semiregular polytope, labeling it as S1 7. Rectified octaexon (Acronym: roc) (Jonathan Bowers) The vertices of the rectified 7-simplex can be most simply positioned...
9 KB (513 words) - 18:00, 2 June 2022
semiregular polytope, labeling it as S1 5. Rectified hexateron (Acronym: rix) (Jonathan Bowers) The vertices of the rectified 5-simplex can be more simply positioned...
14 KB (978 words) - 16:06, 9 January 2024
5-cell centers of the 10-simplex. The rectified 10-simplex is the vertex figure of the 11-demicube. Rectified hendecaxennon (Acronym ru) (Jonathan Bowers)...
9 KB (446 words) - 04:33, 4 April 2023
the 5-cell centers of the 9-simplex. The rectified 9-simplex is the vertex figure of the 10-demicube. Rectified decayotton (reday) (Jonathan Bowers) The...
9 KB (461 words) - 04:36, 4 April 2023
8-orthoplex, . A second construction in 8-space, from the center of a rectified 8-orthoplex is given by coordinate permutations of: (1,-1,0,0,0,0,0,0)...
38 KB (1,272 words) - 16:20, 9 April 2024
In eight-dimensional geometry, a rectified 8-simplex is a convex uniform 8-polytope, being a rectification of the regular 8-simplex. There are unique...
8 KB (456 words) - 04:41, 4 April 2023
2 31 polytope (redirect from Rectified 2 31 polytope)
(tetrahedra), 16128 4-faces (3-simplexes), 4788 5-faces (756 pentacrosses, and 4032 5-simplexes), 632 6-faces (576 6-simplexes and 56 221). Its vertex figure...
14 KB (588 words) - 19:33, 9 April 2024
shown as . Rectified heptapeton (Acronym: ril) (Jonathan Bowers) The vertices of the rectified 6-simplex can be most simply positioned in 7-space as permutations...
5 KB (385 words) - 04:55, 4 April 2023
4 21 polytope (redirect from Rectified 4 21 polytope)
that are facets of 7-simplexes. Since every 7-orthoplex has 128 (27) 6-simplex facets, half of which are not incident to 7-simplexes, the 421 polytope has...
38 KB (2,556 words) - 04:13, 24 July 2024
constructed from 14 snub 5-simplexes, 42 snub 5-cell antiprisms, 70 3-s{3,4} duoantiprisms, and 2520 irregular 5-simplexes filling the gaps at the deleted...
54 KB (1,140 words) - 14:40, 26 August 2024
3 21 polytope (redirect from Rectified 3 21 polytope)
diagram: . In 7-dimensional geometry, the 321 polytope is a uniform polytope. It has 56 vertices, and 702 facets: 126 311 and 576 6-simplexes. For visualization...
18 KB (1,025 words) - 19:06, 3 September 2023
containing all simplexes and orthoplexes (tetrahedrons and octahedrons in the case of the rectified 5-cell). The Coxeter symbol for the rectified 5-cell is...
12 KB (901 words) - 03:17, 24 July 2024
face-to-face) with the two opposite vertices centered. In the case of simplexes such as the 5-cell, certain irregular forms are in some sense more fundamental...
38 KB (3,797 words) - 09:00, 5 September 2024
vertices of {4,3,...,3}. The vertex figures of demihypercubes are rectified n-simplexes. They are represented by Coxeter-Dynkin diagrams of three constructive...
12 KB (702 words) - 03:30, 24 July 2024
2 21 polytope (redirect from Rectified 2 21 polytope)
simplexes and orthoplexes. The 221 polytope is fourth in dimensional series 2k2. The 221 polytope is second in dimensional series 22k. The rectified 221...
18 KB (1,230 words) - 22:44, 16 February 2024
Dih6 or simple rotation group [6,2]+, order 12. The compound of two 5-simplexes in dual configurations can be seen in this A6 Coxeter plane projection...
10 KB (1,090 words) - 03:15, 26 July 2024
heptellated 9-orthoplex. A second construction in 9-space, from the center of a rectified 9-orthoplex is given by coordinate permutations of: (1,-1,0,0,0,0,0,0...
7 KB (524 words) - 04:46, 4 April 2023
quadritruncated 8-simplex an isotopic polytope, constructed from 18 tritruncated 7-simplex facets. Octadecazetton (18-facetted 8-polytope) (Acronym: be) (Jonathan...
9 KB (422 words) - 04:42, 4 April 2023
stericated 6-orthoplex. A second construction in 6-space, from the center of a rectified 6-orthoplex is given by coordinate permutations of: (1,-1,0,0,0,0) The...
19 KB (1,044 words) - 04:14, 4 April 2023
cuboctahedra and 60 triangular prisms), and 27 4-faces (6 cantellated 5-cell, 6 rectified 5-cells, and 15 tetrahedral prisms). Cantellated hexateron Small rhombated...
10 KB (455 words) - 04:19, 4 April 2023
pentacomb). Each vertex is shared by 12 5-simplexes, 30 rectified 5-simplexes, and 20 birectified 5-simplexes. These facet types occur in proportions of...
5 KB (378 words) - 12:31, 18 August 2024
E9 honeycomb (redirect from 7 21 honeycomb)
vertex figure. All facets of these polytopes are regular polytopes, namely simplexes and orthoplexes. The 261 honeycomb is composed of 251 9-honeycomb and...
13 KB (804 words) - 21:57, 12 December 2023
series in 1900 as containing all regular polytope facets, containing all simplexes and orthoplexes (5-simplices and 5-orthoplexes in the case of the 5-demicube)...
9 KB (670 words) - 16:53, 9 April 2024
) The family starts uniquely as 6-polytopes. The triangular prism and rectified 5-cell are included at the beginning for completeness. The demipenteract...
10 KB (717 words) - 03:30, 24 July 2024
unless it is all 5 vertices. It is impossible to rotate two concentric 4-simplexes with respect to each other such that some, but not all, of their vertices...
129 KB (14,415 words) - 23:53, 3 September 2024
{3}×{3} {3}∨{3} {3,3}×{3,3} {3,3}∨{3,3} Facets {3} t{3,3} r{3,3,3} 2t{3,3,3,3} 2r{3,3,3,3,3} 3t{3,3,3,3,3,3} As intersecting dual simplexes ∩ ∩ ∩ ∩ ∩ ∩ ∩...
21 KB (1,295 words) - 03:18, 24 July 2024
a regular construction as and quasiregular form as . All elements are simplexes. Real {3,4}, or , with 6 vertices, 12 edges, and 8 faces 2{3}2{4}3, or...
154 KB (6,979 words) - 07:25, 17 May 2024