The Mandelbrot set (or Mandelbrot complex set) is a collection of points that form a fractal in the complex plane, named after the mathematician Benhua Mandelbrot. Mandelbrot sets are somewhat similar to Julia sets, such as using the same complex quadratic polynomial for iteration.
The infinite magnification of the Mandelbrot collection can have subtle details, and this magnificent pattern is only generated by a simple formula. Therefore, some people think that the Mandelbrot set is "the strangest and most magnificent geometric figure ever made by human beings", and it was once called "the fingerprint of God". Mandelbrot sets can be defined by complex quadratic polynomials:
.
where is a complex parameter.
Iterate from the beginning to: Different parameters may make the modulus of the iterative value gradually diverge to infinity, or it may converge in a limited area.
The Mandelbrot set is the set of all complex numbers that make it non-proliferating. FeatureEdit
self-similar
The area is 1.5065918561 This book is a Mandelbrot set graphic I made using the app.
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