creates the truncated 16-cell. The truncated tesseract is bounded by 24 cells: 8 truncated cubes, and 16 tetrahedra. Truncated tesseract (Norman W. Johnson)...
17 KB (1,289 words) - 03:18, 24 July 2024
runcinated tesseract (or runcinated 16-cell) is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular tesseract. There...
29 KB (2,218 words) - 19:28, 9 June 2025
the truncated tetrahedra. The truncated tetrahedra correspond with the tesseract's vertices, and the triangular prisms correspond with the tesseract's edges...
14 KB (1,339 words) - 20:56, 15 June 2025
Uniform 4-polytope (redirect from Truncated tetrahedral prism)
alternation of the cantitruncated 16-cell or truncated 24-cell, with the half symmetry group [(3,3)+,4]. The truncated octahedral cells become icosahedra. The...
134 KB (4,315 words) - 11:59, 20 April 2025
In geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid. It has 14 regular faces (6 octagonal and 8 triangular), 36 edges, and...
9 KB (738 words) - 06:27, 6 March 2025
regular 24-cell. There are two degrees of truncations, including a bitruncation. The truncated 24-cell or truncated icositetrachoron is a uniform 4-dimensional...
24 KB (1,744 words) - 03:18, 24 July 2024
geometry, a truncated 8-cube is a convex uniform 8-polytope, being a truncation of the regular 8-cube. There are unique 7 degrees of truncation for the 8-cube...
8 KB (408 words) - 21:13, 9 February 2025
polytope, labeling it as tC8. The rectified tesseract may be constructed from the tesseract by truncating its vertices at the midpoints of its edges....
5 KB (424 words) - 03:18, 24 July 2024
5-cell, Truncated 5-cell, Cantellated 5-cell, Runcinated 5-cell Rectified tesseract, Truncated tesseract, Cantellated tesseract, Runcinated tesseract Rectified...
46 KB (3,547 words) - 00:42, 27 May 2025
also be constructed as a quasiregular truncated square, t{4}, which alternates two types of edges. A truncated octagon, t{8} is a hexadecagon, {16}. A...
18 KB (2,159 words) - 23:01, 15 March 2025
geometry, a truncated 5-cube is a convex uniform 5-polytope, being a truncation of the regular 5-cube. There are four unique truncations of the 5-cube...
7 KB (450 words) - 04:21, 4 April 2023
geometry, a truncated 6-cube (or truncated hexeract) is a convex uniform 6-polytope, being a truncation of the regular 6-cube. There are 5 truncations for the...
7 KB (479 words) - 14:09, 3 June 2025
seven-dimensional geometry, a truncated 7-cube is a convex uniform 7-polytope, being a truncation of the regular 7-cube. There are 6 truncations for the 7-cube. Vertices...
7 KB (358 words) - 19:40, 9 April 2024
represented by { p , q , r } {\displaystyle \{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 (1,985 words) - 04:00, 4 June 2025
Uniform polytope (section Truncated forms)
Faces are truncated, doubling their edges. (The term, coined by Kepler, comes from Latin truncare 'to cut off'.) There are higher truncations also: bitruncation...
53 KB (2,930 words) - 15:27, 14 May 2025
5-cell, Truncated 5-cell, Cantellated 5-cell, Runcinated 5-cell Rectified tesseract, Truncated tesseract, Cantellated tesseract, Runcinated tesseract Rectified...
30 KB (2,692 words) - 15:23, 9 February 2025
The truncated octahedron was called the "mecon" by Buckminster Fuller. Its dual polyhedron is the tetrakis hexahedron. If the original truncated octahedron...
20 KB (1,887 words) - 21:00, 18 June 2025
Screenshot from Stella4D, looking at the truncated tesseract in perspective and its net, truncated cube cells hidden....
4 KB (415 words) - 09:55, 15 March 2024
centers of the tesseracts' square faces, and are also the centers of the 16-cells' edges. The 24-cell's cubical vertex figure has been truncated to an octahedral...
234 KB (30,655 words) - 19:27, 11 May 2025
regular 120-cell and tesseract. Simple uniform 4-polytope include the truncated 5-cell, truncated tesseract, truncated 24-cell, truncated 120-cell, and duoprisms...
4 KB (380 words) - 02:00, 20 July 2024
There are two degrees of truncations, including a bitruncation. The truncated 5-cell, truncated pentachoron or truncated 4-simplex is bounded by 10...
21 KB (1,345 words) - 18:24, 9 June 2025
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
(equivalently, 180° rotational symmetry), the truncated cuboctahedron is a 9-zonohedron. The truncated cuboctahedron can tessellate with the octagonal...
14 KB (977 words) - 06:06, 14 November 2023
different arrangements of colored truncated 24-cell facets. In all cases, four truncated 24-cells, and one tesseract meet at each vertex, but the vertex...
6 KB (281 words) - 18:38, 26 December 2017
Rhombicuboctahedral prism (redirect from Truncated tetrahedral cupoliprism)
parabidiminished rectified tesseract, truncated tetrahedral alterprism, or truncated tetrahedral cupoliprism, s3{2,4,3}, . It is made from 2 truncated tetrahedra, 6...
5 KB (230 words) - 03:21, 24 July 2024
and Honeycombs, Ph.D. (1966) 2. Convex uniform polychora based on the tesseract (8-cell) and hexadecachoron (16-cell) - Model 23, George Olshevsky. 3...
7 KB (529 words) - 03:18, 24 July 2024
constructed by a truncation of a tesseractic honeycomb creating truncated tesseracts, and adding new 16-cell facets at the original vertices. The [4,3...
3 KB (245 words) - 00:52, 17 January 2025
Hexagonal tiling honeycomb (redirect from Truncated triangular tiling honeycomb)
alternates two types of tetrahedra. The truncated hexagonal tiling honeycomb, t0,1{6,3,3}, has tetrahedral and truncated hexagonal tiling facets, with a triangular...
21 KB (843 words) - 09:49, 9 January 2025
Steritruncated tesseractic honeycomb (category Truncated tilings)
Demitesseractic honeycomb 24-cell honeycomb Truncated 24-cell honeycomb Snub 24-cell honeycomb 5-cell honeycomb Truncated 5-cell honeycomb Omnitruncated 5-cell...
3 KB (264 words) - 00:52, 17 January 2025
construction yields a tesseract with 8 cubical bounding cells, surrounding a central vertex with 16 edge-length long radii. The tesseract tessellates 4-dimensional...
4 KB (353 words) - 05:00, 31 October 2024