Saturday, May 22, 2021

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.

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