“Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.”— Benoit Mandelbrot
“That a right line is the shortest of all lines, that are drawn between the same two points, is a theorem, as I think, that is not capable of any demonstration.”— Isaac Barrow
“I hold that in the physical world nothing else takes place but this variation of the curvature of space.”— William Kingdon Clifford
“Geometry is one and eternal, a reflection of the mind of God. That mankind shares in it is because man is an image of God.”— Johannes Kepler
“Geometry has two great treasures; one is the theorem of Pythagoras; the other, the division of a line into extreme and mean ratio. The first we may compare to a measure of gold; the second we may name a precious jewel.”— Johannes Kepler
“The existence of these patterns challenges us to study forms that Euclid leaves aside as being formless, to investigate the morphology of the amorphous.”— Benoit Mandelbrot