Feet Quote by Henri Poincare

“... I left Caen, where I was living, to go on a geological excursion under the auspices of the School of Mines. The incidents…

— Henri Poincaré

And we [The Futurist artists] must invent dynamic designs to go with them and express them in equally dynamic shapes: triangles, cones, spirals, ellipses,…

— Giacomo Balla

I conceived, developed and applied in many areas a new geometry of nature, which finds order in chaotic shapes and processes. It grew without…

— Benoit Mandelbrot

We find in the history of ideas mutations which do not seem to correspond to any obvious need, and at first sight appear as…

— Arthur Koestler

In particular, I am interested in understanding hyperbolic surfaces.

— Maryam Mirzakhani

The once-surprising existence of non-Euclidean models of Euclid's first four axioms can be seen as a sort of mathematical joke.

— John Allen Paulos

I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the…

— Benoit Mandelbrot

“The question: 'is the Euclidean geometry true?' has no significance for Poincaré, for these is no such thing as one geometry being more true…

— Fulton J. Sheen

We are only geometricians of matter; the Greeks were, first of all, geometricians in the apprenticeship to virtue.

— Simone Weil

The ludicrous state of solid geometry made me pass over this branch.

— Plato

I can't keep from fooling around with our irrefutable certainties. It is, for example, a pleasure knowingly to mix up two and three dimensionalities,…

— M. C. Escher

Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.

— Benoit Mandelbrot