Snub cube containing uniform polyteron

[username5243]

We all know the snub cube and snub dodecahedron, and might be wondering if there might be any higher polytopes that use them. Well, as of yesterday, Mecejide on the Polytope Discord has found a 5D nonconvex uniform polytope with snub cube cells (and snub cube prism facets).

The object is a blend of 10 square/snub cube duoprisms, blended in such a way so that their tesseract facets blend out. It has chiral penteractic symmetry and is, as far as I know, the first uniform polytope to use snub cube elements. In fact it's probably one of the first snub cube-containing objects in classes we've studied, since AFAIK no CRF has been found which uses snub cubes other than the obvious prism.

There also appear to be similar objects in higher dimensions. A 6D blend of snub cubic duoprisms has already been verified to exist.

[quickfur]

Well, the Cartesian product of the snub cube / snub dodecahedron with just about anything will give you a polytope that contains snub cubes / snub dodecahedra as elements. The product with a line segment gives you their respective prisms, the product with themselves give you their duoprisms, etc.. This isn't very surprising, nor interesting. What's actually interesting is when you have a polytope that contains these elements attached at non-right angles and still close up in some nice way.