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The vertices of the cantellated 5-simplex can be most simply constructed on a hyperplane in 6-space as permutations of (0,0,0,1,1,2) or of (0,1,1,2,2,2). These represent positive orthant facets of the cantellated hexacross and bicantellated hexeract respectively.
A stericated 5-simplex can be constructed by an expansion operation applied to the regular 5-simplex, and thus is also sometimes called an expanded 5-simplex.It has 30 vertices, 120 edges, 210 faces (120 triangles and 90 squares), 180 cells (60 tetrahedra and 120 triangular prisms) and 62 4-faces (12 5-cells, 30 tetrahedral prisms and 20 3-3 duoprisms).
The compound of two 5-simplexes in dual configurations can be seen in this A6 Coxeter plane projection, with a red and blue 5-simplex vertices and edges. This compound has [[3,3,3,3]] symmetry, order 1440. The intersection of these two 5-simplexes is a uniform birectified 5-simplex. = ∩ .
In five-dimensional geometry, a truncated 5-simplex is a convex uniform 5-polytope, being a truncation of the regular 5-simplex. There are unique 2 degrees of truncation. Vertices of the truncation 5-simplex are located as pairs on the edge of the 5-simplex. Vertices of the bitruncation 5-simplex are located on the triangular faces of the 5 ...
In six-dimensional geometry, a runcinated 5-simplex is a convex uniform 5-polytope with 3rd order truncations (Runcination) of the regular 5-simplex. There are 4 unique runcinations of the 5-simplex with permutations of truncations, and cantellations .
Martin Evans (1916 – 29 December 2003) was influential in the field of model engineering and locomotive design, and also worked as the technical editor and eventually managing editor of the English magazine Model Engineer. [1]
By the morning of Nov. 5, the organizer had gathered and vetted 200 drivers to offer rides and dozens of phone bank workers to take calls. But first, Burwell-Perry had to find the weddings.
The birectified 5-simplex, 0 22, is second in a dimensional series of uniform polytopes, expressed by Coxeter as k 22 series. The birectified 5-simplex is the vertex figure for the third, the 1 22. The fourth figure is a Euclidean honeycomb, 2 22, and the final is a noncompact hyperbolic honeycomb, 3 22.
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