When I published Geometry, Language and Strategy, (2006, World Scientific), I based the logo on a computation of the geodesics on an oblate spheroid. The problems associated with finding the geodesics on such a surface have a lot in common with the problems of finding the shortest paths in physics and for decision process theory. In this white paper I provide two articles that provide in-depth coverage of those problems.
First, I provide a general discussion of the geometry on an oblate spheroid, which can be found below. Second, I provide a CDF notebook so that you can experiment with different parameter values and different geometries.