Volume 25, pp. 309-327, 2006.

A partition of the unit sphere into regions of equal area and small diameter

Paul Leopardi

Abstract

The recursive zonal equal area sphere partitioning algorithm is a practical algorithm for partitioning higher dimensional spheres into regions of equal area and small diameter. This paper describes the partition algorithm and its implementation in Matlab, provides numerical results and gives a sketch of the proof of the bounds on the diameter of regions. A companion paper gives details of the proof.

Full Text (PDF) [1.7 MB]

Key words

sphere, partition, area, diameter, zone

AMS subject classifications

11K38, 31-04, 51M15, 52C99, 74G65

ETNA articles which cite this article

Vol. 35 (2009), pp. 1-16 Paul Leopardi: Diameter bounds for equal area partitions of the unit sphere

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