mathematics, a regular 4-polytope or regular polychoron is a regular four-dimensional polytope. They are the four-dimensional analogues of the regular polyhedra...
27 KB (1,648 words) - 00:34, 2 August 2024
In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry. In...
41 KB (5,265 words) - 23:22, 13 August 2024
article lists the regular polytopes in Euclidean, spherical and hyperbolic spaces. This table shows a summary of regular polytope counts by rank. Only...
98 KB (5,294 words) - 12:18, 31 July 2024
In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope. It is a connected and closed figure...
16 KB (1,774 words) - 22:15, 5 April 2024
cells are uniform polyhedra, and faces are regular polygons. There are 47 non-prismatic convex uniform 4-polytopes. There are two infinite sets of convex...
134 KB (4,310 words) - 03:16, 24 July 2024
In elementary geometry, a polytope is a geometric object with flat sides (faces). Polytopes are the generalization of three-dimensional polyhedra to any...
26 KB (3,117 words) - 07:21, 6 August 2024
16-cell (redirect from 4-cross polytope)
the regular convex 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol {3,3,4}. It is one of the six regular convex 4-polytopes...
60 KB (7,175 words) - 03:39, 24 July 2024
In 4-dimensions, there are a large number of regular compounds of regular polytopes. Coxeter lists a few of these in his book Regular Polytopes. McMullen...
25 KB (1,425 words) - 16:50, 28 November 2023
Tesseract (redirect from Regular octachoron)
convex regular 4-polytopes. The tesseract is also called an 8-cell, C8, (regular) octachoron, or cubic prism. It is the four-dimensional measure polytope, taken...
25 KB (2,583 words) - 03:39, 24 July 2024
2-dimensional cross-polytope is a square, a 3-dimensional cross-polytope is a regular octahedron, and a 4-dimensional cross-polytope is a 16-cell. Its facets...
21 KB (1,017 words) - 21:38, 19 August 2024