600-cell
noun1
Geometry, Mathematics, Sciences A four-dimensional polytope, analogous to an icosahedron, whose 600 bounding facets are tetrahedra.
- 1995, J. Bokowski, On the Construction of Equifacetted 3-Spheres, Neil L. White, Invariant Methods in Discrete and Computational Geometry: Proceedings of the Curaçao Conference, page 303, P. McMullen has pointed out to the author that he has constructed an interesting equifacetted 3-sphere in his Ph.D.Thesis by starting with the 600-cell.
- The dual to the 120-cell is the 600-cell. The 600-cell is a 4-dimensional convex regular polytope with 600 facets. Its Schläfli symbol of the^([sic]) 600-cell is {3, 3, 5}. It is a 4-dimensional analogue of the icosahedron, constructed by the golden ratio on the edges of an octohedron.2005, Lawrence B. Crowell, Quantum Fluctuations of Spacetime, volume 25, World Scientific Series in Contemporary Chemical Physics, page 329:
1 more example
- The other two figures are the 120-cell and 600-cell which form a dual pair as is clear from their Schläfli symbols being the reverse of each other.2012, John Barnes, Gems of Geometry, 2nd edition, page 79:
- Synonyms
- hexacosichoron, hexacosidedroid
- Derived terms
- grand 600-cell
- Hypernyms
- tetraplex, polytetrahedron