Edge has just
published a talk with Benoit Mandelbrot. Approaching 80, he sums up how he sees his life's work.
A recent, important turn in my life occurred when I realized that something that I have long been stating in footnotes should be put on the marquee. I have engaged myself, without realizing it, in undertaking a theory of roughness.
In the preceding quotation, he is saying that understanding roughness provides the unifying framework of his life's work and that fractals are, in effect, a theory of roughness.
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