Self-dual polytope

A self-dual polytope is a dual polytope topologically equivalent to the base polytope. The number of elements of a dual polytope follow a palindromic pattern. The cells of a self-dual polytope is equivalent to the dual of its vertex figure(s).

The self-dual regular polytopes are the regular polygons in two dimensions, the simplexes in any dimension, and the icositetrachoron, great hecatonicosachoron, and grand stellated hecatonicosachoron in four dimensions.