Grand 120-cell
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In geometry, the grand 120-cell or grand polydodecahedron is a regular star 4-polytope with Schläfli symbol {5,3,5/2}. It is one of 10 regular Schläfli-Hess polytopes.
Grand 120-cell | |
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Orthogonal projection | |
Type | Schläfli-Hess polytope |
Cells | 120 {5,3} |
Faces | 720 {5} |
Edges | 720 |
Vertices | 120 |
Vertex figure | {3,5/2} |
Schläfli symbol | {5,3,5/2} |
Coxeter-Dynkin diagram | |
Symmetry group | H4, [3,3,5] |
Dual | Great stellated 120-cell |
Properties | Regular |
It is one of four regular star 4-polytopes discovered by Ludwig Schläfli. It is named by John Horton Conway, extending the naming system by Arthur Cayley for the Kepler-Poinsot solids.