Hexicated 8-simplexes

In eight-dimensional geometry, a hexicated 8-simplex is a uniform 8-polytope, being a hexication of the regular 8-simplex.
Acronym: supane

Coordinates

The Cartesian coordinates of the vertices of the hexicated 8-simplex can be most simply positioned in 9-space as permutations of. This construction is based on facets of the hexicated 9-orthoplex.

Related polytopes

This polytope is one of 135 uniform 8-polytopes with A₈ symmetry.