Today's post marks the passing of Benoit Mandelbrot, father of fractal geometry. As a tribute to Benoit Mandelbrot's contribution to the field of fractal geometry today's fractal image is of the default original Mandelbrot set. The plotting does not use the usual inside and outside mappings but rather uses the distance estimator method with a two color map. This plotting method was chosen because I find it enhances the demonstration of the complexity of the basic Mandelbrot set. According to the Fractint manual "The distance estimator method widens very thin "strands" which are part of the "inside" of the set. Instead of hiding invisibly between pixels, these strands are made one pixel wide." At the usual http://maxitersfractalfollies.blogspot.com. Benoit Mandelbrot { ; distance estimator method ; fract474.gif ; calctime 0:01:00.47 ; created Oct 16, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=mandel passes=1 center-mag=-0.5/3.33067e-016/0.837633 params=0/0 float=y maxiter=1500 inside=0 outside=1 distest=1200/71/800/600 colors=0000Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0X\ z0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0X\ z0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0X\ z0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0X\ z0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0X\ z0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0X\ z0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0X\ z0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0X\ z0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0X\ z0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0X\ z0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz0Xz } Roger Alexander
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Roger Alexander