regular polytope

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regular polytope

[¦reg·yə·lər ′päl·ə‚tōp]
(mathematics)
A geometric object in multidimensional Euclidean space that is analogous to the regular polygons (in two-dimensional space) and the regular polyhedra (in three-dimensional space).
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References in periodicals archive ?
For example, there are six regular polytopes in four-dimensions that are the analogues of the Platonic Solids.
Coxeter's work, especially his treatise entitled Regular Polytopes, went on to influence various people, including Buckminster Fuller, who credits Coxeter's vision in developing his famous geodesic domes.
For each n [is greater than] 2, one common reason that M([Z.sup.n]), is interesting is that the n-dimensional cube is the only single regular polytope that tessellates [R.sup.n] [Conway and Sloane 1993].