Great grand 120-cell
Orthogonal projection
Type	Schläfli-Hess polychoron
Cells	120 {5,5/2}
Faces	720 {5} Pentagon In geometry, a pentagon is any five-sided polygon. A pentagon may be simple or self-intersecting. The sum of the internal angles in a simple pentagon is 540°. A pentagram is an example of a self-intersecting pentagon.- Regular pentagons :In a regular pentagon, all sides are equal in length and...
Edges	1200
Vertices	120
Vertex figure Vertex figure In geometry a vertex figure is, broadly speaking, the figure exposed when a corner of a polyhedron or polytope is sliced off.-Definitions - theme and variations:...	{5/2,3}
Schläfli symbol	{5,5/2,3}
Coxeter-Dynkin diagram Coxeter-Dynkin diagram In geometry, a Coxeter–Dynkin diagram is a graph with numerically labeled edges representing the spatial relations between a collection of mirrors...
Symmetry group Coxeter group In mathematics, a Coxeter group, named after H.S.M. Coxeter, is an abstract group that admits a formal description in terms of mirror symmetries. Indeed, the finite Coxeter groups are precisely the finite Euclidean reflection groups; the symmetry groups of regular polyhedra are an example...	H4, [3,3,5]
Dual	Great icosahedral 120-cell
Properties

See also

• List of regular polytopes
• Convex regular 4-polytope
  Convex regular 4-polytope
  In mathematics, a convex regular 4-polytope is a 4-dimensional polytope that is both regular and convex. These are the four-dimensional analogs of the Platonic solids and the regular polygons ....
  
   - Set of convex regular polychoron
• Kepler-Poinsot polyhedron - regular star polyhedron
  Star polyhedron
  In geometry, a star polyhedron is a polyhedron which has some repetitive quality of nonconvexity giving it a star-like visual quality.There are two general kinds of star polyhedron:*Polyhedra which self-intersect in a repetitive way....
  
  
• Star polygon - regular star polygons

External links

• Regular polychora
• Discussion on names
• Reguläre Polytope
• The Regular Star Polychora