600-cell
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English[edit]
Noun[edit]
- (geometry) 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.
- 2005, Lawrence B. Crowell, Quantum Fluctuations of Spacetime, volume 25, World Scientific Series in Contemporary Chemical Physics, page 329:
- 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.
- 2012, John Barnes, Gems of Geometry, 2nd edition, page 79:
- 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.
- 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,
Synonyms[edit]
- (4-dimensional polytope): hexacosichoron, hexacosidedroid
Hypernyms[edit]
- (4-dimensional polytope): tetraplex, polytetrahedron
Derived terms[edit]
Translations[edit]
four-dimensional polytope
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