A new class of infinite sphere packings

David W. Boyd

Vol. 50 (1974), No. 2, 383–398

DOI: 10.2140/pjm.1974.50.383

Abstract

The packings considered in this paper are packings of a unit sphere in N-dimensional Euclidean space by an infinite number of unequal spheres. More specifically, we are interested in complete packings, those which exhaust the volume of the packed sphere.

Mathematical Subject Classification

Primary: 52A45

Milestones

Received: 27 October 1972

Published: 1 February 1974