In six-dimensional geometry, a cantic 6-cube (or a truncated 6-demicube) is a uniform 6-polytope. Truncated 6-demicube Truncaced demihexeract Truncated...
3 KB (230 words) - 19:53, 9 May 2025
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) - 10:18, 10 May 2025
In seven-dimensional geometry, a cantic 7-cube or truncated 7-demicube as a uniform 7-polytope, being a truncation of the 7-demicube. A uniform 7-polytope...
4 KB (346 words) - 13:08, 2 May 2018
In geometry of five dimensions or higher, a cantic 5-cube, cantihalf 5-cube, truncated 5-demicube is a uniform 5-polytope, being a truncation of the 5-demicube...
4 KB (310 words) - 05:04, 29 June 2024
In eight-dimensional geometry, a cantic 8-cube or truncated 8-demicube is a uniform 8-polytope, being a truncation of the 8-demicube. Truncated demiocteract...
3 KB (210 words) - 06:26, 28 June 2021
Truncated tesseract (redirect from Cantic tesseract)
the remaining 6 truncated tetrahedral cells. A truncated 16-cell, as a cantic 4-cube, is related to the dimensional family of cantic n-cubes: Klitzing, (o3o3o4o...
17 KB (1,289 words) - 03:18, 24 July 2024
tiling and octahedron cells, in a truncated octahedron vertex figure. The cantic order-4 hexagonal tiling honeycomb, ↔ , is composed of trihexagonal tiling...
27 KB (976 words) - 19:49, 16 January 2025
Rhombicuboctahedron (redirect from Cantic snub octahedron)
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 (2,325 words) - 08:26, 24 March 2025
Truncated cuboctahedron (redirect from Omnitruncated cube)
to a nonuniform snub cube with chiral octahedral symmetry, a nonuniform rhombicuboctahedron with pyritohedral symmetry (the cantic snub octahedron) and...
14 KB (977 words) - 06:06, 14 November 2023
Order-5 cubic honeycomb (redirect from Cantic order-5 cubic honeycomb)
forms: the cantic order-5 cubic honeycomb, , the runcic order-5 cubic honeycomb, , and the runcicantic order-5 cubic honeycomb, . The cantic order-5 cubic...
22 KB (844 words) - 19:43, 16 January 2025
Tetrahedral-octahedral honeycomb (redirect from Cantic cubic honeycomb)
by the symmetry of rings in the Coxeter–Dynkin diagrams: The cantic cubic honeycomb, cantic cubic cellulation or truncated half cubic honeycomb is a uniform...
33 KB (2,203 words) - 19:56, 14 April 2025
is face transitive. The dual polyhedron of a dyakis dodecahedron is the cantic snub octahedron. The dyakis dodecahedron only exists in one crystal, pyrite...
4 KB (401 words) - 09:22, 12 January 2025
Cubic honeycomb (redirect from Cantic snub cubic honeycomb)
3% greater than the other. The snub cubes in this case are uniform, but the rest of the cells are not. The cantic snub cubic honeycomb is constructed...
16 KB (1,756 words) - 12:28, 2 April 2025
Truncated tetrahedron (redirect from Cantic cube)
two regular hexagons, and the vertex figure is denoted as 3 ⋅ 6 2 {\displaystyle 3\cdot 6^{2}} . Its dual polyhedron is triakis tetrahedron, a Catalan...
15 KB (1,483 words) - 07:18, 3 May 2025
Cantellated 24-cells (redirect from Cantic snub 24-cell)
A half-symmetry construction of the cantellated 24-cell, also called a cantic snub 24-cell, as , has an identical geometry, but its triangular faces are...
10 KB (794 words) - 19:17, 10 April 2025
dodecahedra dissected with its center into 12 rhombic pyramids. It is dual to the cantic cubic honeycomb: Architectonic and catoptric tessellation Williams, Robert...
7 KB (405 words) - 02:49, 4 February 2025
Square tiling honeycomb (redirect from Cantic square tiling honeycomb)
honeycomb in hyperbolic 3-space. It has cube and square tiling facets in a cuboctahedron vertex figure. The cantic square tiling honeycomb, h2{4,4,3}, is...
26 KB (898 words) - 19:50, 16 January 2025
Uniform 7-polytope (redirect from Hexiruncinated 7-cube)
Regular 6-cube honeycomb, represented by symbols {4,34,4}, B ~ 6 {\displaystyle {\tilde {B}}_{6}} , [31,1,33,4], 95 forms, 64 shared with C ~ 6 {\displaystyle...
107 KB (1,015 words) - 21:19, 18 April 2025
the Platonic solids—truncated tetrahedron, truncated octahedron, truncated cube, truncated dodecahedron, and truncated icosahedron—and included illustrations...
66 KB (2,584 words) - 20:01, 30 March 2025
D6 polytope (category 6-polytopes)
In 6-dimensional geometry, there are 47 uniform polytopes with D6 symmetry, of which 16 are unique and 31 are shared with the B6 symmetry. There are two...
10 KB (271 words) - 16:14, 7 February 2023
lower-symmetry construction of the order-4 square tiling honeycomb itself. The cantic order-4 square tiling honeycomb is a lower-symmetry construction of the...
20 KB (845 words) - 15:01, 8 December 2024
In seven-dimensional geometry, a pentic 7-cube is a convex uniform 7-polytope, related to the uniform 7-demicube. There are 8 unique forms. The Cartesian...
6 KB (242 words) - 10:39, 28 May 2020
Uniform 8-polytope (redirect from Runcic 8-cube)
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
a 3-on-3 basketball league founded by the hip-hop musician and actor Ice Cube and entertainment executive Jeff Kwatinetz. The league consists of 12 teams...
41 KB (3,696 words) - 19:53, 19 May 2025
Paracompact uniform honeycombs (redirect from Cantic order-6 cubic honeycomb)
are 9 forms, generated by ring permutations of the Coxeter group: There are 6 forms, generated by ring permutations of the Coxeter group: . There are 11...
257 KB (1,055 words) - 14:44, 13 March 2025
Uniform 4-polytope (redirect from Snub cube antiprism)
snub 24-cell here, despite its common name, is not analogous to the snub cube; rather, it is derived by an alternation of the truncated 24-cell. Its symmetry...
134 KB (4,315 words) - 11:59, 20 April 2025
[8] D4 [6] D3 [4] A7 [8] A5 [6] A3 [4] 1 = 8-demicube (hocto) 2 = cantic 8-cube (thocto) 3 = runcic 8-cube 4 = steric 8-cube 5 = pentic 8-cube 6 = hexic...
34 KB (136 words) - 18:34, 6 May 2025
Team Miles (category CubeSats)
Team Miles was a 6U CubeSat that was to demonstrate navigation in deep space using innovative plasma thrusters. It was also to test a software-defined...
9 KB (716 words) - 15:19, 2 March 2025
They Can't All Be Zingers (redirect from They cant all be zingers)
the Tom Waits collaboration "Coattails of a Dead Man", and "Mary the Ice Cube" from the 2003 DVD/EP Animals Should Not Try to Act Like People. The Best...
5 KB (323 words) - 06:39, 7 May 2025
such regular polytopes, all convex: {3,3,3,3} - 5-simplex {4,3,3,3} - 5-cube {3,3,3,4} - 5-orthoplex There are no nonconvex regular polytopes in 5 dimensions...
92 KB (2,241 words) - 02:24, 28 October 2024