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About this Product
There are six regular convex polytopes in 4D, which are analogous to
the five Platonic solids in 3D. This one is the odd polytope out, the one without a 3D counterpart.
It has 24 octahedral cells, all shown in this Schlegel diagram. Like the pentachoron
it's self-dual -- the only self-dual solid in any dimension > 2 that is not a simplex. And if that wasn't enough, it's also the only regular convex polytope in any dimension > 2 that tiles its space and is not a hypercube.