Twin Walker - Twisted Mandelbrot Set Zoom vs Julia Set
Автор: mfcc64
Загружено: 2023-05-25
Просмотров: 10474
Relationship between Mandelbrot set and Julia set.
Left: twisted Mandelbrot set.
Right: Julia set.
Location:
C = -1.25223742887958705590694037553942457 + 0.345156629567166411972398970250924827 * i
R = 3.8440237
h(t) = 130/9 * sin^2(π/8800 * t)
r(t) = R * 2^(1/3 * t), 0 ≤ t ≤ 3744/60
r(t) = R * 2^(1/3 * t - h(60*t - 3744)), 3744/60 ≤ t ≤ 8144/60
r(t) = R * 2^(1/3 * t - 130/9), 8144/60 ≤ t ≤ 12236/60
r(t) = R * 2^(1/3 * t - 130/9 - h(60*t - 12236)), 12236/60 ≤ t ≤ 16630/60
r(t) = R * 2^(1/3 * t - 260/9), 16630/60 ≤ t ≤ 22300/60
r(t) = R * 2^(1/3 * t - 260/9 - h(60*t - 22300)), 22300/60 ≤ t ≤ 24500/60
c(t) = C + r(t) * e^(i * (-3/8 * π + 6 * π * t / 25))
Scale factor:
scale factor 1: scale = 0.7453, angle = -0.1046 π
scale factor 2: scale = 1.0441, angle = -0.0967 π
scale factor 3: scale = 1.0031, angle = -0.1403 π
Twisted Mandelbrot set from @fractalmathpro2832.
Minibrot slowdown from @shric_.
Chapters:
00:00 - start
00:45 - scale factor 1
01:02 - minibrot slowdown 1
02:16 - scale factor 2
03:24 - minibrot slowdown 2
04:37 - scale factor 3
06:12 - minibrot slowdown 3
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