The first test of potential in mathematics is whether you…

I constantly meet people who are doubtful, generally without due reason, about their potential capacity [as mathematicians]. The first test is whether you got…

— John Edensor Littlewood

The problem, of course, was that turning into a monster was the brighter of my two choices. Choice Number 1: I turn into a…

— Anonymous

While fractal geometry is often used in high-tech science, its patterns are surprisingly common in traditional African designs.

— Ron Eglash

In order to give meaning to the world, one has to feel oneself involved in what he frames. This attitude requires concentration, a discipline…

— Henri Cartier-Bresson

I have an infamously low capacity for visualizing relationships, which made the study of geometry and all subjects derived from it impossible for me.

— Sigmund Freud

“A circle has no end.”

— Isaac Asimov

Let no-one ignorant of geometry enter. Said to have been inscribed above the door of Plato's Academy.

— Plato

“This relationship, often called the Golden mean, has been discovered and rediscovered at various times in history as a unique proportion believed to have…

— John Pile

Cryptography has generated number theory, algebraic geometry over finite fields, algebra, combinatorics and computers.

— Vladimir Arnold

No one fully understands spinors. Their algebra is formally understood but their general significance is mysterious. In some sense they describe the 'square root'…

— Michael Atiyah

Geometry is the most complete science.

— David Hilbert

Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities,…

— Benoit Mandelbrot

Geometry existed before creation.

— Plato

. . . by natural selection our mind has adapted itself to the conditions of the external world. It has adopted the geometry most…

— Henri Poincare

Geometry, which should only obey Physics, when united with it sometimes commands it. If it happens that the question which we wish to examine…

— Jean le Rond d'Alembert