In geometry, demihypercubes (also called n-demicubes, n-hemicubes, and half measure polytopes) are a class of n-polytopes constructed from alternation...
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Tetrahedron (redirect from 3-demihypercube)
Platonic solid. Boerdijk–Coxeter helix Möbius configuration Caltrop Demihypercube and simplex – n-dimensional analogues Pentachoron – 4-dimensional analogue...
76 KB (9,506 words) - 04:09, 11 March 2025
16-cell (redirect from 4-demihypercube)
the 16-cell, called a demitesseract or 4-demicube, a member of the demihypercube family, and represented by h{4,3,3}, and Coxeter diagrams or . It can...
61 KB (7,127 words) - 15:37, 20 May 2025
Polytopes and shapes Hyperplane Hypersurface Hypercube Hyperrectangle Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex...
47 KB (6,970 words) - 22:12, 9 June 2025
9-demicube (redirect from 9-demihypercube)
part of a dimensionally infinite family of uniform polytopes called demihypercubes. E. L. Elte identified it in 1912 as a semiregular polytope, labeling...
5 KB (332 words) - 21:56, 12 December 2023
Polytopes and shapes Hyperplane Hypersurface Hypercube Hyperrectangle Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex...
9 KB (1,485 words) - 09:34, 2 November 2024
5-demicube (redirect from 5-demihypercube)
removed. It is a part of a dimensional family of uniform polytopes called demihypercubes for being alternation of the hypercube family. There are 23 Uniform...
9 KB (670 words) - 16:53, 9 April 2024
Polytopes and shapes Hyperplane Hypersurface Hypercube Hyperrectangle Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex...
24 KB (3,145 words) - 17:04, 15 March 2025
10-demicube (redirect from 10-demihypercube)
part of a dimensionally infinite family of uniform polytopes called demihypercubes. E. L. Elte identified it in 1912 as a semiregular polytope, labeling...
6 KB (426 words) - 12:38, 28 May 2024
Polytopes and shapes Hyperplane Hypersurface Hypercube Hyperrectangle Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex...
26 KB (2,747 words) - 15:56, 25 April 2025
Polytopes and shapes Hyperplane Hypersurface Hypercube Hyperrectangle Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex...
7 KB (803 words) - 22:02, 19 August 2024
6-demicube (redirect from 6-demihypercube)
part of a dimensionally infinite family of uniform polytopes called demihypercubes. Acronym: hax. E. L. Elte identified it in 1912 as a semiregular polytope...
10 KB (644 words) - 18:22, 1 June 2025
8-demicube (redirect from 8-demihypercube)
part of a dimensionally infinite family of uniform polytopes called demihypercubes. E. L. Elte identified it in 1912 as a semiregular polytope, labeling...
5 KB (339 words) - 21:57, 12 December 2023
the n-demihypercube as 1k1, and an alternated form of the n-orthoplex, k11, constructed with alternating simplex facets. Rectified n-demihypercubes, a lower...
21 KB (821 words) - 18:22, 2 October 2024
Polytopes and shapes Hyperplane Hypersurface Hypercube Hyperrectangle Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex...
15 KB (1,649 words) - 10:02, 16 May 2025
Polytopes and shapes Hyperplane Hypersurface Hypercube Hyperrectangle Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex...
11 KB (1,736 words) - 23:00, 7 May 2025
formed as an alternation of a hypercubic honeycomb and being composed of demihypercube and cross-polytope facets. It is also part of another infinite family...
33 KB (2,203 words) - 19:56, 14 April 2025
Polytopes and shapes Hyperplane Hypersurface Hypercube Hyperrectangle Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex...
96 KB (12,657 words) - 15:21, 16 June 2025
topological structures, such as incidence structures. Monogon Polygon Demihypercube "ResearchGate". The Symmetries of Things 2008, John H. Conway, Heidi...
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Polytopes and shapes Hyperplane Hypersurface Hypercube Hyperrectangle Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex...
35 KB (3,931 words) - 13:39, 16 June 2025
Polytopes and shapes Hyperplane Hypersurface Hypercube Hyperrectangle Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex...
38 KB (7,340 words) - 12:18, 14 June 2025
7-demicube (redirect from 7-demihypercube)
part of a dimensionally infinite family of uniform polytopes called demihypercubes. E. L. Elte identified it in 1912 as a semiregular polytope, labeling...
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_{5}} simplex group, 23 from the D 5 {\displaystyle \mathrm {D} _{5}} demihypercube group, and 31 from the B 5 {\displaystyle \mathrm {B} _{5}} hypercubic...
14 KB (2,004 words) - 14:56, 9 April 2025
Polytopes and shapes Hyperplane Hypersurface Hypercube Hyperrectangle Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex...
3 KB (398 words) - 23:21, 25 December 2024
Coxeter group D n {\displaystyle D_{n}} and is the symmetry group of the demihypercube. It is a subgroup of the orthogonal group. Monomial matrices occur in...
6 KB (899 words) - 21:04, 14 April 2025
Polytopes and shapes Hyperplane Hypersurface Hypercube Hyperrectangle Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex...
9 KB (1,322 words) - 21:22, 11 February 2025
Polytopes and shapes Hyperplane Hypersurface Hypercube Hyperrectangle Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex...
13 KB (1,483 words) - 11:16, 5 April 2025
Polytopes and shapes Hyperplane Hypersurface Hypercube Hyperrectangle Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex...
51 KB (7,872 words) - 20:20, 8 May 2025
Polytopes and shapes Hyperplane Hypersurface Hypercube Hyperrectangle Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex...
2 KB (208 words) - 01:54, 31 December 2024
Polytopes and shapes Hyperplane Hypersurface Hypercube Hyperrectangle Demihypercube Hypersphere Cross-polytope Simplex Hyperpyramid Number systems Hypercomplex...
5 KB (790 words) - 23:15, 27 November 2023