Here is the summary of my time (obviously you can read it for yourself, if you desire).
- Benoit Mandelbrot- The MAN when it comes to fractals. He discovered the Mandelbrot Set.
- Self-Similarity- when an object's whole is similar to its parts.
- Mandelbrot Set- "a set of points in a complex plane, whose boundary is a fractal." And also we have it defined as "the Mandelbrot set can be defined as the set of complex c-values for which the orbit of 0 under iteration of the complex quadratic polynomial xn+1 = xn2 + c remains bounded."
- That's where it got REALLY complicated for me. So, I had to try to figure out what in the world all this meant.
- I started with complex quadratic polynomial. That required knowing what a quadratic polynomial was as well as a complex number.
- There are real numbers (your basic 1,5,7,34,67,90, to infinity), imaginary numbers (represented by the Greek letter iota and is the sqaure root of -1), and complex numbers (a mixture of real and imaginary numbers).
- Complex numbers can be written as x+iy. "On a Cartesian plane z=complex number and is defined by z=x+iy
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