The Mandelbrot set, Chaos theory, fractals and chaotic phenomenon

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Sometimes described as the most complex and beautiful object in mathematics, the Mandelbrot set is generated by a remarkably simple formula.

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  1. discovermaths
  2. Mandelbrot set
  3. Benoit Mandelbrot
  4. fractal
  5. Julia set
  6. Discover Maths
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This is the coolest math video I've ever seen. You sure found the right viewer, can't wait for more!

jacobhonig
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I made Mandelbrot set using equation provided in processing. It really look nice.

rajatperiwal
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I found one based on the ellipse. The regular one is based on the circle. My ellipse one is the same as the regular one except it is skewed 45 degrees. It is purely algebraic and uses x^2+y^2+x*y (ellipse) instead of x^2+y^2 (circle) to determine the radius.
x^2+y^2+x*y=1
x^2+y^2=1
<cos(θ)-(1/3)*sin(θ)*sqrt(3), cos(θ)+(1/3)*sin(θ)*sqrt(3)>

thomasolson