Geodesic
Diameter bounds for equal area partitions of the unit sphere
Electronic transactions on numerical analysis, Tome 35 (2009), pp. 1-16.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The recursive zonal equal area (EQ) sphere partitioning algorithm is a practical algorithm for partitioning higher dimensional spheres into regions of equal area and small diameter. Another such construction is due to Feige and Schechtman. This paper gives a proof for the bounds on the diameter of regions for each of these partitions.
Classification : 11K38, 31-04, 51M15, 52C99, 74G65
Keywords: sphere, partition, area, diameter, zone 
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     author = {Leopardi, Paul},
     title = {Diameter bounds for equal area partitions of the unit sphere},
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Leopardi, Paul. Diameter bounds for equal area partitions of the unit sphere. Electronic transactions on numerical analysis, Tome 35 (2009), pp. 1-16. http://geodesic.mathdoc.fr/item/ETNA_2009__35__a15/