Spirals

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Offline pauldelbrot

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« Reply #15 on: April 08, 2018, 03:27:47 AM »
Maelstrom Vortex

Offline pauldelbrot

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« Reply #16 on: April 16, 2018, 12:06:17 AM »
Candy Hurricane

Offline hgjf2

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« Reply #17 on: April 21, 2018, 11:35:30 AM »
Also the spirals especially logarythmic has often founded in Mandelbrot and Julia sets.
Just and the logarythmic spirals has based by a sample differential equation y'=(x+ay)/(x-ay).  If the equation y'=(x+y)/(x-y) having a curious solution (x^2+y^2)=C*exp(arctg(y/x)) not solvable in y=f(x,C) or x=g(y,C), solvable using the complex transformation in complex polar coordinates exp(z).
« Last Edit: April 21, 2018, 12:10:50 PM by hgjf2 »

Offline pauldelbrot

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« Reply #18 on: April 27, 2018, 06:06:34 AM »
Geranium Spiral

Offline pauldelbrot

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« Reply #19 on: May 07, 2018, 12:39:12 PM »
Wisps

Offline pauldelbrot

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« Reply #20 on: May 19, 2018, 07:25:50 AM »
Seahorse Tail

Offline pauldelbrot

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« Reply #21 on: June 11, 2018, 12:23:06 PM »
Aqua Vortex

Offline pauldelbrot

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« Reply #22 on: June 19, 2018, 11:04:54 PM »
Neon Discharge Turbulence

Offline mrrudewords

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« Reply #23 on: June 20, 2018, 01:36:41 AM »
You really have a flare for naming your images!  :thumbs:
Z = Z2 + C (obvs)

Offline pauldelbrot

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« Reply #24 on: June 20, 2018, 04:35:52 AM »
Thanks!

Offline pauldelbrot

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« Reply #25 on: July 02, 2018, 05:16:04 PM »
Reaching Down

Offline pauldelbrot

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« Reply #26 on: July 14, 2018, 08:12:14 AM »
Bubblegum Twist


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