geometry, a cantellated tesseract is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular tesseract. There are four...
14 KB (1,339 words) - 03:21, 24 July 2024
octahedra, and 16 truncated tetrahedra. It has half the vertices of a cantellated tesseract with construction . It is related to, but not to be confused with...
17 KB (1,289 words) - 03:18, 24 July 2024
constructed by contracting the small rhombicuboctahedral cells of the cantellated tesseract radially, and filling in the spaces between them with cubes. In...
29 KB (2,219 words) - 03:18, 24 July 2024
runcinated tesseract, with its construction, called a runcic tesseract. It has two uniform constructions, as a rectified 8-cell r{4,3,3} and a cantellated demitesseract...
5 KB (424 words) - 03:18, 24 July 2024
Truncated 5-cell, Cantellated 5-cell, Runcinated 5-cell Rectified tesseract, Truncated tesseract, Cantellated tesseract, Runcinated tesseract Rectified 16-cell...
47 KB (3,580 words) - 17:01, 29 June 2024
Uniform 4-polytope (redirect from Cantellated demitesseract)
that is a finite set – the cubic prism is excluded as it duplicates the tesseract), but not the infinite categories of duoprisms or prisms of antiprisms...
134 KB (4,310 words) - 09:25, 13 October 2024
Cantellated 5-cell Cantitruncated 5-cell Runcinated 5-cell Runcitruncated 5-cell Cantellated tesseract Cantitruncated tesseract Runcinated tesseract Runcitruncated...
18 KB (1,515 words) - 10:24, 3 May 2024
Truncated 5-cell, Cantellated 5-cell, Runcinated 5-cell Rectified tesseract, Truncated tesseract, Cantellated tesseract, Runcinated tesseract Rectified 16-cell...
30 KB (2,685 words) - 07:39, 28 July 2024
polyhedral cells around each edge is represented by {p,q,r}. For example, a tesseract, {4,3,3}, has 3 cubes, {4,3}, around an edge. In general, a regular polytope...
38 KB (1,927 words) - 18:57, 9 August 2024
Rectified 24-cell (redirect from Cantellated 16-cell)
Rectified 24-cell, Cantellated 16-cell (Norman Johnson) Rectified icositetrachoron (Acronym rico) (George Olshevsky, Jonathan Bowers) Cantellated hexadecachoron...
7 KB (529 words) - 03:18, 24 July 2024
for his work on interferons Saara Cantell, Finnish film director Cantellated tesseract This disambiguation page lists articles associated with the title...
513 bytes (92 words) - 05:00, 20 September 2018
solids (excluding the cube-prism, which has already been counted as the tesseract), and two infinite sets: the prisms on the convex antiprisms, and the...
53 KB (2,930 words) - 00:27, 24 September 2024
uniform 4-polytopes with B4 symmetry. There are two regular forms, the tesseract and 16-cell, with 16 and 8 vertices respectively. They can be visualized...
13 KB (410 words) - 03:21, 24 July 2024
vertex figure is a cube. The 24-cell is self-dual. The 24-cell and the tesseract are the only convex regular 4-polytopes in which the edge length equals...
237 KB (31,146 words) - 18:37, 4 November 2024
Hexagonal tiling honeycomb (redirect from Cantellated hexagonal tiling honeycomb)
hexagonal tiling cells, with a digonal disphenoid vertex figure. The cantellated hexagonal tiling honeycomb, t0,2{6,3,3}, has octahedron, rhombitrihexagonal...
21 KB (843 words) - 09:56, 5 October 2024
24-cell honeycomb, containing rectified tesseract, cantellated 24-cell, and tetrahedral prism cells. Cantellated icositetrachoric tetracomb/honeycomb Small...
3 KB (225 words) - 01:55, 14 November 2023
Rectified 24-cell honeycomb (redirect from Cantellated 16-cell honeycomb)
containing tesseract and rectified 24-cell cells. Rectified icositetrachoric tetracomb Rectified icositetrachoric honeycomb Cantellated 16-cell honeycomb...
6 KB (228 words) - 18:38, 26 December 2017
Cubic honeycomb (redirect from Cantellated cubic honeycomb)
are located at the fcc positions of the lattice. The cantellated cubic honeycomb or cantellated cubic cellulation is a uniform space-filling tessellation...
66 KB (3,191 words) - 03:59, 10 November 2024
Cuboctahedron (redirect from Cantellated tetrahedron)
process known as cantellation, making the cuboctahedron being named cantellated tetrahedron. From all of these constructions, the cuboctahedron has 14...
19 KB (1,938 words) - 01:53, 9 October 2024
Runcic 7-cubes (redirect from Cantellated 7-demicube)
sirhesa) (Jonathan Bowers) The Cartesian coordinates for the vertices of a cantellated demihepteract centered at the origin are coordinate permutations: (±1...
5 KB (335 words) - 04:48, 26 December 2017
with truncations. The cantellated 24-cell or small rhombated icositetrachoron is a uniform 4-polytope. The boundary of the cantellated 24-cell is composed...
10 KB (781 words) - 03:18, 24 July 2024
triangular prisms), and 27 4-faces (6 cantellated 5-cell, 6 rectified 5-cells, and 15 tetrahedral prisms). Cantellated hexateron Small rhombated hexateron...
10 KB (455 words) - 10:00, 24 September 2024
Order-5 cubic honeycomb (redirect from Cantellated order-5 cubic honeycomb)
honeycomb is the same as the bitruncated order-4 dodecahedral honeycomb. The cantellated order-5 cubic honeycomb, , has rhombicuboctahedron, icosidodecahedron...
22 KB (844 words) - 16:48, 3 August 2024
meeting at each vertex. Cantellated 120-cell Norman Johnson Cantellated hecatonicosachoron / Cantellated dodecacontachoron / Cantellated polydodecahedron Small...
15 KB (758 words) - 03:18, 24 July 2024
Name tesseract rectified tesseract truncated tesseract cantellated tesseract runcinated tesseract bitruncated tesseract cantitruncated tesseract runcitruncated...
24 KB (1,744 words) - 03:18, 24 July 2024
In six-dimensional geometry, a cantellated 6-simplex is a convex uniform 6-polytope, being a cantellation of the regular 6-simplex. There are unique 4...
8 KB (367 words) - 11:20, 7 May 2024
constructed by a cantellation of a tesseractic honeycomb creating cantellated tesseracts, and new 24-cell and octahedral prism facets at the original vertices...
3 KB (290 words) - 19:55, 19 January 2024
In six-dimensional geometry, a cantellated 6-orthoplex is a convex uniform 6-polytope, being a cantellation of the regular 6-orthoplex. There are 8 cantellation...
9 KB (481 words) - 04:39, 26 December 2017
second set of coordinates coincide with the vertices of an inscribed cantellated tesseract. The regular skew polyhedron, {4,8|3}, exists in 4-space with 8...
17 KB (1,115 words) - 03:18, 24 July 2024
symbol t0,2,4{4,3,3,4} Coxeter-Dynkin diagrams 4-face type Tesseract Cantellated tesseract Rhombicuboctahedral prism Cell type Rhombicuboctahedron Cube...
3 KB (215 words) - 13:23, 20 June 2017