Dictionary

600-cell en · NOUN

Meanings

1. A four-dimensional polytope, analogous to an icosahedron, whose 600 bounding facets are tetrahedra.
   • 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:
   • 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 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:

Forms

Deriveds

grand 600-cell

Hypernyms

tetraplex (4-dimensional polytope) · polytetrahedron (4-dimensional polytope)

Synonyms

hexacosidedroid (4-dimensional polytope) · hexacosichoron (4-dimensional polytope)

Translations (7)

ko 정육백포체 (four-dimensional polytope) · eo sescentĉelo (four-dimensional polytope) · it esacosicoro (four-dimensional polytope) · it 600-cella (four-dimensional polytope) · es hexacosicoron (four-dimensional polytope) · ja 正六百胞体 (four-dimensional polytope) · it tetraplesso (four-dimensional polytope)