Mandelbrot Set 1

From Math Images
Revision as of 11:32, 10 June 2011 by Kderosier (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search
Inprogress.png
Mandelbrot Set 1
Mandelbrot detail6.jpg
Field: Fractals
Image Created By: António Miguel de Campos
Website: Wikimedia Commons

Mandelbrot Set 1

An example of a Mandelbrot set. The spiral appears to continue infinitely with each iteration. The spiral will get more detailed the more the viewer zooms in, until the viewer appears to be seeing what he or she began with.


Basic Description

A series of real (like 1, 2, 3, and so on) and complex numbers (i, the square root of negative one) is used and colored to produce the image seen here. The series makes the edges of the image become more detailed with each iteration.

If you can see this message, the Java Applet failed to run. No Java plug-in was found.

A More Mathematical Explanation

Note: understanding of this explanation requires: *Single variable calculus

An infinite series produces the fractal seen here. Colors are assigned to a region of numbers based [...]

An infinite series produces the fractal seen here. Colors are assigned to a region of numbers based on the iterations present (1 to 1,000,000 are blue, etc.). Eventually, the iterations produce the original image again.




Teaching Materials

There are currently no teaching materials for this page. Add teaching materials.









If you are able, please consider adding to or editing this page!


Have questions about the image or the explanations on this page?
Leave a message on the discussion page by clicking the 'discussion' tab at the top of this image page.