Great grand 120-cellOrthogonal projectionTypeSchläfli-Hess polytopeCells120 {5,5/2} Faces720 {5} Edges1200Vertices120Vertex figure{5/2,3} Schläfli symbol {5,5/2,3}Coxeter-Dynkin diagramSymmetry groupH4, [3,3,5]Dual Great icosahedral 120-cellProperties Regular In geometry, the great grand 120-cell or great grand polydodecahedron is a regular star 4-polytope with Schläfli symbol {5,5/2,3}. It is one of 10 regular Schläfli-Hess polytopes.
Related polytopes
It has the same edge arrangement as the small stellated 120-cell.
+ Orthographic projections by Coxeter planesH3A2 / B3 / D4A3 / B2
See also List of regular polytopes Convex regular 4-polytope Kepler-Poinsot polyhedron – regular star polyhedron Star polygon – regular star polygons
References Edmund Hess, (1883) Einleitung in die Lehre von der Kugelteilung mit besonderer Berücksichtigung ihrer Anwendung auf die Theorie der Gleichflächigen und der gleicheckigen Polyeder . H. S. M. Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. . John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, (Chapter 26, Regular Star-polytopes, pp. 404–408)
External links Regular polychora Discussion on names Reguläre Polytope The Regular Star Polychora