Grand stellated 120-cell | |
---|---|
Orthogonal projection | |
Type | Schläfli-Hess polytope |
Cells | 120 {5/2,5} |
Faces | 720 {5/2} |
Edges | 720 |
Vertices | 120 |
Vertex figure | {5,5/2} |
Schläfli symbol | {5/2,5,5/2} |
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 {5/2,5,5/2}. 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.
H3 | A2 / B3 / D4 | A3 / B2 |
---|---|---|
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.