What distinguishes fractal geometry within mathematics is an exceptional and uncanny characteristic. Its first steps are not tedious, hard, and unrewarding, but playful and extraordinarily easy, and provide rich reward in terms of stunning graphics. To the mathematician, they bring a bounty of very difficult conjectures that no one can solve. To the artist, they provide backbones around which imagination can play at will. To everyone, a few steps in about any direction bring extraordinary pleasure. Nothing is more serious than play. Let’s all play.—Benoit Mandelbrot

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