120-cell
noun1
Geometry, Mathematics, Sciences A four-dimensional polytope, analogous to a dodecahedron, whose 120 bounding facets are dodecahedra.
- The triacontagonal projection of the 120-cell was first drawn by W. A. Wythoff, but not in reproducible form.1964, Canadian Mathematical Bulletin, page 394:
- 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.1987, Jeffrey Hurst Butler, Hyperplane sections of regular star polytopes, page 28:
1 more example
- 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°.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:
- Derived terms
- Davis 120-cell, grand 120-cell, grand stellated 120-cell, great 120-cell, great grand 120-cell, great grand stellated 120-cell, great stellated 120-cell, small stellated 120-cell