Search results
Results from the WOW.Com Content Network
In eight-dimensional geometry, a truncated 8-cube is a convex uniform 8-polytope, being a truncation of the regular 8-cube. There are unique 7 degrees of truncation for the 8-cube. Vertices of the truncation 8-cube are located as pairs on the edge of the 8-cube. Vertices of the bitruncated 8-cube are located on the square faces of the 8-cube.
It can also be called a regular hexdeca-8-tope or hexadecazetton, being an 8-dimensional polytope constructed from 16 regular facets. It is a part of an infinite family of polytopes, called hypercubes. The dual of an 8-cube can be called an 8-orthoplex and is a part of the infinite family of cross-polytopes.
In eight-dimensional geometry, a rectified 8-cube is a convex uniform 8-polytope, being a rectification of the regular 8-cube. There are unique 8 degrees of rectifications, the zeroth being the 8-cube, and the 7th and last being the 8-orthoplex. Vertices of the rectified 8-cube are located at the edge-centers of the 8-cube.
A broader family are the uniform 8-polytopes, constructed from fundamental symmetry domains of reflection, each domain defined by a Coxeter group. Each uniform polytope is defined by a ringed Coxeter-Dynkin diagram. The 8-demicube is a unique polytope from the D 8 family, and 4 21, 2 41, and 1 42 polytopes from the E 8 family.
In eight-dimensional geometry, a cantic 8-cube or truncated 8-demicube is a uniform 8-polytope, ... Norman Johnson Uniform Polytopes, Manuscript (1991)
Pages in category "8-polytopes" The following 33 pages are in this category, out of 33 total. ... 8-cube; 8-demicube; 8-orthoplex; Uniform 8-polytope; 8-simplex; A.
Symmetric orthographic projections of these 256 polytopes can be made in the B 8, B 7, B 6, B 5, B 4, B 3, B 2, A 7, A 5, A 3, Coxeter planes. A k has [k+1] symmetry, and B k has [2k] symmetry. These 256 polytopes are each shown in these 10 symmetry planes, with vertices and edges drawn, and vertices colored by the number of overlapping ...
or Category:4-polytopes: For Polyteron or Polytera: see 5-polytope: or Category:5-polytopes: For Polypeton or Polypeta: see 6-polytope: or Category:6-polytopes: For Polyexon or Polyexa: see 7-polytope: or Category:7-polytopes: For Polyzetton or Polyzetta: see 8-polytope: or Category:8-polytopes: For Polyyotton or Polyyotta: see 9-polytope: or ...