Great grand 120-cell
In geometry, the great grand 120-cell or great grand polydodecahedron is a regular star 4-polytope with Schläfli symbol {5,5/2,3}. It is one of 10 regular Schläfli-Hess polytopes.
Related polytopes
It has the same edge arrangement as the small stellated 120-cell.
See also
- List of regular polytopes
- Convex regular 4-polytope
- Kepler-Poinsot polyhedron - regular star polyhedron
- Star polygon - regular star polygons
External links
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 .
- 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)
- Richard Klitzing, 4D uniform polytopes (polychora), o3o5/2o5x - gaghi
|
|---|
| | Convex |
|---|
| | 5-cell | 8-cell | 16-cell | 24-cell | 120-cell | 600-cell | |
- {3,3,3}
- pentachoron
- 4-simplex
| |
- {3,3,4}
- hexadecachoron
- 4-orthoplex
|
- {3,4,3}
- icositetrachoron
- octaplex
|
- {5,3,3}
- hecatonicosachoron
- dodecaplex
|
- {3,3,5}
- hexacosichoron
- tetraplex
|
|
|
| | | Star |
|---|
| icosahedral
120-cell | small
stellated
120-cell | great
120-cell | grand
120-cell | great
stellated
120-cell | grand
stellated
120-cell | great grand
120-cell | great
icosahedral
120-cell | grand
600-cell | great grand
stellated 120-cell | | |
- {5/2,5,3}
- stellated dodecaplex
|
- {5,5/2,5}
- great dodecaplex
|
- {5,3,5/2}
- grand dodecaplex
|
- {5/2,3,5}
- great stellated dodecaplex
|
- {5/2,5,5/2}
- grand stellated dodecaplex
|
- {5,5/2,3}
- great grand dodecaplex
|
- {3,5/2,5}
- great icosaplex
|
- {3,3,5/2}
- grand tetraplex
|
- {5/2,3,3}
- great grand stellated dodecaplex
|
|
|
|
|
