Grand stellated 120-cell
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.Related polytopes
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 is analogous to the two-dimensional pentagram. With itself, it can form the compound of two grand stellated 120-cells.
