cross-polytope

GPTKB entity

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