The inexhaustible function z squared plus c

Benoit B. Mandelbrot
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Benoit B. Mandelbrot: Yale University, Mathematics Department

Chapter C23 in Fractals and Chaos, 2004, pp 259-267 from Springer

Abstract: Abstract Allow the very elementary transformation, from z to z2 + c to be repeated indefinitely. The process reveals geometric shapes—fractal attractors, fractal repellers and other fractal sets—that astonish by their number, their variety, and their beauty.

Keywords: Complex Number; Elementary Operation; Elementary Transformation; Fractal Curve; Koch Curve (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-1-4757-4017-2_23

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