57-cell
In mathematics, the 57-cell (pentacontakaiheptachoron) is a self-dual abstract regular 4-polytope (four-dimensional polytope). Its 57 cells are hemi-dodecahedra. It also has 57 vertices, 171 edges and 171 two-dimensional faces. The symmetry order is 3420, from the product of the number of cells (57) and the symmetry of each cell (60). The symmetry abstract structure is the projective special linear group, L2(19). It has Schläfli symbol {(5,3)/2,5} with 5 hemi-dodecahedral cells, {5,3}/2, around each edge. It was discovered by H. S. M. Coxeter .
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11-cell120-cell4-polytope57 (number)Abstract polytopeHemi-dodecahedronList of mathematical shapesList of polygons, polyhedra and polytopesList of regular polytopes and compoundsOrder-5 dodecahedral honeycombPentacontaheptachoronPentacontaheptatopePentacontakaiheptachoronPerkel graphRegular 4-polytopeRegular polytope
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57-cell
In mathematics, the 57-cell (pentacontakaiheptachoron) is a self-dual abstract regular 4-polytope (four-dimensional polytope). Its 57 cells are hemi-dodecahedra. It also has 57 vertices, 171 edges and 171 two-dimensional faces. The symmetry order is 3420, from the product of the number of cells (57) and the symmetry of each cell (60). The symmetry abstract structure is the projective special linear group, L2(19). It has Schläfli symbol {(5,3)/2,5} with 5 hemi-dodecahedral cells, {5,3}/2, around each edge. It was discovered by H. S. M. Coxeter .
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In mathematics, the 57-cell (p ...... scovered by H. S. M. Coxeter .
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在四維空間幾何學中,正五十七胞體是四維空間的一種自身對偶的,由57個十二面體半形組成
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Harold Scott MacDonald Coxeter
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H. S. M.
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Coxeter
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Perkel graph
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PerkelGraph
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In mathematics, the 57-cell (p ...... scovered by H. S. M. Coxeter .
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在四維空間幾何學中,正五十七胞體是四維空間的一種自身對偶的,由57個十二面體半形組成
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57-cell
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57-ĉelo
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四維正五十七胞體
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