600-cell

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English[edit]

A vertex-centred Schlegel diagram of a 600-cell
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Noun[edit]

600-cell ‎(plural 600-cells)

  1. (geometry) A four-dimensional polytope, analogous to an icosahedron, whose six hundred 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, World Scientific Series in Contemporary Chemical Physics, Volume 25, 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.

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