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May 22, 1997: It Ain't No Banana May 21 May 23 1997 FOTD Home

banana

Fractal visionaries:

Most people have no idea what a fractal is.  When they hear a Julia set mentioned, these people picture a set of fine dinnerware; when they hear the Cartesian plane mentioned, they picture a high-tech airplane; when they hear imaginary numbers mentioned, they think of falsified data.

In my experience, people are often turned from fractals by too much talk about the math involved.  Nerdy words such as maxiter, derivative, transcendental, and hypercomplex bring nothing but puzzled expressions, and give fractal art an egghead aura that it really doesn't deserve.  This is why I try to keep my fractal formulas and discussion as simple as possible.

Today's fractal, an oblique slice of the (-Z)^1.05 mandeloid, is a pretty simple one, but a rather striking one.  I never cease to be fascinated by the unique detail hidden in the lake area of these ultra-low order figures.  One of these years I'm going to devote an entire month investigating these deceptively simple little fractals.  But for now I'm developing an interest in Newtons.

Jim Muth
jamth@mindspring.com


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