The Mandelbrot Set

1) On the complex plane we pick a starting number _{} near the origin _{}

2) We compute _{}

3) We continue on calculating _{}

One of two things will eventually happen.

Either_{} will get very large and move away from the origin

or _{} will remain stable
near the origin.

The stable numbers are the Mandelbrot set and we usually color them black

We color the other points based on how quickly the absolute value of some limit, usually 2.

Example:

_{}

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Calculators: