120-cell
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English
[edit]![](https://upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Schlegel_wireframe_120-cell.png/220px-Schlegel_wireframe_120-cell.png)
Noun
[edit]- (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°.
Synonyms
[edit]- (four-dimensional polytope): dodecacontachoron, dodecaplex, hecatonicosachoron, hecatonicosahedroid, hyperdodecahedron, polydodecahedron
Derived terms
[edit]- 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
[edit]four-dimensional polytope
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