600-cell

English right|thumb|A vertex-centred Schlegel diagram of a 600-cell Noun 600-cell en geometry A four-dimensional polytope, analogous to an icosahedron, whose 600 bounding facets are tetrahedra. en Higher-dimensional geometry 1995, J. Bokowski, On the Construction of Equifacetted 3-Spheres, Neil L. White, Invariant Methods in Discrete and Computational Geometry: Proceedings of the Curaçao Conference, page 303, P. McMullen has pointed out to the author that he has constructed an interesting equifacetted 3-sphere in his Ph.D.Thesis by starting with the 600-cell. en 2005 Lawrence B. Crowell Quantum Fluctuations of Spacetime 25 https://books.google.com.au/books?id=F123hn-oMS0C&pg=PA329&dq=%22600-cell%22%7C%22600-cells%22&hl=en&sa=X&ved=0ahUKEwjc5sqsye3MAhVEo5QKHSQBD6kQ6AEINzAE#v=onepage&q=%22600-cell%22%7C%22600-cells%22&f=false 329 World Scientific Series in Contemporary Chemical Physics The dual to the 120-cell is the 600-cell. The 600-cell is a 4-dimensional convex regular polytope with 600 facets. Its Schläfli symbol of the 600-cell is {3, 3, 5}. It is a 4-dimensional analogue of the icosahedron, constructed by the golden ratio on the edges of an octohedron. en 2012 John Barnes Gems of Geometry 2nd https://books.google.com.au/books?id=7YCUBUd-4BQC&pg=PA79&dq=%22600-cell%22%7C%22600-cells%22&hl=en&sa=X&ved=0ahUKEwjc5sqsye3MAhVEo5QKHSQBD6kQ6AEIRjAH#v=onepage&q=%22600-cell%22%7C%22600-cells%22&f=false 79 The other two figures are the 120-cell and 600-cell which form a dual pair as is clear from their Schläfli symbols being the reverse of each other. Synonyms 4-dimensional polytope en hexacosichoron, en hexacosidedroid Hypernyms 4-dimensional polytope en tetraplex, en polytetrahedron Derived terms grand 600-cell Translations four-dimensional polytope Esperanto: eo sescentĉelo Italian: it 600-cella f, it tetraplesso m, it esacosicoro m Japanese: ja 正六百胞体 せいろっぴゃくほうたい, seiroppyakuhōtai Korean: ko 정육백포체(正六百胞體) Spanish: es hexacosicoron m en Mathematics Shapes