600-cell

English

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A vertex-centred Schlegel diagram of a 600-cell

Noun

600-cell (plural 600-cells)Category:English lemmas#600CELLCategory:English nouns#600CELLCategory:English countable nouns#600CELLCategory:English multiword terms#600CELLCategory:English terms spelled with numbers#600CELLCategory:English entries with incorrect language header#600CELLCategory:Pages with entries#600-CELLCategory:Pages with 1 entry#600-CELL

  1. (geometryCategory:en:Geometry#600CELL) A four-dimensional polytope, analogous to an icosahedron, whose 600 bounding facets are tetrahedra. Category:en:Higher-dimensional geometry#600CELL
    • 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.
      Category:English terms with quotations#600CELL
      Category:Quotation templates to be cleaned
    • 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.
      Category:English terms with quotations#600CELL

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Category:en:Mathematics#600CELLCategory:en:Shapes#600CELL
Category:English countable nouns Category:English lemmas Category:English multiword terms Category:English nouns Category:English terms spelled with numbers Category:English terms with quotations Category:Entries with translation boxes Category:Pages with 1 entry Category:Pages with entries Category:Quotation templates to be cleaned Category:Terms with Esperanto translations Category:Terms with Italian translations Category:Terms with Japanese translations Category:Terms with Korean translations Category:Terms with Spanish translations Category:en:Geometry Category:en:Higher-dimensional geometry Category:en:Mathematics Category:en:Shapes