The theorem thus implies existence of the total of 18 equilateral triangles. As I mentioned on another occasion , these are often designated as Morley triangles . The fact is however that Morley has discovered 27 equilateral triangles which is clearly not reflected in the current nomenclature. The volume addresses various aspects of the evolution of the relationship between mathematics and physics. Most of the papers are historical surveys with emphasis on the last few decades.
Symmetry groups are of course only one element in the multifaceted relationship.
Topology, cohomology, Lie algebras, knot theory have all become valuable items in the physicist' tool chest. More than that, with the emergence of the superstring theory, a theory that holds a promise of becoming a TOE - a Theory Of Everything, the attitude of physicist towards mathematics underwent a definite metamorphosis. Let us invent tools that suit our problems rather than problems that suit our tools. Yuval Ne'eman of Tel-Aviv University, Israel makes a reference to the Erlangen Program announced by Felix Klein in 1872. Klein suggested to classify different geometries by means of groups of symmetries - transformations that leave invariant essential properties of geometric figures.