Great grand 120-cell
In this article we will explore the impact that Great grand 120-cell has had on different aspects of modern society. Since its emergence, Great grand 120-cell has generated great debate and generated significant changes in various areas, from politics to technology, including culture and interpersonal relationships. Throughout these pages, we will analyze how Great grand 120-cell has transformed the way we interact, think and relate to the world around us. Additionally, we will examine its influence in the professional sphere and how it has affected the way companies operate and communicate with their customers. Through this analysis, we aim to shed light on the importance and scope of Great grand 120-cell in contemporary society.
| Great grand 120-cell | |
|---|---|
 Orthogonal projection | |
| Type | Schläfli-Hess polytope |
| Cells | 120 {5,5/2} |
| Faces | 720 {5} |
| Edges | 1200 |
| Vertices | 120 |
| Vertex figure | {5/2,3} |
| Schläfli symbol | {5,5/2,3} |
| Coxeter-Dynkin diagram |      
|
| Symmetry group | H4, |
| Dual | Great icosahedral 120-cell |
| Properties | Regular |
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.
| H3 | A2 / B3 / D4 | A3 / B2 |
|---|---|---|
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See also
- List of regular polytopes
- Convex regular 4-polytope
- Kepler-Poinsot polyhedron – 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 .
- H. S. M. Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. ISBN 0-486-61480-8.
- John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, 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) o3o5/2o5x - gaghi".
External links
- Regular polychora Archived 2003-09-06 at the Wayback Machine
- Discussion on names
- Reguläre Polytope
- The Regular Star Polychora
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