120cell
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English
[edit]Noun
[edit] (geometry) A fourdimensional polytope, analogous to a dodecahedron, whose 120 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”, in 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°.
Synonyms
[edit] (fourdimensional polytope): dodecacontachoron, dodecaplex, hecatonicosachoron, hecatonicosahedroid, hyperdodecahedron, polydodecahedron
Derived terms
[edit] 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
Translations
[edit]fourdimensional polytope
