Demihypercube (EntityClass, 10)
From Hi.gher. Space
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A '''demihypercube''' is a uniform polytope of three or more dimensions which is constructed by taking the [[alternation]] of the [[hypercube]] of the same dimension. | A '''demihypercube''' is a uniform polytope of three or more dimensions which is constructed by taking the [[alternation]] of the [[hypercube]] of the same dimension. | ||
Revision as of 17:10, 9 March 2011
A demihypercube is a uniform polytope of three or more dimensions which is constructed by taking the alternation of the hypercube of the same dimension.
In three and four dimensions, it turns out that the demihypercubes are the simplex (tetrahedron) and cross polytope (aerochoron) respectively, but in five or more dimensions the demihypercube is its own unique family.
An n-demihypercube is also the vertex figure of the (n+1)-hypercube..
Demihypercubes are not currently counted as kanitopes, but they might be in future.
| Demihypercubes |
| tetrahedron • aerochoron • demipenteract • demihexeract |
