Mandelbrot Set 1
From Math Images
- 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.
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.
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Mandelbrot Set 1 |
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