| bgcolor=#e7dcc3 colspan=2 | Grand stellated 120-cell | |
|---|---|---|
| bgcolor=#ffffff align=center colspan=2 | Orthogonal projection | |
| Type | Schläfli-Hess polytope | |
| Cells | 120 | |
| Faces | 720 | |
| Edges | 720 | |
| Vertices | 120 | |
| Vertex figure | ||
| Schläfli symbol | ||
| Coxeter-Dynkin diagram | ||
| Symmetry group | H4, [3,3,5] | |
| Dual | self-dual | |
| Properties | Regular |
In geometry, the grand stellated 120-cell or grand stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol . It is one of 10 regular Schläfli-Hess polytopes.It is also one of two such polytopes that is self-dual.
It has the same edge arrangement as the grand 600-cell, icosahedral 120-cell, and the same face arrangement as the great stellated 120-cell.
Due to its self-duality, it does not have a good three-dimensional analogue, but (like all other star polyhedra and polychora) is analogous to the two-dimensional pentagram.