“Benoit Mandelbrot can be considered the Euclid of fractal geometry. He has collected the observations of mathematicians concerned with "monsters," or objects not definable by euclidean geometry. By combining the work of these mathematicians with his own insight, he has created a geometry of nature that thrives on asymmetry and roughness. Mandelbrot has said that "mountains are not cones, and clouds are not spheres.”
― Chaos and Order in the Capital Markets: A New View of Cycles, Prices, and Market Volatility
― Chaos and Order in the Capital Markets: A New View of Cycles, Prices, and Market Volatility
“I believe that scientific knowledge has fractal properties, that no matter how much we learn, whatever is left, however small it may seem, is just as infinitely complex as the whole was to start with. That, I think, is the secret of the Universe.”
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“Why is geometry often described as ""cold" and ""dry?" One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline, or a tree. Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.”
― The Fractal Geometry of Nature
― The Fractal Geometry of Nature
“A man is known by his heroes.”
― The Fractalist: Memoir of a Scientific Maverick
― The Fractalist: Memoir of a Scientific Maverick
Stacey’s 2025 Year in Books
Take a look at Stacey’s Year in Books, including some fun facts about their reading.
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