Some of the things I've learned every day since Oct 10, 2016
11: Self-Dual Polytopes
October 20, 2016Posted by on
The dual structure of an -dimensional polytope is the result of exchanging each -face for an -face for , while maintaining the original connectivity between these. If this resulting structure is similar to the original polytope, the polytope is said to be self-dual.
Examples of self-dual polytopes include all regular 2-polytopes (regular polygons), and all regular simplices (equilateral triangles, regular tetrahedrons, etc.).