Blind polytope

The Blind polytopes are named after the researching German couple Gerd and Roswitha Blind, who enlisted in the 1990s all convex polytopes with regular facets up to the various diminishings of the hexacosichoron.

The non-uniform ones then happen to be
 * Tetrahedral bipyramid together with the according higher-dimensional equivalents
 * Octahedral pyramid together with the according higher-dimensional equivalents
 * Icosahedral pyramid
 * Icosahedral bipyramid
 * Augmented rectified pentachoron
 * millions more or less asymmetric diminishings of the hexacosichoron

In 2008 Mathieu Dutour Sikiri´c and Wendy Myrvold finally managed to provide the number of polytopes in the last class to be 314248344.