Geodesic
Diameter bounds for equal area partitions of the unit sphere
Electronic transactions on numerical analysis, Tome 35 (2009), pp. 1-16
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 
@article{ETNA_2009__35__a15,
     author = {Leopardi,  Paul},
     title = {Diameter bounds for equal area partitions of the unit sphere},
     journal = {Electronic transactions on numerical analysis},
     pages = {1--16},
     year = {2009},
     volume = {35},
     zbl = {1276.51008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2009__35__a15/}
}
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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/