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— Johannes Kepler"Where there is matter, there is geometry."
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One way to think about a pure hyperbolic surface is that it's the geometric opposite of a sphere. If you look at a sphere, the curvature is the same everywhere, as opposed to, say, an egg, which clearly does not curve the same everywhere. This is what makes spheres geometrically important. Mathematically speaking, a sphere has positive curvature and a hyperbolic surface has negative curvature, but both have constant curvature everywhere.
— Margaret Wertheim
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Geometry will draw the soul toward truth and create the spirit of philosophy.
— Plato
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