Various routines for examining the Mandelbrot series , some of
these
generate a rather bland image . This isn't necessarily a bad
thing as this
might mean that we are taming the chaotic nature of the
initializing
fractal.
d1Mandelbrot(XAXIS) {; Edward Montague
;
First Derivative of Mandelbrot Series.
x = Pixel
z = 1 :
z =
2*x*z+1
x = x*x + Pixel
|z| < 1000000
}
p1Mandelbrot(XAXIS) {;
Edward Montague
; Phase of Mandelbrot Series.
x = Pixel
y = 1 :
y
= 2*x*y+1
z = y/x
x = x*x + Pixel
|z| < 1000000
}
i1Mandelbrot(XAXIS) {; Edward Montague
; First normalized summation
of Mandelbrot Series.
z = Pixel
s = 0
n = 1 :
z = z*z+Pixel
s =
s+z
u = s/n
n=n+1
|u| < 4
}
f1Mandelbrot(XAXIS) {; Edward
Montague
; First summation of function 1 using Mandelbrot Series.
z =
Pixel
s = 0
n = 1 :
z = z*z+Pixel
s = s+sin(z)
u = s/n
n=n+1
|u| < 0.5
}
