A hyperbolic $4$-manifold
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- by Michael W. Davis PDF
- Proc. Amer. Math. Soc. 93 (1985), 325-328 Request permission
Abstract:
There is a regular $4$-dimensional polyhedron with 120 dodecahedra as $3$-dimensional faces. (Coxeter calls it the "$120$-cell".) The group of symmetries of this polyhedron is the Coxeter group with diagram: \[ [unk]\] For each pair of opposite $3$-dimensional faces of this polyhedron there is a unique reflection in its symmetry group which interchanges them. The result of identifying opposite faces by these reflections is a hyperbolic manifold ${M^4}$.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 325-328
- MSC: Primary 57N13; Secondary 51M10, 52A25
- DOI: https://doi.org/10.1090/S0002-9939-1985-0770546-7
- MathSciNet review: 770546