21st CENTURY ART, C.E. - B.C.

"...the geometry is the light..."

PATTERN

Mandelbrot Sets



ONE OF THE MOST EXQUISTE OF THE COMPUTER ART FORMS IS THE MANDELBROT SET. WHEN I FIRST SAW IT, I THOUGHT IT WAS THE CODE FOR THE CREATION OF NATURE, ALL FLORA AND FAUNA, CHEMICALS, MINEARALS, ETC.. STARTING WITH A SINGLE POINT, THE POINTS PROLIFERATE (SOME RUN AWAY TO INFINITY) UNTIL THEY WEAVE ORGANIC-LIKE FORMS. MANDELBROT SETS, TO A SUPERLATIVE DEGREE, DISPLAY THE TWIN MODES OF ALL CREATION: REPETITION AND RESTRAIT.

THERE ARE LITERALLY HUNDREDS OF WEBSITES THAT SHOW AND EXPLAIN MANDELBROT SETS. CLICK ON EACH IMAGE IN TURN AND YOU WILL FIND FOUR DELIGHTFULLY DIFFERENT SITES -- April 24, 2000



No words are necessary to understand the beauty of the Mandelbrot Set -- the complexity of simplicity.





The simplicity of complexity.



A fractal is any not-smooth shape composed of infinitely many small regions similar to the entire fractal.





Fractals and infinite fractals.



The study of fractals is intimately bound up with Chaos Theory.





Fractals can be view in CHAOS






Mathematics, inversive circles, radix representations, quadratic rational functions, maps, theories, and the comprehendability of chaos -- the infinite charm of grid arts.





Some run away to infinity.





z —> z2 + c









Image copyright © Mandelbrot Pictures 1998






21st Century Art, C.E. - B.C., A Context

Copyright © Jan Haag 2000
ALL RIGHTS RESERVED




Jan Haag may be reached via e-mail: jhaag@u.washington.edu




BY JAN HAAG


MUSIC + POETRY + TEXTILE ART + TRAVEL + ESSAYS + FICTION

INTRODUCTION + HAAG'S BIO