Great icosahedral 120-cell
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| Great icosahedral 120-cell | |
|---|---|
| File:Ortho solid 014-uniform polychoron 3p5-t0.png 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 | Template:CDD |
| 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
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 |
|---|---|---|
| File:Schläfli-Hess polychoron-wireframe-4.png | File:Grand 600-cell-ortho-6gon.png | File:Grand 600-cell-ortho-4gon.png |
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. Template:ISBN.
- John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, Template:ISBN (Chapter 26, Regular Star-polytopes, pp. 404–408)
- Template:KlitzingPolytopes
External links
- Regular polychora Template:Webarchive
- Discussion on names
- Reguläre Polytope
- The Regular Star Polychora
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