Great stellated 120-cellOrthogonal projectionTypeSchläfli-Hess polytopeCells120 {5/2,3} Faces720 {5/2} Edges720Vertices120Vertex figure{3,5} Schläfli symbol {5/2,3,5}Coxeter-Dynkin diagramSymmetry groupH4, [3,3,5]Dual Grand 120-cellProperties Regular In geometry, the great stellated 120-cell or great stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol {5/2,3,5}. It is one of 10 regular Schläfli-Hess polytopes.
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.
Related polytopes
The great stellated 120-cell has the same edge arrangement as the great icosahedral 120-cell and grand 600-cell, and the same face arrangement as the grand stellated 120-cell.
+ Orthographic projections by Coxeter planesH3A2 / B3 / D4A3 / B2
See also List of regular polytopes Convex regular 4-polytope Kepler-Poinsot solids - 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 Paper model of 3D cross-section of Great Stellated 120-cell created using nets generated by Stella4D software