Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:Polygon |
| gptkbp:alsoKnownAs |
gptkb:Hyperoctahedron
gptkb:Orthoplex |
| gptkbp:category |
gptkb:Convex_polytope
gptkb:Regular_polytope |
| gptkbp:dimensions |
n
|
| gptkbp:discoveredBy |
gptkb:Ludwig_Schläfli
|
| gptkbp:edge |
n(2n-2)
|
| gptkbp:faced |
2^n
|
| gptkbp:facets |
2n
|
| gptkbp:firstDimension |
Line segment
|
| gptkbp:fourthDimension |
gptkb:16-cell
|
| gptkbp:hasDual |
gptkb:Hypercube
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cross-polytope
|
| gptkbp:relatedTo |
gptkb:Hypercube
gptkb:Simplex |
| gptkbp:Schläfli_symbol |
{3,3,...,4}
|
| gptkbp:secondDimension |
gptkb:public_square
|
| gptkbp:symmetry |
gptkb:Coxeter_group_Bn
|
| gptkbp:thirdDimension |
gptkb:Octahedron
|
| gptkbp:usedIn |
gptkb:geometry
Combinatorics Optimization |
| gptkbp:vertexCoordinates |
(±1,0,0,...,0), (0,±1,0,...,0), ..., (0,0,...,±1)
|
| gptkbp:vertices |
2n
|
| gptkbp:bfsParent |
gptkb:Polygon
|
| gptkbp:bfsLayer |
5
|