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 (2,219 words) - 18:32, 25 March 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) - 03:21, 24 July 2024
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
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
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) - 15:28, 14 May 2025
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) - 22:23, 4 May 2025
5-cell, Truncated 5-cell, Cantellated 5-cell, Runcinated 5-cell Rectified tesseract, Truncated tesseract, Cantellated tesseract, Runcinated tesseract Rectified...
47 KB (3,579 words) - 21:06, 4 December 2024
polytope, labeling it as tC8. The rectified tesseract may be constructed from the tesseract by truncating its vertices at the midpoints of its edges....
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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) - 07:06, 4 April 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
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
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
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
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
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
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
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 (1,344 words) - 19:57, 24 April 2025
(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
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
Hexagon (redirect from Truncated triangle)
the truncated tetrahedron, truncated octahedron, truncated icosahedron (of soccer ball and fullerene fame), truncated cuboctahedron and the truncated icosidodecahedron...
31 KB (2,873 words) - 04:12, 17 May 2025
prisms along one of its square faces. A truncated triangular prism is a triangular prism constructed by truncating its part at an oblique angle. As a result...
19 KB (1,608 words) - 04:20, 24 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
cube's vertices can be truncated, and the resulting polyhedron is the Archimedean solid, the truncated cube. When its edges are truncated, it is a rhombicuboctahedron...
61 KB (6,298 words) - 17:40, 14 May 2025
Prism (geometry) (section Truncated prism)
the geometrical truncation of an n-gonal hosohedron, as well as through the cantellation or expansion of an n-gonal dihedron. A truncated prism is formed...
21 KB (1,954 words) - 08:17, 23 April 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
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