English

The 825 Smallest Right-Angled Hyperbolic Polyhedra

Geometric Topology 2015-12-08 v1 Metric Geometry

Abstract

An algorithm for determining the list of smallest volume right-angled hyperbolic polyhedra in dimension 3 is described. This algorithm has been implemented on computer using the program Orb to compute volumes, and the first 825 polyhedra in the list have been determined.

Cite

@article{arxiv.1512.01761,
  title  = {The 825 Smallest Right-Angled Hyperbolic Polyhedra},
  author = {Taiyo Inoue},
  journal= {arXiv preprint arXiv:1512.01761},
  year   = {2015}
}

Comments

27 pages. Lots of figures. The programs used here are free and available on either the Internet or by request (taiyoinoue@gmail.com)

R2 v1 2026-06-22T12:02:29.099Z