A Group of Spherical Tessellations Having ... - Domeramahttp://www.domerama.com › ClintonEqualEdge
Clinton's Equal Central Angle Conjecture
Since first proposing the conjecture stated herein in a paper to the 5th International Conference on Space
Structures, held at the University of Surrey, Guildford, UK on 19-21 August 2002, it has come to my
attention that Dick Fischbeck Ref 16 has been working on similar problem. He randomly arranges cones
of consistent diameter on the surface of a sphere based on the spherical excess angle of a polyhedron. He
has also proposed a variation where the central angles of the cones may consistently generate random
tetrahedral pyramids that will tessellate the sphere. Perhaps a careful study of his RanDomes will provide
a solution to the Goldberg polyhedra equal central angle problem.
