Turning a needle and other problems in fractal geometry
Abstract
#The word "fractal" is derived from the Latin word "fractus"="broken", and is used as an adjective to mathematical objects that have fine structure at all levels of magnification. They arise naturally from iteration, for example, of dynamical systems, or of forces of nature. Perhaps due to the prevalence of fractal constructions in healthy nature, humans tend to view fractal objects as beautiful. In this talk I aim to demonstrate what the power of iteration can do for us as humans and as mathematicians, including turning a needle without wasting space, and what meaning it has taken in my own life and career.
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