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Truncated 8-simplexes

In eight-dimensional geometry, a truncated 8-simplex is a convex uniform 8-polytope, being a truncation of the regular 8-simplex.

Truncated 8-simplex
Alternate names • Truncated enneazetton (Acronym: tene) (Jonathan Bowers) Coordinates The Cartesian coordinates of the vertices of the truncated 8-simplex can be most simply positioned in 9-space as permutations of (0,0,0,0,0,0,0,1,2). This construction is based on facets of the truncated 9-orthoplex. Images == Bitruncated 8-simplex ==
Bitruncated 8-simplex
Alternate names • Bitruncated enneazetton (Acronym: batene) (Jonathan Bowers) Coordinates The Cartesian coordinates of the vertices of the bitruncated 8-simplex can be most simply positioned in 9-space as permutations of (0,0,0,0,0,0,1,2,2). This construction is based on facets of the bitruncated 9-orthoplex. Images == Tritruncated 8-simplex ==
Tritruncated 8-simplex
Alternate names • Tritruncated enneazetton (Acronym: tatene) (Jonathan Bowers) Coordinates The Cartesian coordinates of the vertices of the tritruncated 8-simplex can be most simply positioned in 9-space as permutations of (0,0,0,0,0,1,2,2,2). This construction is based on facets of the tritruncated 9-orthoplex. Images == Quadritruncated 8-simplex ==
Quadritruncated 8-simplex
The quadritruncated 8-simplex an isotopic polytope, constructed from 18 tritruncated 7-simplex facets. Alternate names • Octadecazetton (18-facetted 8-polytope) (Acronym: be) (Jonathan Bowers) Coordinates The Cartesian coordinates of the vertices of the quadritruncated 8-simplex can be most simply positioned in 9-space as permutations of (0,0,0,0,1,2,2,2,2). This construction is based on facets of the quadritruncated 9-orthoplex. Images Related polytopes The four presented polytopes are in the family of 135 uniform 8-polytopes with A8 symmetry. == Notes ==
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