Blind polytope

The Blind polytopes are the polytopes whose facets are all regular. As such, they are a specific subclass of the convex regular-faced polytopes. Blind polytopes are named after the researching German couple Gerd and Roswitha Blind, who enlisted all such polytopes in a series of papers during the 1980s.

The non-uniform ones are:
 * the Johnson solids,
 * the simplicial bipyramids,
 * the orthoplecial pyramids,
 * the icosahedral pyramid,
 * the icosahedral bipyramid,
 * the augmented rectified pentachora,
 * and the diminishings of the hexacosichoron by non-adjacent vertices.

In 2008 Mathieu Dutour Sikirić and Wendy Myrvold finally managed to provide the number of polytopes in the last class to be 314,248,344.