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.

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.

Orthographic projections by Coxeter planes

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.