H.S.M. Coxeter. 1907-2003. The twentieth
century's preeminent classical geometer and mathematician of polyhedra
"Iím a Platonist - a follower of Plato - who
believes that one didnít invent these sorts of things, that one
discovers them. In a sense, all these mathematical facts are right there
waiting to be discovered."
"In our times, geometers are still
exploring those new Wonderlands, partly for the sake of their
applications to cosmology and other branches of science, but much more
for the sheer joy of passing through the looking glass into a land where
the familiar lines, planes, triangles, circles and spheres are seen to
behave in strange but precisely determined ways."
"Geometry is perhaps the most elementary of the sciences that enable man, by purely intellectual processes, to make predictions (based on observation) about physical world. The power of geometry, in the sense of accuracy and utility of these deductions, is impressive, and has been a powerful motivation for the study of logic in geometry."