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...

In geometry, demihypercubes (also called n-demicubes, n-hemicubes, and half measure polytopes) are a class of n-polytopes constructed from alternation...

vertices of the dekeract, creates another uniform polytope, called a 10-demicube, (part of an infinite family called demihypercubes), which has 20 demienneractic...

8-demicube, Truncated 8-demicube, Cantellated 8-demicube, Runcinated 8-demicube, Stericated 8-demicube, Pentellated 8-demicube, Hexicated 8-demicube[citation...

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...

8-demicube, Truncated 8-demicube, Cantellated 8-demicube, Runcinated 8-demicube, Stericated 8-demicube, Pentellated 8-demicube, Hexicated 8-demicube 8-cube...

In five-dimensional geometry, a demipenteract or 5-demicube is a semiregular 5-polytope, constructed from a 5-hypercube (penteract) with alternated vertices...

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...

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...

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...

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...

In geometry, a demihepteract or 7-demicube is a uniform 7-polytope, constructed from the 7-hypercube (hepteract) with alternated vertices removed. It is...

In geometry, a demiocteract or 8-demicube is a uniform 8-polytope, constructed from the 8-hypercube, octeract, with alternated vertices removed. It is...

Discrete & Computational Geometry, 49 (3): 511–530, arXiv:1201.6543, doi:10.1007/s00454-013-9488-y, MR 3038527, S2CID 30946324 Cottle, Richard W. (1982)...

Communications in Mathematics and Applications. 11: 335–355. arXiv:2010.12340. doi:10.26713/cma.v11i3.1420 (inactive 31 January 2024).{{cite journal}}: CS1 maint:...

Uniform polyhedra: Decagonal prism – 10 squares, 2 decagons, D10h symmetry, order 40. Pentagonal antiprism – 10 equilateral triangles, 2 pentagons, D5d...

W = 2 − 2 5 ⋅ H ≈ 1.051   H , R = 5 + 5 10 t ≈ 0.8507   t , D = R   5 + 5 2 = 2 R cos ⁡ 18 ∘ = 2 R cos ⁡ π 10 ≈ 1.902   R . {\displaystyle {\begin{aligned}H&={\frac...

degree rotation. [ 6 5 10 10 5 2 15 4 6 4 3 3 20 3 3 4 6 4 15 2 5 10 10 5 6 ] {\displaystyle {\begin{bmatrix}{\begin{matrix}6&5&10&10...

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...

Analogies to N-body systems". Advances in Engineering Software. 137. 102709. doi:10.1016/j.advengsoft.2019.102709. ISSN 0965-9978. Coxeter 1973, p. 122, §7·25...

{4,38} - 10-cube or dekeract - {38,4} - 10-orthoplex or decacross - h{4,38} - 10-demicube . Demihypercube D10 family: [37,1,1] - 767 uniform 10-polytopes...

{6/2}, {6/3} Octagons – {8/2}, {8/4} Enneagon – {9/3} Decagons – {10/2}, {10/4}, and {10/5} Dodecagons – {12/2}, {12/3}, {12/4}, and {12/6} Depending on...

applications" (PDF). Journal of Inequalities in Pure and Applied Mathematics. 10 (1): 1–6 (Article No. 16). ISSN 1443-5756. MR 2491926. S2CID 115305257. Zbl 1163...

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...

The triangle, quadrilateral and nonagon are exceptions. Beyond decagons (10-sided) and dodecagons (12-sided), mathematicians generally use numerical notation...

vertices of the octeract, creates another uniform polytope, called a 8-demicube, (part of an infinite family called demihypercubes), which has 16 demihepteractic...

vector on the simplex of n". Operations Research Letters. 8 (4): 219. doi:10.1016/0167-6377(89)90064-3. A derivation of a very similar formula can be found...

doi:10.1155/S0161171204307118. Johnson, Norman W. (1966). "Convex polyhedra with regular faces". Canadian Journal of Mathematics. 18: 169–200. doi:10.4153/cjm-1966-021-8...

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...

another uniform polytope, called a 9-demicube, (part of an infinite family called demihypercubes), which has 18 8-demicube and 256 8-simplex facets. H.S.M...