Statements (27)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:Polygon
|
gptkbp:alsoKnownAs |
gptkb:orthoplex
gptkb:hyperoctahedron |
gptkbp:category |
regular polytope
|
gptkbp:dimensions |
n-dimensional
|
gptkbp:dualPolyhedron |
hypercube
|
gptkbp:edge |
n(2n-1)
|
gptkbp:faced |
2n
|
gptkbp:facetShape |
simplex
|
gptkbp:hasSpecialCase |
line segment (1D)
octahedron (3D) square (2D) |
https://www.w3.org/2000/01/rdf-schema#label |
cross-polytope
|
gptkbp:relatedTo |
simplex
hypercube |
gptkbp:Schläfli_symbol |
{3,3,...,4}
|
gptkbp:studiedBy |
gptkb:Ludwig_Schläfli
|
gptkbp:symmetry |
hyperoctahedral group
|
gptkbp:usedIn |
gptkb:geometry
coding theory data science combinatorics optimization |
gptkbp:vertexCoordinates |
(±1,0,0,...,0), (0,±1,0,...,0), ..., (0,0,...,±1)
|
gptkbp:vertices |
2n
|
gptkbp:bfsParent |
gptkb:Convex_polytope
|
gptkbp:bfsLayer |
6
|