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Quote by Benoit Mandelbrot

“Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities, but some shapes in nature are so complicated that they are equally complicated at the big scale and come closer and closer and they don't become any less complicated.”

Quote by Benoit Mandelbrot

Author

Benoit Mandelbrot

Benoit Mandelbrot, born on November 20, 1924, and died on October 14, 2010, was a renowned mathematician. He made groundbreaking contributions to fractal geometry, proposing the theory of fractals, which has been widely applied in various fields such as physics, biology, and economics. more

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“If you look at a shape like a straight line, what's remarkable is that if you look at a straight line from close by, from far away, it is the same; it is a straight line.”

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“The straight line has a property of self-similarity. Each piece of the straight line is the same as the whole line when used to a big or small extent.”

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“Self-similarity is a dull subject because you are used to very familiar shapes. But that is not the case. Now many shapes which are self-similar again, the same seen from close by and far away, and which are far from being straight or plane or solid.”

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“If you look at coastlines, if you look at that them from far away, from an airplane, well, you don't see details, you see a certain complication. When you come closer, the complication becomes more local, but again continues. And come closer and closer and closer, the coastline becomes longer and longer and longer because it has more detail entering in.”

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“Continuing a Lenten series on prayer: Prayer is co-operation with God. It is the purest exercise of the faculties God has given us - an exercise that links these faculties with the Maker to work out the intentions He had in mind in their creation.”

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“I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.”

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“Everybody in mathematics had given up for 100 years or 200 years the idea that you could from pictures, from looking at pictures, find new ideas. That was the case long ago in the Middle Ages, in the Renaissance, in later periods, but then mathematicians had become very abstract.”

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“Some mathematicians didn't even perceive of the possibility of a picture being helpful. To the contrary, I went into an orgy of looking at pictures by the hundreds; the machines became a little bit better.”

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