Stellation



At its simplest, stellation is the process of extending the facets of a polytope until they meet, forming a new polytope of the same rank as the original.

The "stellation diagram" for the facet of a polytope is formed by finding all the intersections of the facet's hyperplane with other facets' hyperplanes. The furthest extents of the stellation diagram form the facet of the "final stellation" of the polytope.

A stellation may be a compound, even if the original polytope isn't. If an isotopic polytope has a convex core, it is a stellation of the core.