120-cell

English thumb|A Schlegel diagram of a 120-cell Noun 120-cell en geometry A four-dimensional polytope, analogous to a dodecahedron, whose 120 bounding facets are dodecahedra. en Higher-dimensional geometry en dodecacontachoron dodecaplex hecatonicosachoron hecatonicosahedroid hyperdodecahedron polydodecahedron en 1964 w:Canadian Mathematical Bulletin https://books.google.com.au/books?id=dxlND0gdXjsC&pg=PA394&dq=%22120-cell%22%7C%22120-cells%22&hl=en&sa=X&ved=0ahUKEwjb3q7Siu3MAhUj5aYKHYosD-IQ6AEITDAJ#v=onepage&q=%22120-cell%22%7C%22120-cells%22&f=false 394 The triacontagonal projection of the 120-cell was first drawn by W. A. Wythoff, but not in reproducible form. en 1987 Jeffrey Hurst Butler Hyperplane sections of regular star polytopes 28 https://books.google.com.au/books?id=WVhGAQAAIAAJ&q=%22120-cell%22%7C%22120-cells%22&dq=%22120-cell%22%7C%22120-cells%22&hl=en&sa=X&ved=0ahUKEwjb3q7Siu3MAhUj5aYKHYosD-IQ6AEIZjAP 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. en 2006 John G. Radcliffe The Geometry of Hyperbolic Manifolds of Dimension a least 4 András Prékopa; Emil Molnár Non-Euclidean Geometries: János Bolyai Memorial Volume https://books.google.com.au/books?id=ZXgKflOpXc8C&pg=PA270&dq=%22120-cell%22%7C%22120-cells%22&hl=en&sa=X&ved=0ahUKEwjb3q7Siu3MAhUj5aYKHYosD-IQ6AEIWDAM#v=onepage&q=%22120-cell%22%7C%22120-cells%22&f=false 270 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°. Derived terms en Davis 120-cell grand 120-cell grand stellated 120-cell great 120-cell great stellated 120-cell great grand 120-cell great grand stellated 120-cell small stellated 120-cell Translations four-dimensional polytope Esperanto: eo centdudekĉelo Italian: it 120-celle m, it iperdodecaedro m Japanese: ja 正百二十胞体 seihyakunijūhōtai Korean: ko 정백이십포체(正百二十胞體) en Mathematics Shapes