Fractal Graphics Gallery フラクタル画像集

Gorilla in Burning Ship
xnew=x*x-y*y-px
ynew=2|x*y|-py
-0.33<x<0.33; -0.25<y<0.25
-0.33-0.25px=1.743, py=0.02
maxLoop=120, explosion threshold=8

the head of the gorilla
-0.06<x<0.06; 0.059<y<0.15

"Hole" in the center of the gorilla's chest
-0.0052<x<0.0052; 0.0610<y<0.0750

A "frog"
-1.2<x<1.2; -1.3<y<1.3 4; Px=-0.45; Py= 0.70
loop=150; explosion threshold=8

Alzheimer Brain
 -2<x<2; -2.2<y<2.2; Px=0.75; Py=0.9
loop=120; explosion threshold=120

Mandelbrot; Znew=Z*Z*Z+c (c=-1.801+0.089i)

Julia set: Dendrite (1)

Julia set: Dauady's Rabbit Fractal (-0.123+0.745i)

Julia set: San Marco Fractal (-0.75)

Julia set: Siegel Disk (-0.391-0.587i)

Znew=1/Z*Z+c  Julia set at (-0.71, 0.1)

Znew=1/Z*Z+c  Julia set at (-0.71, 0.1)
Fix c, Z0=(Pixel position)

Newton with disturn of P(0.1, 0)
Znew=z-F(z)/(F'(z)+P)
F(z)=Z*Z*Z-2*Z-5

Newton Secant Method; The "Ghost"!
Znew=Z-F(z)/(F'(z)+P)
F'(z)=(F(z+h)-F(z))/h
range: x(-0.7, 0), y(-0.4, 0.4), P(0, 0)

Newton Method; Complex Cubic; Pink Mask
f(z)=(z-1)(z-c+0.5)(z+c+0.5)
range (-0.361324, 0.586676), (-0.638263,0.625737 )