In geometry, a demienneract or 9-demicube is a uniform 9-polytope, constructed from the 9-cube, with alternated vertices removed. It is part of a dimensionally...
5 KB (332 words) - 21:56, 12 December 2023
8-demicube, Truncated 8-demicube, Cantellated 8-demicube, Runcinated 8-demicube, Stericated 8-demicube, Pentellated 8-demicube, Hexicated 8-demicube[citation...
47 KB (3,580 words) - 17:01, 29 June 2024
8-demicube, Truncated 8-demicube, Cantellated 8-demicube, Runcinated 8-demicube, Stericated 8-demicube, Pentellated 8-demicube, Hexicated 8-demicube 8-cube...
30 KB (2,685 words) - 07:39, 28 July 2024
Demihypercube (redirect from 11-demicube)
In geometry, demihypercubes (also called n-demicubes, n-hemicubes, and half measure polytopes) are a class of n-polytopes constructed from alternation...
12 KB (702 words) - 03:30, 24 July 2024
of the 9-cube, creates another uniform polytope, called a 9-demicube, (part of an infinite family called demihypercubes), which has 18 8-demicube and 256...
6 KB (428 words) - 04:54, 25 October 2023
In geometry, a 10-demicube or demidekeract is a uniform 10-polytope, constructed from the 10-cube with alternated vertices removed. It is part of a dimensionally...
6 KB (426 words) - 12:38, 28 May 2024
the group diagram, including: {31,6,1} - 9-demicube or demienneract, 161 - ; also as h{4,38} . {36,1,1} - 9-orthoplex, 611 - The A9 family has symmetry...
82 KB (894 words) - 15:27, 21 January 2024
In five-dimensional geometry, a demipenteract or 5-demicube is a semiregular 5-polytope, constructed from a 5-hypercube (penteract) with alternated vertices...
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vertices of the dekeract, creates another uniform polytope, called a 10-demicube, (part of an infinite family called demihypercubes), which has 20 demienneractic...
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8-simplex 8-orthoplex • 8-cube 8-demicube 142 • 241 • 421 Uniform 9-polytope 9-simplex 9-orthoplex • 9-cube 9-demicube Uniform 10-polytope 10-simplex 10-orthoplex...
25 KB (2,644 words) - 21:19, 2 September 2024
Hexic 7-cubes (redirect from Pentitruncated 7-demicube)
7-cube is a convex uniform 7-polytope, constructed from the uniform 7-demicube. There are 16 unique forms. The Cartesian coordinates for the vertices...
8 KB (242 words) - 13:41, 30 November 2020
In geometry, a 6-demicube or demihexeract is a uniform 6-polytope, constructed from a 6-cube (hexeract) with alternated vertices removed. It is part of...
10 KB (629 words) - 16:51, 9 April 2024
8-simplex 8-orthoplex • 8-cube 8-demicube 142 • 241 • 421 Uniform 9-polytope 9-simplex 9-orthoplex • 9-cube 9-demicube Uniform 10-polytope 10-simplex 10-orthoplex...
28 KB (2,027 words) - 21:44, 13 August 2024
another uniform polytope, called a 6-demicube, (part of an infinite family called demihypercubes), which has 12 5-demicube and 32 5-simplex facets. This configuration...
9 KB (604 words) - 02:39, 11 July 2024
vertices of the 5-cube, creates another uniform 5-polytope, called a 5-demicube, which is also part of an infinite family called the demihypercubes. The...
10 KB (826 words) - 03:51, 20 April 2024
In geometry, a demihepteract or 7-demicube is a uniform 7-polytope, constructed from the 7-hypercube (hepteract) with alternated vertices removed. It is...
9 KB (449 words) - 16:49, 9 April 2024
In geometry, a demiocteract or 8-demicube is a uniform 8-polytope, constructed from the 8-hypercube, octeract, with alternated vertices removed. It is...
5 KB (339 words) - 21:57, 12 December 2023
8-simplex 8-orthoplex • 8-cube 8-demicube 142 • 241 • 421 Uniform 9-polytope 9-simplex 9-orthoplex • 9-cube 9-demicube Uniform 10-polytope 10-simplex 10-orthoplex...
10 KB (1,090 words) - 03:15, 26 July 2024
Tetrahedron (redirect from 3-demicube)
vertices of a cube, demonstrating that the regular tetrahedron is the 3-demicube, a polyhedron that is by alternating a cube. This form has Coxeter diagram...
75 KB (9,472 words) - 22:56, 26 August 2024
8-simplex 8-orthoplex • 8-cube 8-demicube 142 • 241 • 421 Uniform 9-polytope 9-simplex 9-orthoplex • 9-cube 9-demicube Uniform 10-polytope 10-simplex 10-orthoplex...
23 KB (3,049 words) - 22:30, 18 August 2024
flattened hexagons, like these Goldberg polyhedron G(2,0): There are also 9 Johnson solids with regular hexagons: The ideal crystalline structure of graphene...
30 KB (2,669 words) - 23:13, 1 July 2024
integration over an n-dimensional cube". Xiaofan Yang; Yuan Tang. "A (4n − 9)/3 diagnosis algorithm on n-dimensional cube network". Elte, E. L. (1912)...
26 KB (2,146 words) - 18:34, 30 August 2024
(Chapple-Euler) 9 R 2 = a 2 + b 2 + c 2 {\displaystyle 9R^{2}=a^{2}+b^{2}+c^{2}} r = r a + r b + r c 9 {\displaystyle r={\frac {r_{a}+r_{b}+r_{c}}{9}}} r a =...
28 KB (3,717 words) - 06:28, 15 May 2024
is 1 2 n ( n − 3 ) {\displaystyle {\tfrac {1}{2}}n(n-3)} ; i.e., 0, 2, 5, 9, ..., for a triangle, square, pentagon, hexagon, ... . The diagonals divide...
30 KB (3,196 words) - 03:47, 24 July 2024
Steric 7-cubes (redirect from Runcinated 7-demicubes)
runcinated 7-demicube) is a convex uniform 7-polytope, being a runcination of the uniform 7-demicube. There are 4 unique runcinations for the 7-demicube including...
4 KB (256 words) - 05:01, 26 December 2017
8-simplex 8-orthoplex • 8-cube 8-demicube 142 • 241 • 421 Uniform 9-polytope 9-simplex 9-orthoplex • 9-cube 9-demicube Uniform 10-polytope 10-simplex 10-orthoplex...
18 KB (2,343 words) - 03:08, 19 August 2024
16-cell (redirect from 4-demicube)
There is a lower symmetry form of the 16-cell, called a demitesseract or 4-demicube, a member of the demihypercube family, and represented by h{4,3,3}, and...
60 KB (7,175 words) - 03:39, 24 July 2024
determining success or failure of an action. It may be numbered from "0" to "9" twice, in which form it usually serves as a ten-sided die (d10); most modern...
37 KB (3,867 words) - 16:58, 2 September 2024
8-simplex 8-orthoplex • 8-cube 8-demicube 142 • 241 • 421 Uniform 9-polytope 9-simplex 9-orthoplex • 9-cube 9-demicube Uniform 10-polytope 10-simplex 10-orthoplex...
51 KB (7,842 words) - 23:22, 13 August 2024
Knowledge, 2nd ed, Fordham University Press, 1993, p. 86, ISBN 0-8232-1486-9. Russell, Bertrand, History of Western Philosophy, reprint edition, Routledge...
37 KB (4,287 words) - 18:20, 7 May 2024