Expansion (geometry)
Geometric operation on convex polytopes / From Wikipedia, the free encyclopedia
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Not to be confused with enlargement (geometry).
In geometry, expansion is a polytope operation where facets are separated and moved radially apart, and new facets are formed at separated elements (vertices, edges, etc.). Equivalently this operation can be imagined by keeping facets in the same position but reducing their size.
The expansion of a regular convex polytope creates a uniform convex polytope.
For polyhedra, an expanded polyhedron has all the faces of the original polyhedron, all the faces of the dual polyhedron, and new square faces in place of the original edges.