120-cell

plural 120-cells

1. geometryA four-dimensional polytope, analogous to a dodecahedron, whose 120 bounding facets are dodecahedra.

   The triacontagonal projection of the 120-cell was first drawn by W. A. Wythoff, but not in reproducible form.

   1964, Canadian Mathematical Bulletin, page 394

   2 more examples

   In dimension four there are ten star polytopes which together with the 120-cell and 600-cell form the family of pentagonal polytopes (those regular 4-polytopes possessing axes of fivefold symmetry); all twelve have the same symmetry group.

   1987, Jeffrey Hurst Butler, Hyperplane sections of regular star polytopes, page 28

   In 1985, M. Davis [3] gave the first explicit geometric construction of a closed hyperbolic 4-manifold by gluing together the opposite sides of a regular hyperbolic 120-cell P with dihedral angle 72°.

   2006, John G. Radcliffe, “The Geometry of Hyperbolic Manifolds of Dimension a least 4”, in András Prékopa, Emil Molnár, editors, Non-Euclidean Geometries: János Bolyai Memorial Volume, page 270

   Synonyms: dodecacontachoron, dodecaplex, hecatonicosachoron, hecatonicosahedroid, hyperdodecahedron, polydodecahedron