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A Schlegel diagram of a 120-cell
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120-cell (plural 120-cells)

  1. (geometry) A four-dimensional polytope, analogous to a dodecahedron, whose 120 bounding facets are dodecahedra.
    • 1964, Canadian Mathematical Bulletin, page 394:
      The triacontagonal projection of the 120-cell was first drawn by W. A. Wythoff, but not in reproducible form.
    • 1987, Jeffrey Hurst Butler, Hyperplane sections of regular star polytopes[1], page 28:
      In dimension four there are ten star polytopes which together with the 120-cell and 600-cell form the family of pentagonal polytopes (those regular 4-polytopes possessing axes of fivefold symmetry); all twelve have the same symmetry group.
    • 2006, John G. Radcliffe, “The Geometry of Hyperbolic Manifolds of Dimension a least 4”, in András Prékopa, Emil Molnár, editors, Non-Euclidean Geometries: János Bolyai Memorial Volume, page 270:
      In 1985, M. Davis [3] gave the first explicit geometric construction of a closed hyperbolic 4-manifold by gluing together the opposite sides of a regular hyperbolic 120-cell P with dihedral angle 72°.


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