Grand stellated hecatonicosachoron

The grand stellated hecatonicosachoron, or gashi, also commonly called the grand stellated 120-cell, is one of the 10 regular Schläfli–Hess polychora. It has 120 small stellated dodecahedra as cells, joining 5 to an edge and 12 to a vertex in the form of a great dodecahedron.

It is a faceting of the great stellated hecatonicosachoron, sharing its vertices, edges, and faces.

It is one of two regular star polychora to be self-dual, the other one being the great hecatonicosachoron, which is the conjugate of this polychoron.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the great stellated hecatonicosachoron.

Related polychora
Uniform polychoron compounds composed of grand stellated hecatonicosachora include:


 * Grand stellated diacositetracontachoron (2)
 * Grand stellated chirohexacosichoron (5)
 * Grand stellated chirododecahedral hyperprismatochoron (6)
 * Grand stellated dishexacosichoron (10)
 * Grand stellated disdodecahedral hyperprismatochoron (12)