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Partitioning a Sphere

MoeSzyslak
12-Amethyst

Partitioning a Sphere

All -- I typically post over at the Collaboratory, but it's down -- not for good, I hope? At any rate, this isn't exactly a Mathcad question, but I do intend to use Mathcad for the calculations if I can figure the geometry out. I am interested in partitioning a unit sphere into similarly-sized curvilinear regions as shown in the attached figure. Anybody have any ideas? I note that recent work by Paul Leopardi (http://tinyurl.com/mttg32, PDF) has resulted in a MATLAB script (http://eqsp.sourceforge.net/) that can partition the sphere into N regions of exactly the same size, but the circular regions at the poles cause problems in my specific application. Thanks in advance. Matt
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