A hyperbolic 4-manifold

Davis, Michael W.

doi:10.1090/S0002-9939-1985-0770546-7

A hyperbolic $4$-manifold
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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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Hyperbolic manifolds from regular polyhedra

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