Runcinated 6-orthoplex
Encyclopedia
6-cube |
Runcinated 6-cube Runcinated 6-cube In six-dimensional geometry, a runcinated 6-cube is a convex uniform 6-polytope with 3rd order truncations of the regular 6-cube.There are 12 unique runcinations of the 6-cube with permutations of truncations, and cantellations... |
Biruncinated 6-cube |
Runcinated 6-orthoplex |
6-orthoplex |
Runcitruncated 6-cube |
Biruncitruncated 6-cube |
Runcicantellated 6-orthoplex |
Runcicantellated 6-cube |
Biruncitruncated 6-orthoplex |
Runcitruncated 6-orthoplex |
Runcicantitruncated 6-cube |
Biruncicantitruncated 6-cube |
Runcicantitruncated 6-orthoplex |
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| Orthogonal projections in BC6 Coxeter plane | ||||
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In six-dimensional geometry
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
, a runcinated 6-orthplex is a convex uniform 6-polytope with 3rd order truncations
Truncation (geometry)
In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex.- Uniform truncation :...
(runcination
Runcination
In geometry, runcination is an operation that cuts a regular polytope simultaneously along the faces, edges and vertices, creating new facets in place of the original face, edge, and vertex centers....
) of the regular 6-orthoplex.
There are 12 unique runcinations of the 6-orthoplex with permutation
Permutation
In mathematics, the notion of permutation is used with several slightly different meanings, all related to the act of permuting objects or values. Informally, a permutation of a set of objects is an arrangement of those objects into a particular order...
s of truncations, and cantellations. Half are expressed relative to the dual 6-cube.