List of regular polytope compounds information

lists the regular polytope compounds in Euclidean, spherical and hyperbolic spaces. For any natural number n, there are n-pointed star regular polygonal...

article lists the regular polytopes in Euclidean, spherical and hyperbolic spaces. This table shows a summary of regular polytope counts by rank. Only...

mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry. In particular...

his book Regular Polytopes. McMullen added six in his paper New Regular Compounds of 4-Polytopes. Self-duals: Dual pairs: Uniform compounds and duals...

geometry, a polytope is a geometric object with flat sides (faces). Polytopes are the generalization of three-dimensional polyhedra to any number of dimensions...

tessaract. As a regular polytope with three cubes folded together around every edge, it has Schläfli symbol {4,3,3} with hyperoctahedral symmetry of order 384...

Wiley::Kaleidoscopes: Selected Writings of H.S.M. Coxeter (Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I, [Math. Zeit. 46 (1940) 380–407,...

10-polytope 10-cube 10-demicube 10-orthoplex 10-simplex Regular polytope and List of regular polytopes Simplex Hypercube Cross-polytope Uniform polytope...

tetrahedron of the cube is an example of a Heronian tetrahedron. Every regular polytope, including the regular tetrahedron, has its characteristic orthoscheme...

case of the more general concept of a cross polytope. A regular octahedron is a 3-ball in the Manhattan (ℓ1) metric. If the edge length of a regular octahedron...

"Nets of a Solids | Geometry |Nets of a Cube |Nets of a Cone & Cylinder". Coxeter 1973, p. 12, §1.8 Configurations. Park, Poo-Sung. "Regular polytope distances"...

deltahedron. Euclidean tilings by convex regular polygons Platonic solid List of regular polytopes and compounds Equilateral polygon Carlyle circle Hwa...

comparison mensuration. It also has many relations with other polytopes. The appearance of regular icosahedron can be found in nature, such as the virus with...

vertices colored by the number of overlapping vertices in each projective position. H.S.M. Coxeter: H.S.M. Coxeter, Regular Polytopes, 3rd Edition, Dover New...

stellation is the process of extending a polygon in two dimensions, polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a...

there are 9 uniform 4-polytopes with F4 symmetry, and one chiral half symmetry, the snub 24-cell. There is one self-dual regular form, the 24-cell with...

Goldberg polyhedron Kepler-Poinsot polyhedron List of regular polytopes Prince Rupert's cube Regular polytope Regular skew polyhedron Toroidal polyhedron Gardner...

four-dimensional 120-cell, a regular 4-dimensional polytope, constructed from 120 dodecahedra, projecting it down to 3-dimensions. The regular dodecahedron can also...

emblem of Azerbaijan. An eleven pointed star called the hendecagram was used on the tomb of Shah Nematollah Vali. List of regular polytopes and compounds#Stars...

In geometry, a pentagonal polytope is a regular polytope in n dimensions constructed from the Hn Coxeter group. The family was named by H. S. M. Coxeter...