I came to the ... open gate of mathematics. From here, well-trodden paths lead in every direction, and since then I have often spent time there. Sometimes I think ... I have trodden all the paths ... and then I suddenly discover a new path and experience fresh delights.

There is something breathtaking about the basic laws of crystals. They are in no sense a discovery of the human mind; they just "are" - they exist quite independently of us. The most that man can do is become aware, in a moment of clarity, that they are there, and take cognizance of them.

I never got a pass mark in math... Just imagine - mathematicians now use my prints to illustrate their books. Funny me consorting with all these learned folks, as though I were their long lost brother. I guess they are unaware of the fact that I am ignorant about the whole thing.

The regular division of the plane into congruent figures evoking an association in the observer with a familiar natural object is one of these hobbies or problems...I have embarked on this geometric problem again and again over the years, trying to throw light on different aspects each time. I cannot imagine what my life would be like if this problem had never occurred to me; one might say that I am head over heels in love with it, and I still don't know why.

At moments of great enthusiasm it seems to me that no one in the world has ever made something this beautiful and important.

We adore chaos because we love to produce order.

I might be in the basement. I'll go upstairs and check. We adore chaos because we love to produce order. I don't use drugs; my dreams are frightening enough.