Richard Buckminster Fuller's division of the sphere by the great circles formed from the icosahedron's 31 axes of symmetry: the set of six axes passing through diametrically opposing vertices; the set of ten axes passing through diametrically opposing faces; and the set of 15 axes passing through diametrically opposed edges. The set of 15 divides the spherical surface into the 120 Basic Disequilibrium LCD Triangles, the lowest common denominator of the sphere's surface.
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