Great faceted hexacosichoron

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

The great faceted hexacosichoron is a faceting of the great stellated hecatonicosachoron, sharing its vertices and edges. The cells are in the same planes as the small stellated dodecahedra of the grand stellated hecatonicosachoron.

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

Related polychora
The great faceted hexacosichoron is the captain of a company in the regiment of the great stellated hecatonicosachoron, having the same faces as the grand hexacosichoron.

Uniform polychoron compounds composed of faceted hexacosichora include:


 * Great faceted chirotetrahedral dishexacosichoron (2)
 * Great faceted snub pentishecatonicosachoron (5)
 * Great chiricosahedral hyperprismatochoron (6)
 * Great faceted snub decahecatonicosachoron (10)
 * Great disicosahedral hyperprismatochoron (12)