Mark P. Kumler, Ph.D.
David A. Burrows, M.A.
Using polyhedral approximations of the globe for the purpose of creating map projections is not a new concept. The implementation of regular and semi-regular polyhedra has been a popular method for reducing distortion. However, regular and semi-regular polyhedra provide limited control over the placement of the projective centers. This paper presents a method for using irregular polyhedra to gain more control over the placement of the projective centers while maintaining the reduced distortion quality found in polyhedral projections. The method presented here uses irregular polyhedra based on gnomonically projected Voronoi partitions of the sphere.
McCall, N. D. (2006). A New World Map on an Irregular Heptahedron (Master's thesis, University of Redlands). Retrieved from http://inspire.redlands.edu/gis_gradproj/109