Demihypercube (EntityClass, 10)
From Hi.gher. Space
(Difference between revisions)
(created page) |
(It's not that either, what the hell am I thinking of?) |
||
| (2 intermediate revisions not shown) | |||
| Line 1: | Line 1: | ||
| + | <[#ontology [kind class] [cats Regular Polytope]]> | ||
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. | ||
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]]. | 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]]. | ||
| - | |||
| - | |||
Demihypercubes are not currently counted as [[kanitope]]s, but they might be in future. | Demihypercubes are not currently counted as [[kanitope]]s, but they might be in future. | ||
{{Demihypercubes}} | {{Demihypercubes}} | ||
Latest revision as of 12:43, 11 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.
Demihypercubes are not currently counted as kanitopes, but they might be in future.
| Demihypercubes |
| tetrahedron • aerochoron • demipenteract • demihexeract |
