A Playground of Thoughts > Vortex of Infinity > Gravitational Composition I

Gravitational Composition I

"Gravitational Composition I"



Author:TAKASUGI Shinji
Format:JPEG, 640 x 480 x 24bit
Software:Borland C++
Fractal: Julia set of Newton-Raphson method

Newton-Raphson method was applied for f(z) = z3 - 1
The height h was determined as follows:

z0 = x + yi
zn+1 = zn - f(zn) / f'(zn)
dn = the distance between zn and its nearest solution
h = limn →∞ 1 / (2-n log dn - 1)
Texture: "Small Pleasures", "Composition IV", and "Yellow, Red, Blue" by Wassily Kandinsky, transformed by another program.
Rendering Time: 20 minutes for 1600 x 1600 x 24bit on 486DX2/66MHz, 28M RAM, OS/2 Warp 3.0J




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Copyright(C) TAKASUGI Shinji (tssf.airnet.ne.jp)