|
gptkbp:instanceOf
|
gptkb:geometry
gptkb:Polygon
|
|
gptkbp:alsoKnownAs
|
hypercube
|
|
gptkbp:category
|
gptkb:measure_polytope
gptkb:zonotope
convex polytope
regular polytope
|
|
gptkbp:coordinates
|
all points (x1, x2, ..., xn) where xi = 0 or 1
|
|
gptkbp:dimensions
|
n
|
|
gptkbp:discoveredBy
|
gptkb:Ludwig_Schläfli
|
|
gptkbp:dualPolyhedron
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gptkb:cross-polytope
|
|
gptkbp:edge
|
n*2^{n-1}
|
|
gptkbp:edgeCount
|
n*2^{n-1}
|
|
gptkbp:edgeLength
|
1 (unit n-cube)
|
|
gptkbp:Euler_characteristic
|
0 for n>1
|
|
gptkbp:faceCount
|
2n
|
|
gptkbp:faced
|
gptkb:public_square
2n
|
|
gptkbp:facet
|
gptkb:(n-1)-cube
|
|
gptkbp:facetCount
|
2n
|
|
gptkbp:graphRepresentation
|
gptkb:hypercube_graph
|
|
gptkbp:hasSpecialCase
|
gptkb:cube_(3-cube)
gptkb:square_(2-cube)
gptkb:tesseract_(4-cube)
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
n-cube
|
|
gptkbp:property
|
gptkb:simple_polytope
regular
convex
edge-transitive
vertex-transitive
face-transitive
centrally symmetric
facet-transitive
self-dual for n=1
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|
gptkbp:relatedTo
|
gptkb:Hamming_code
gptkb:algebra
gptkb:Gray_code
|
|
gptkbp:Schläfli_symbol
|
{4,3,...,3}
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|
gptkbp:symmetry
|
hyperoctahedral group
|
|
gptkbp:usedIn
|
gptkb:geometry
computer science
combinatorics
graph theory
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|
gptkbp:vertexFigure
|
gptkb:orthoplex
|
|
gptkbp:vertices
|
2^n
|
|
gptkbp:volume
|
1 (unit n-cube)
|
|
gptkbp:bfsParent
|
gptkb:n-dimensional_hypercube
gptkb:Hypercube
gptkb:hypercube
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gptkbp:bfsLayer
|
7
|