Mar 12, 2022 · With the implicit given curves in mind you can use your preferred programing language to draw the curves and animate it. You can see here the second part of the video you mention in your …

The boundary of the Mandelbrot set (in some places) is locally a Julia set! Since the boundary of the Mandelbrot set has to resemble many different Julia sets, themselves fractals, it is much more …

Oct 16, 2016 · If there are an infinite amount of details that can be found in a Mandelbrot set, shouldn't the Mandelbrot Set have an infinite area? Supposedly the area of a Mandelbrot set is 1.5065918849 …

Sep 21, 2014 · The second leads on from the first. Can we prove the Mandelbrot set is a fractal? It is very easy to see that something like the Sierpinski triangle is fractal by design. Yet it's not obvious to …

In particular, this might provide a jumping off point for discussing how the Mandelbrot set in the plane shares many of the topological properties of a compact interval on the real line.

Oct 1, 2022 · A quick less technical explaination is that part of why the mandelbrot set is interesting is that when we look at smaller patches the level of complexity in the boundary doesn't decrease and …

Jul 29, 2022 · I'm using this formula: where "phi prime" is 2*z and "phi N" the Nth iteration of the Mandelbrot formula z²+c. UPDATE: I want to calculate the cycle of a point. Basically I want to build …

Here is a picture of the mandelbrot set generated by fraqtive: zooming in to the circled area we see a slightly distorted copy of the original fractal the julia set associated to the point right in the middle of …

Dec 23, 2016 · Unfortunately that equation doesn't appear to converge, though I see why it should produce the mandelbrot set if it did. Thanks for the link. I guess I see why Newton's method could …

Feb 14, 2023 · Worth looking over is The Mandelbrot set by Bodil Branner, pp. 75-105 in Chaos and Fractals. The Mathematics Behind the Computer Graphics, Proceedings of Symposia in Applied …