geometry, a cantellated 6-cube is a convex uniform 6-polytope, being a cantellation of the regular 6-cube. There are 8 cantellations for the 6-cube, including...
7 KB (268 words) - 13:05, 6 May 2023
geometry, a cantellated 6-orthoplex is a convex uniform 6-polytope, being a cantellation of the regular 6-orthoplex. There are 8 cantellation for the 6-orthoplex...
9 KB (481 words) - 04:39, 26 December 2017
six-dimensional geometry, a runcic 6-cube is a convex uniform 6-polytope. There are 2 unique runcic for the 6-cube. Cantellated 6-demicube/demihexeract Small...
5 KB (304 words) - 22:40, 27 April 2018
a cantellated 7-cube is a convex uniform 7-polytope, being a cantellation of the regular 7-cube. There are 10 degrees of cantellation for the 7-cube, including...
10 KB (276 words) - 22:20, 13 March 2019
a cantellated 5-cube is a convex uniform 5-polytope, being a cantellation of the regular 5-cube. There are 6 unique cantellation for the 5-cube, including...
13 KB (436 words) - 16:16, 27 December 2023
List of mathematical shapes (section Degree 6)
Rectified 5-cell, Truncated 5-cell, Cantellated 5-cell, Runcinated 5-cell Rectified tesseract, Truncated tesseract, Cantellated tesseract, Runcinated tesseract...
47 KB (3,580 words) - 17:01, 29 June 2024
Rectified 5-cell, Truncated 5-cell, Cantellated 5-cell, Runcinated 5-cell Rectified tesseract, Truncated tesseract, Cantellated tesseract, Runcinated tesseract...
30 KB (2,685 words) - 07:39, 28 July 2024
Cubic honeycomb (redirect from Cantellated cubic honeycomb)
honeycomb) in Euclidean 3-space made up of cubic cells. It has 4 cubes around every edge, and 8 cubes around each vertex. Its vertex figure is a regular octahedron...
66 KB (3,191 words) - 16:48, 3 August 2024
Rhombicuboctahedron (redirect from Cantellated cube)
constructed from a cube by drawing a smaller one in the middle of each face, parallel to the cube's edges. After removing the edges of a cube, the squares may...
23 KB (2,307 words) - 17:06, 21 August 2024
In four-dimensional geometry, a cantellated tesseract is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular tesseract...
14 KB (1,339 words) - 03:21, 24 July 2024
Rhombicosidodecahedron (redirect from Cantellated Dodecahedron)
This polyhedron is topologically related as a part of a sequence of cantellated polyhedra with vertex figure (3.4.n.4), which continues as tilings of...
15 KB (1,103 words) - 18:04, 7 July 2024
The bitruncated order-6 cubic honeycomb is the same as the bitruncated order-4 hexagonal tiling honeycomb. The cantellated order-6 cubic honeycomb, rr{4...
21 KB (908 words) - 16:48, 3 August 2024
Cuboctahedron (redirect from Cantellated tetrahedron)
cuboctahedron being named cantellated tetrahedron. From all of these constructions, the cuboctahedron has 14 faces: 8 equilateral triangles and 6 squares. It also...
19 KB (1,924 words) - 17:05, 21 August 2024
Rectified 24-cell (redirect from Cantellated 16-cell)
by 48 cells: 24 cubes, and 24 cuboctahedra. It can be obtained by rectification of the 24-cell, reducing its octahedral cells to cubes and cuboctahedra...
7 KB (529 words) - 03:18, 24 July 2024
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 degrees...
8 KB (367 words) - 11:20, 7 May 2024
7-cube, t0,3{4,35}. Small rhombated hemihepteract (Acronym sirhesa) (Jonathan Bowers) The Cartesian coordinates for the vertices of a cantellated demihepteract...
5 KB (335 words) - 04:48, 26 December 2017
Truncated tesseract (redirect from Truncated 4-cube)
envelope is a cube. Two of the truncated cube cells project onto a truncated cube inscribed in the cubical envelope. The other 6 truncated cubes project onto...
17 KB (1,289 words) - 03:18, 24 July 2024
tetrahedra. It is related to the cantellated cubic honeycomb. Rhombicuboctahedra are reduced to truncated octahedra, and cubes are reduced to truncated tetrahedra...
33 KB (2,200 words) - 03:59, 24 July 2024
the 5-cube. Runcic 5-cubes have half the vertices of runcinated 5-cubes. Cantellated 5-demicube/demipenteract Small rhombated hemipenteract (sirhin) (Jonathan...
6 KB (375 words) - 20:40, 25 July 2023
In five-dimensional geometry, a cantellated 5-simplex is a convex uniform 5-polytope, being a cantellation of the regular 5-simplex. There are unique...
10 KB (455 words) - 04:19, 4 April 2023
5-cube, cantihalf 5-cube, truncated 5-demicube is a uniform 5-polytope, being a truncation of the 5-demicube. It has half the vertices of a cantellated...
4 KB (310 words) - 05:04, 29 June 2024
digonal disphenoid vertex figure. The cantellated order-4 hexagonal tiling honeycomb, t0,2{6,3,4}, has cuboctahedron, cube, and rhombitrihexagonal tiling cells...
27 KB (976 words) - 09:01, 4 September 2024
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
Order-5 cubic honeycomb (redirect from Cantellated order-5 cubic honeycomb)
hyperbolic 3-space. With Schläfli symbol {4,3,5}, it has five cubes {4,3} around each edge, and 20 cubes around each vertex. It is dual with the order-4 dodecahedral...
22 KB (844 words) - 16:48, 3 August 2024
Uniform 8-polytope (redirect from Cantellated 8-orthoplex)
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) - 06:40, 26 July 2024
B6 polytope (redirect from List of 6-cube polytopes)
In 6-dimensional geometry, there are 64 uniform polytopes with B6 symmetry. There are two regular forms, the 6-orthoplex, and 6-cube with 12 and 64 vertices...
31 KB (252 words) - 00:20, 28 May 2017
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
Runcinated tesseracts (redirect from Runcinated 4-cube)
disprismatotesseractihexadecachoron has 16 tetrahedra, 32 cubes, and 32 triangular prisms. Each vertex is shared by 4 cubes, 3 triangular prisms and one tetrahedron....
29 KB (2,219 words) - 03:18, 24 July 2024
octahedron; the vertex figure is a nonuniform triangular prism. Cantellated pentachoron Cantellated 4-simplex (small) prismatodispentachoron Rectified dispentachoron...
20 KB (645 words) - 03:18, 24 July 2024
Square tiling honeycomb (redirect from Cantellated square tiling honeycomb)
2t{4,4,3}, has truncated cube and truncated square tiling facets, with a digonal disphenoid vertex figure. The cantellated square tiling honeycomb, rr{4...
26 KB (898 words) - 16:48, 3 August 2024