# Some Properties of a Sphere Useful to Structural Engineers

*This technical note deals with properties of chains of equilateral spherical triangles constructed on the surface of a sphere. The properties discussed in the paper seem not to have been noticed by any one before. The division of a sphere into icosihedral and tetrahedral divisions are shown to be only particular cases of these chains of equilateral spherical triangles. Structural engineers can make use of these properties
to divide spherical and cylindrical surfaces into reasonably small areas with identical arcs (or chords) and hence construct braced domes and vaults with identical members.
K.S. Rangasami and S.M.R. Kaburu
*

Author(s): Rangasami, K S;Kaburu, S M R

Keywords: spheres;properties