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| Great icosahedral 120-cell | |
|---|---|
 Orthogonal projection | |
| Type | Schläfli-Hess polytope |
| Cells | 120 {3,5/2} |
| Faces | 1200 {3} |
| Edges | 720 |
| Vertices | 120 |
| Vertex figure | {5/2,5} |
| Schläfli symbol | {3,5/2,5} |
| Coxeter-Dynkin diagram |       |
| Symmetry group | H4, [3,3,5] |
| Dual | Great grand 120-cell |
| Properties | Regular |
In geometry, the great icosahedral 120-cell, great polyicosahedron or great faceted 600-cell is a regular star 4-polytope with Schläfli symbol {3,5/2,5}. It is one of 10 regular Schläfli-Hess polytopes.
Related polytopes
[edit]It has the same edge arrangement as the great stellated 120-cell, and grand stellated 120-cell, and face arrangement of the grand 600-cell.
| H3 | A2 / B3 / D4 | A3 / B2 |
|---|---|---|
 |  |  |
See also
[edit]- List of regular polytopes
- Convex regular 4-polytope
- Kepler-Poinsot solids - regular star polyhedron
- Star polygon - regular star polygons
References
[edit]- 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-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) x3o5/2o5o - gofix".
External links
[edit]- Regular polychora Archived 2003-09-06 at the Wayback Machine
- Discussion on names
- Reguläre Polytope
- The Regular Star Polychora
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