## Experimental Mathematics

### The volume spectrum of hyperbolic 4-manifolds

#### Abstract

We construct complete, open, hyperbolic 4-manifolds of smallest volume by gluing together the sides of a regular ideal 24-cell in hyperbolic 4-space. We also show that the volume spectrum of hyperbolic 4-manifolds is the set of all positive integral multiples of $4\pi^2/3$.

#### Article information

Source
Experiment. Math., Volume 9, Issue 1 (2000), 101-125.

Dates
First available in Project Euclid: 5 March 2003