Diameter bounds for equal area partitions of the unit sphere
Paul Charles Leopardi · ANU Open Research (Australian National University) · 2009
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.