Graduate Program
Mathematics
Degree Name
Master of Arts (MA)
Semester of Degree Completion
2011
Thesis Director
Patrick Coulton
Thesis Committee Member
Greg Galperin
Thesis Committee Member
Peter Andrews
Abstract
In this thesis we investigate the use of Voronoi cells to estimate a minimum energy configuration on the sphere. We introduce the notion of a Voronoi cell and give examples of its uses in various areas of mathematics. We consider the icosahedral decomposition of the sphere and apply a minimal energy configuration on the planar equilateral triangle to obtain spherical coordinates of a near minimal energy configuration on the sphere.
Recommended Citation
Mensah, Benedictus Sitou, "Near minimum energy distributions on the sphere using Voronoi cells" (2011). Masters Theses. 846.
https://thekeep.eiu.edu/theses/846
