Great 120-cell


In geometry, the great 120-cell or great polydodecahedron is a regular star 4-polytope with Schläfli symbol. It is one of 10 regular Schläfli-Hess polytopes. It is one of the two such polytopes that is self-dual.

Related polytopes

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



H3A2 / B3 / D4A3 / B2




Due to its self-duality, it does not have a good three-dimensional analogue, but is analogous to the two-dimensional pentagram. With itself, it can form the compound of two great 120-cells.