In geometry, the great stellated  120-cell or great stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol {5/2,3,5}. It is one of 10 regular Schläfli-Hess polytopes.
It is one of four regular star 4-polytopes discovered by Ludwig Schläfli. It is named by John Horton Conway, extending the naming system by Arthur Cayley for the Kepler-Poinsot solids.


== Related polytopes ==
It has the same edge arrangement as the grand 600-cell, icosahedral 120-cell, and the same face arrangement as the grand stellated 120-cell.

With its dual, it forms the compound of grand 120-cell and great stellated 120-cell.


== See also ==
List of regular polytopes
Convex regular 4-polytope
Kepler-Poinsot solids - regular star polyhedron
Star polygon - regular star polygons


== References ==
Edmund Hess, (1883) Einleitung in die Lehre von der Kugelteilung mit besonderer Berücksichtigung ihrer Anwendung auf die Theorie der Gleichflächigen und der gleicheckigen Polyeder [1].
H. S. M. Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. ISBN 0-486-61480-8.
John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, ISBN 978-1-56881-220-5 (Chapter 26, Regular Star-polytopes, pp. 404–408)
Klitzing, Richard. "4D uniform polytopes (polychora) o5o3o5/2x - gishi".


== External links ==
Regular polychora
Discussion on names
Reguläre Polytope
The Regular Star Polychora
Paper model of 3D cross-section of Great Stellated 120-cell created using nets generated by Stella4D software