May the New Year fill your mind with inspiration and your heart with compassion.
The image is a tiny piece of the boundary of a Mandelbrot set and is a fractal, a fragmented geometric shape that can be split into parts, each of which is a reduced-size copy of the whole. The Mandelbrot set can generate a beautiful variety of mathematical art. My thanks to Mark C. Metzger for the inspiration. Have a wonderful 2010!
-- Wells Anderson
About Our 2010 New Year's Mandelbrot Image
My search for a Mandelbrot set generator led me to an applet by Harald Schmidt, by far the best one of many I tried. I set the color selection to blue and then zoomed and panned until I found an image that for me expresses the beauty of a sunny, cold, mid-winter day here in Minnesota.
You can create your own Mandelbrot set art by exploring its rich visual landscape here:
http://www.h-schmidt.net/MandelApplet/mandelapplet.html
For More on the Mandelbrot Set and Fractals
Wikipedia provides a lovely gallery of images, basic and advanced information, and a good set of links on the Mandelbrot set and fractals.
Mandelbrot Set: http://en.wikipedia.org/wiki/Mandelbrot_set
Fractals: http://en.wikipedia.org/wiki/Fractal
Click any image for a larger version:
 Start |
 Step 1 |
 Step 2 |
 Step 3 |
 Step 4 |
 Step 5 |
 Step 6 |
 Step 7 |
 Step 8 |
 Step 9 |
 Step 10 |
 Step 11 |
 Step 12 |
 Step 13 |
 Step 14 |
These images are from the Wikimedia Commons. The copyright holder of these files, Wolfgang Beyer, allows anyone to use them for any purpose, provided that the copyright holder is properly attributed. Redistribution, derivative work, commercial use, and all other uses are permitted.
The Wikimedia Commons is a freely licensed media file repository. You can help.
"Imagine if every person on earth could share in the free and total access to all human knowledge. Your donation helps get us closer."
Click here to donate to Wikipedia:
