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Chapter1An Invitation to Geometry

How can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to the objects of reality?

―Albert Einstein

Out of nothing I have created a strange new universe.

―János Bolyai

Sometimes I think we're alone in the universe, and sometimes I think we're not. In either case, the idea is quite staggering.

―Arthur C. Clarke