Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:geometry
|
| gptkbp:4DExample |
tesseract
|
| gptkbp:alsoKnownAs |
gptkb:n-cube
|
| gptkbp:category |
convex polytope
regular polytope |
| gptkbp:coordinates |
(±1, ±1, ..., ±1)
|
| gptkbp:dimensions |
n
|
| gptkbp:dualPolyhedron |
gptkb:hyperoctahedron
|
| gptkbp:edge |
n*2^{n-1}
|
| gptkbp:edgeLength |
equal for all edges
|
| gptkbp:Euler_characteristic |
0 for n>1
|
| gptkbp:faced |
2n
|
| gptkbp:facet |
gptkb:(n-1)-cube
|
| gptkbp:firstAppearance |
19th century
|
| gptkbp:generalizes |
gptkb:public_square
cube line segment |
| https://www.w3.org/2000/01/rdf-schema#label |
Hypercube
|
| gptkbp:relatedTo |
gptkb:Hamming_code
gptkb:algebra gptkb:hypercube_graph gptkb:Gray_code |
| gptkbp:Schläfli_symbol |
{4,3,...,3}
|
| gptkbp:studiedBy |
gptkb:Ludwig_Schläfli
|
| gptkbp:symmetry |
gptkb:Coxeter_group_B_n
|
| gptkbp:usedIn |
gptkb:mathematics
computer science physics |
| gptkbp:vertices |
2^n
|
| gptkbp:visualizes |
projection
|
| gptkbp:volume |
V = (side length)^n
|
| gptkbp:bfsParent |
gptkb:Cross-polytope
|
| gptkbp:bfsLayer |
6
|