six-dimensional geometry, a pentic 6-cube is a convex uniform 6-polytope. There are 8 pentic forms of the 6-cube. The pentic 6-cube, , has half of the vertices...
15 KB (662 words) - 05:07, 4 April 2023
In seven-dimensional geometry, a pentic 7-cube is a convex uniform 7-polytope, related to the uniform 7-demicube. There are 8 unique forms. The Cartesian...
6 KB (242 words) - 10:39, 28 May 2020
Uniform 8-polytope (redirect from Pentic 8-cube)
convex regular 8-polytopes: {3,3,3,3,3,3,3} - 8-simplex {4,3,3,3,3,3,3} - 8-cube {3,3,3,3,3,3,4} - 8-orthoplex There are no nonconvex regular 8-polytopes...
147 KB (1,007 words) - 02:52, 16 February 2024
uniform 6-polytope. The simplest uniform polypeta are regular polytopes: the 6-simplex {3,3,3,3,3}, the 6-cube (hexeract) {4,3,3,3,3}, and the 6-orthoplex...
68 KB (1,491 words) - 06:24, 17 November 2023
D6 polytope (category 6-polytopes)
In 6-dimensional geometry, there are 47 uniform polytopes with D6 symmetry, of which 16 are unique and 31 are shared with the B6 symmetry. There are two...
10 KB (271 words) - 16:14, 7 February 2023
honeycomb, and a quarter of the vertices of a 8-cube honeycomb. Its facets are 8-demicubes h{4,36}, pentic 8-cubes h6{4,36}, {3,3}×{32,1,1} and {31,1,1}×{31...
3 KB (149 words) - 14:04, 17 March 2023
Uniform 7-polytope (redirect from Uniform 6-honeycomb)
Regular 6-cube honeycomb, represented by symbols {4,34,4}, B ~ 6 {\displaystyle {\tilde {B}}_{6}} , [31,1,33,4], 95 forms, 64 shared with C ~ 6 {\displaystyle...
107 KB (1,015 words) - 14:30, 10 June 2024
Asia Ivic Weiss, Wiley-Interscience Publication, 1995, ISBN 978-0-471-01003-6 (Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I, [Math. Zeit...
19 KB (270 words) - 00:48, 4 June 2018
[8] D4 [6] D3 [4] A7 [8] A5 [6] A3 [4] 1 = 8-demicube (hocto) 2 = cantic 8-cube (thocto) 3 = runcic 8-cube 4 = steric 8-cube 5 = pentic 8-cube 6 = hexic...
34 KB (136 words) - 10:20, 10 June 2023