MandelbulbRot 00000-10501 VP9 slow lossless

About

An #animation of the Mandelbulb #fractal. The fractal follows the iterative formula v^x ↦ v + c, where x is variable (Standard: v⁹ ↦ v + c). x grows constantly by 0.002 per frame in the video, starting at 0. For every 500 frames, this variable has increased by 1. The range is from 0 to 21. As the variable value increases, the fractal approaches circular and spherical structures. The increase of the value is strictly linear. c is a complex number here. Have fun! Created with mandelbulber2.

Also interesting are the shapes and constellations that we get to see while the video process progresses.

From 00:00 to 00:08.333 we see a sphere or a drop-shaped geometric primitive that contracts as if to a point. (Value of the variable between 0 and 1). The reached point at the value 1 reminds of the point of singularity in astrophysics, from which the universe spreads out by the big bang. From value 1 also the fractal spreads out and gets at 00:16,666 the form of the classical Mandelbrot set in a three-dimensional interpretation. The value 1 of the formula is also approximately considered as the turning point of a body from a Euclidean geometry to a fractal geometry. At v² ↦ v + c exactly one horizontal symmetry axis can be seen.

v⁵ ↦ v + c → 00:41.666 (approx. Frame 2500) A cross can be seen in the center. The lines point in the direction of the bulbs, which could act as the corners of a fictitious square. We see a quad of mathematical entities.

v⁶ ↦ v + c → 00:50 (Frame 3000) We see flower-like structures, also something organic.

v⁷ ↦ v + c → 00:58.333 (Frame 3500) We see clearly visible symmetry axes.

v¹⁹ ↦ v + c → 02:38,333 (Frame 9500) By approximating the circular structures, the fractal along the animation looks like an outpouring from a very complex eye to a formable fractal structure.

A higher value of the variable is also accompanied by more symmetry axes.

Colors: The colors are taken from a palette of rainbow colors. With a higher value of the variable the color cycle advances. The color scheme is chosen so that equal areas have equal color. Thus, some "slats" are of the same color.

MandelbulbRot 00000 10501 VP9 slow lossless MUSIC

Archive

Wikimedia Commons, in Wikimedia Commons

Licence or status

CC0, as the Wikimedia Commons states it.

Rights statement

Creative Commons Zero, Public Domain Dedication

Credit

PantheraLeo1359531

Subtitles

German, English, French, Russian, Ukrainian

Who can watch

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