Great grand stellated 120-cell

Great grand stellated 120-cell
Orthogonal projection
Type	Schläfli-Hess polychoron
Cells	120 {5/2,3}
Faces	720 {5/2}
Edges	1200
Vertices	600
Vertex figure	{3,3}
Schläfli symbol	{5/2,3,3}
Coxeter-Dynkin diagram
Symmetry group	H4, [3,3,5]
Dual	Grand 600-cell
Properties	Regular

In geometry, the great grand stellated 120-cell or great grand stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol {5/2,3,3}, one of 10 regular Schläfli-Hess 4-polytopes. It is unique among the 10 for having 600 vertices, and has the same vertex arrangement as the regular convex 120-cell.

It is one of four regular star polychora discovered by Ludwig Schläfli. It is named by John Horton Conway, extending the naming system by Arthur Cayley for the Kepler-Poinsot solids, and the only one containing all three modifiers in the name.