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Definition 2024
120-cell
120-cell
English
Noun
- (geometry) A four-dimensional polytope, analogous to a dodecahedron, whose one hundred and twenty 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, 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, 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°.
- 1964, Canadian Mathematical Bulletin, page 394,
Synonyms
- (four-dimensional polytope): dodecacontachoron, dodecaplex, hecatonicosachoron, hecatonicosahedroid, hyperdodecahedron, polydodecahedron
Derived terms
- Davis 120-cell (4-dimensional manifold in hyperbolic geometry constructed from a hyperbolic 120-cell),
- grand 120-cell
- grand stellated 120-cell
- great 120-cell
- great stellated 120-cell
- great grand 120-cell
- great grand stellated 120-cell
- small stellated 120-cell
Translations
four-dimensional polytope
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