Great 120-cell | |
---|---|
Orthogonal projection | |
Type | Schläfli-Hess polytope |
Cells | 120 {5,5/2} |
Faces | 720 {5} |
Edges | 720 |
Vertices | 120 |
Vertex figure | {5/2,5} |
Schläfli symbol | {5,5/2,5} |
Coxeter-Dynkin diagram | |
Symmetry group | H4, [3,3,5] |
Dual | self-dual |
Properties | Regular |
In geometry, the great 120-cell or great polydodecahedron is a regular star 4-polytope with Schläfli symbol {5,5/2,5}. It is one of 10 regular Schläfli-Hess polytopes. It is one of the two such polytopes that is self-dual.
It has the same edge arrangement as the 600-cell, icosahedral 120-cell as well as the same face arrangement as the grand 120-cell.
H4 | - | F4 |
---|---|---|
[30] |
[20] |
[12] |
H3 | A2 / B3 / D4 | A3 / B2 |
[10] |
[6] |
[4] |
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.
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