yes | Yes | 1 | 3 | 3 | Yes | 0 |
| polytope9.poly | 6 | 2 | Yes | Yes | 1 | 3 | 3 | Yes | 0 |
| polytope0.poly | 6 | 2 | Yes | Yes | 2 | 4 | 4 | Yes | 0 |
| polytope14.poly | 6 | 2 | Yes | Yes | 2 | 4 | 4 | Yes | 0 |
| polytope15.poly | 6 | 2 | Yes | Yes | 2 | 4 | 4 | Yes | 0 |
| polytope16.poly | 6 | 2 | Yes | Yes | 2 | 4 | 4 | Yes | 0 |
| polytope17.poly | 6 | 2 | Yes | Yes | 2 | 4 | 4 | Yes | 0 |
| polytope4.poly | 6 | 2 | Yes | Yes | 2 | 4 | 4 | Yes | 0 |
| polytope5.poly | 6 | 2 | Yes | Yes | 2 | 4 | 4 | Yes | 0 |
| polytope6.poly | 6 | 2 | Yes | Yes | 2 | 4 | 4 | Yes | 0 |
| polytope7.poly | 6 | 2 | Yes | Yes | 2 | 4 | 4 | Yes | 0 |
| polytope1.poly | 6 | 2 | Yes | Yes | 2 | 5 | 5 | Yes | 1 |
| polytope10.poly | 6 | 2 | Yes | Yes | 2 | 5 | 5 | Yes | 1 |
| polytope12.poly | 6 | 2 | Yes | Yes | 2 | 5 | 5 | Yes | 1 |
| polytope13.poly | 6 | 2 | Yes | Yes | 2 | 5 | 5 | Yes | 1 |
| polytope2.poly | 6 | 2 | Yes | Yes | 2 | 5 | 5 | Yes | 1 |
| polytope8.poly | 6 | 2 | Yes | Yes | 2 | 5 | 5 | Yes | 1 |
| polytope3.poly | 6 | 2 | Yes | Yes | 3 | 6 | 6 | Yes | 1 |
| Property | Value (Count) |
| Ambient dim | 6 (18) |
| Dim | 2 (18) |
| Simple | Yes (18) |
| Non degenerate | Yes (18) |
| Diam | 1 (2) 2 (15) 3 (1) |
| # Vertices | 3 (2) 4 (9) 5 (6) 6 (1) |
| # Facets | 3 (2) 4 (9) 5 (6) 6 (1) |
| Hamiltonian | Yes (18) |
| Hirsch Number | 0 (11) 1 (7) |
| Property | Description |
| Ambient dim | The ambient dimension of the polytope. This is just the product of the margin sizes. |
| Dim | The actual dimension of the polytope: The dimension of the affine hull of its vertices. |
| Simple | A boolean expressing if all vertices are simply-determined. |
| Non degenerate | A boolean value expressing if simple and full-dimensional for this polytope class. |
| Diam | The graph diameter |
| # Vertices | Number of vertices |
| # Facets | Number of facets |
| Hamiltonian | A boolean expressing graph hamiltonicity: Unknown indicates calcalculation was aborted due to large running time. |
| Hirsch Number | The Hirsch Number is (by formula) the number of facets minus dimension minus diameter. This value shows how far away the polytope is from being H-sharp. A non-positive value indicates an H-sharp polytope. |