Dictionary

120-cell en · NOUN

Meanings

1. A 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:
   • 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:

Forms

Deriveds

great grand stellated 120-cell · grand 120-cell · Davis 120-cell · great 120-cell · great grand 120-cell · small stellated 120-cell · great stellated 120-cell · grand stellated 120-cell

Synonyms

hecatonicosachoron · dodecacontachoron · polydodecahedron · hecatonicosahedroid · dodecaplex · hyperdodecahedron

Translations (5)

ko 정백이십포체 (four-dimensional polytope) · eo centdudekĉelo (four-dimensional polytope) · it 120-celle (four-dimensional polytope) · it iperdodecaedro (four-dimensional polytope) · ja 正百二十胞体 (four-dimensional polytope)