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Fractals:
Mandelbrot
and
Julia
Sets by Wernher Krutein
S
even years ago my friend Mathemetecian/Computer Wiz/Space-Cadet-at-large, Mark Burstein, told me about this bold new branch of mathematics called Fractals. From that moment on I went completly crazy on the visual exploration of the wondrous multi-dimensional world of these Fractals. The Mandelbrot and Julia subsets have some of the most rewarding moments of discovery of the many landscapes and environments that these mathematical functions can create. I believe that we have only just begun to understand and apply fractals into our everday living.
What is a Fractal? A fractal is a kind of repeating structure displaying properties of self similarity. This means taht you can explore a Fractal shape itno virtualy any depth of magnification and you will come across many similar shapes of the original. Fractals were discovered by Benoit B. Mandelbrot who decided to name this bold new area of mathematics "Fractals". He chose that word from the Latin word fractus, which means "to break". Some of the most typical fractals are:
flowers
,
water
, clouds, trees,
waves
, smoke,
flames
,
lightning
,
leaves
,
galaxies
, etc.
Most of these images were created in and reside as 32 Megabyte Originals and have been completed in image processing programs such as Photoshop and Painter. The following is a sample of some of these images.
These images are available for
licensing
in any media. For Pricing, General Guidelines, and Delivery information click
here
. You may contact us thru
email or by phone
for more information on the use of these images, and any others in our files not shown here. You may also use our search engine
PHOTOVALET
(tm)
to find other images not found on this page.
See also:
Linear Fractals
,
Non Linear Fractals
,
Of Light And Form
,
Graphics Backgrounds
,
PHOTOVAULT
Click on any of the thumbnail images below to view an enlarged photo . . . . .
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PHOTOVAULT is a division of
Wernher Krutein Productions Inc.
and is based in San Francisco.
707-775-2562
All images represented and created and displayed on these pages by PHOTOVAULT are protected by US Copyright Law and the Berne Convention. No use, reuse, copying or reproduction is allowed without PHOTOVAULT'S specific agreement and permission, not even on the internet. Please respect the usage of these images.
"Through the eye of the dragon, the many Fractal universes of dimension collide and intertwine themselves into a beauty that holds never ending fascination."
WERNHER KRUTEIN
