120cell
Contents
EnglishEdit
NounEdit
 (geometry) A fourdimensional polytope, analogous to a dodecahedron, whose one hundred and twenty bounding facets are dodecahedra.
 1964, Canadian Mathematical Bulletin, page 394,
 The triacontagonal projection of the 120cell was first drawn by W. A. Wythoff, but not in reproducible form.

1987, Jeffrey Hurst Butler, Hyperplane sections of regular star polytopes^{[1]}, page 28:
 In dimension four there are ten star polytopes which together with the 120cell and 600cell form the family of pentagonal polytopes (those regular 4polytopes possessing axes of fivefold symmetry); all twelve have the same symmetry group.
 2006, John G. Radcliffe, The Geometry of Hyperbolic Manifolds of Dimension a least 4, András Prékopa, Emil Molnár (editors), NonEuclidean Geometries: János Bolyai Memorial Volume, page 270,
 In 1985, M. Davis [3] gave the first explicit geometric construction of a closed hyperbolic 4manifold by gluing together the opposite sides of a regular hyperbolic 120cell P with dihedral angle 72°.
 1964, Canadian Mathematical Bulletin, page 394,
SynonymsEdit
 (fourdimensional polytope): dodecacontachoron, dodecaplex, hecatonicosachoron, hecatonicosahedroid, hyperdodecahedron, polydodecahedron
Derived termsEdit
 Davis 120cell (4dimensional manifold in hyperbolic geometry constructed from a hyperbolic 120cell),
 grand 120cell
 grand stellated 120cell
 great 120cell
 great stellated 120cell
 great grand 120cell
 great grand stellated 120cell
 small stellated 120cell
TranslationsEdit
fourdimensional polytope

