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gptkbp:instanceOf
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gptkb:geometry
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gptkbp:alsoKnownAs
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gptkb:measure_polytope
gptkb:n-cube
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gptkbp:automorphismGroup
|
hyperoctahedral group
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gptkbp:category
|
convex polytope
regular polytope
|
|
gptkbp:coordinates
|
all points (x1, x2, ..., xn) where xi = 0 or 1
|
|
gptkbp:dimensions
|
n
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gptkbp:dualPolyhedron
|
n-dimensional cross-polytope
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gptkbp:edge
|
n*2^{n-1}
|
|
gptkbp:edge_length
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gptkb:1_(unit_hypercube)
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gptkbp:Euler_characteristic
|
0 for n>1
|
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gptkbp:faced
|
2n
|
|
gptkbp:facet
|
(n-1)-dimensional hypercube
|
|
gptkbp:facet_count
|
2n
|
|
gptkbp:graphics
|
gptkb:hypercube_graph
|
|
gptkbp:hasSpecialCase
|
gptkb:tesseract_(n=4)
cube (n=3)
square (n=2)
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
n-dimensional hypercube
|
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gptkbp:relatedTo
|
gptkb:algebra
gptkb:Gray_code
gptkb:Hamming_space
combinatorics
graph theory
|
|
gptkbp:Schläfli_symbol
|
{4,3,...,3}
|
|
gptkbp:self-dual
|
true
|
|
gptkbp:symmetry
|
hyperoctahedral group
|
|
gptkbp:vertex_figure
|
(n-1)-dimensional cross-polytope
|
|
gptkbp:vertices
|
2^n
|
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gptkbp:volume
|
gptkb:1_(unit_hypercube)
|
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gptkbp:bfsParent
|
gptkb:Hamming_cube
|
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gptkbp:bfsLayer
|
6
|