X-Nico

Hanner polytope

In geometry, a Hanner polytope is a convex polytope constructed recursively by Cartesian product and polar dual operations.

Moment measure

where $\backslash textstyle\; B\; 1,...,B\; n$ is a collection of not necessarily disjoint Borel sets (in $\backslash textstyle\; \backslash textbf\{R\}^\{\; d\}$), which form a $\backslash textstyle\; n$-fold Cartesian product of sets denoted by $B\; 1\backslash times,\backslash dots,\backslash times\; B\; n$.

Uniform polytope

The ones that have include the 10 regular nonconvex polychora (Schläfli-Hess polychora) and 57 prisms on the nonconvex uniform polyhedra, as well as three infinite families: the prisms on the star antiprisms, the duoprisms formed by multiplying two star polygons, and the duoprisms formed by multiplying an ordinary polygon with a star polygon.

see also