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Microfractal 馃珫
Microfractal 馃珫
@Microfractal@mathstodon.xyz  路  activity timestamp 7 days ago

I really enjoy making visualizations like this.

Zooming into a stack of embedded Julia sets of the Mandelbrot set.

#Mandelbrot #MandelbrotSet #Fractal #Fractals #DeepZoom #Visualization #Graphics

There are three images, all of them showing a deep zoomed Mandelbrot set, colored using a rainbow color gradient. The top image is least zoomed, the bottom the most zoomed. The three images are connected by triangles, which illustrates the size relation of the rendered fractal by showing that the next image can be found in the previous.
There are three images, all of them showing a deep zoomed Mandelbrot set, colored using a rainbow color gradient. The top image is least zoomed, the bottom the most zoomed. The three images are connected by triangles, which illustrates the size relation of the rendered fractal by showing that the next image can be found in the previous.
There are three images, all of them showing a deep zoomed Mandelbrot set, colored using a rainbow color gradient. The top image is least zoomed, the bottom the most zoomed. The three images are connected by triangles, which illustrates the size relation of the rendered fractal by showing that the next image can be found in the previous.
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webhat
webhat
@webhat@infosec.exchange replied  路  activity timestamp 7 days ago

@Microfractal it looks really, how are you making them? Is there anything you can share about it?

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Microfractal 馃珫
Microfractal 馃珫
@Microfractal@mathstodon.xyz replied  路  activity timestamp 6 days ago

@webhat It's created using my own software. It uses a lot of algorithms to accelerate the computation of such deep zooms: Perturbation theory and linear approximation acceleration. Perturbation makes it possible to avoid slow high precision number types for each pixel, linear approximation acceleration skips a bunch of iterations.

I wrote about the algorithms here: TODO

I have a thread about the program here: TODO

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