Mandelbrot, Julia Set, second, third and fourth power - Polynomial fractals AZ⁴ + BZ³ + CZ² + DZ +

Описание

In this video you can see a smooth transition from the second power Mandelbrot set to the third power Mandelbrot set, to the fourth power and some combinations.

The function is following: F(Z) = AZ⁴ + BZ³ + CZ² + DZ + E
This function is iterate so that Z_n+1 = F(Z_n)

Tiles are like follows:
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| A | C | E |
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| B | D | Z |
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Go Not Gently by Audionautix is licensed under a Creative Commons Attribution 4.0 licence. https://creativecommons.org/licenses/by/4.0/
Artist: http://audionautix.com/

0:00 Increase iterations to 70
0:02 Er → -2.5
0:06 Br → 1.0, Cr → 0.0
0:18 Er → -1.5
0:22 Ar → 1.0, Br → 0.0
0:34 Cr → 1.0, Ar → 0.0
0:46 Er → -2.5
0:50 Br → 1.0
1:02 Er → -1.5
1:06 Ar → 1.0, Cr → 0.0
1:18 Cr → 1.0, Br → 0.0
1:30 Br → 1.0
1:42 Ar → 0.0, Br → 0.0, Cr → 1.0
1:54 Tailing: X0 → 0.33, X1 → 0.67, Y → 0.5
2:06 Ei → 0.01
2:14 Tailing: X0 → 0.0015, X1 → 0.9985, Y → 0.0015
2:26 Dr → 0.2, Di → 0.5
2:38 Tailing: X0 → 0.33, X1 → 0.67, Y → 0.5
2:46 Ei → -0.01
2:54 Tailing: X0 → 0.0015, X1 → 0.003, Y → 0.0015
3:02 Er → -1.0, Ei → -0.3