Math Is Fun Forum

Dragonshade

Member

Registered: 2008-01-16

Posts: 147

A silly question about Mandelbrot set

I noticed that one would eventually be looking at the center of the mandelbrot shape by picking any point on the graph and zooming deep enough. If the center of that shape is colored black. Why wouldn't the entire graph look black? (assuming there is no limit to the computing speed to the computer)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

Re: A silly question about Mandelbrot set

Hi Dragonshade,

Are you looking at a computer generated picture?  There will always be a pixel / computing limit.  As I understand it, Mandelbrot, in the perfect world, has infinite levels of iteration.  That's how fractals are defined.

Bob

Last edited by Bob (2011-01-05 22:20:13)

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Dragonshade

Member

Registered: 2008-01-16

Posts: 147

Re: A silly question about Mandelbrot set

hmm, so the generated graph is not the complete picture of it. So my question has not been a well defined one.
thanks

Last edited by Dragonshade (2011-01-06 19:45:59)