|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Electricity is a form of energy. I will not speculate about what energy is, other than saying that it infuses the universe. Numbers also hold a mysterious force, and this force can reveal its presence in the form of fractals. Today's image appears quite energetic to me, full of numerical forces and well worth the name "The Fractal Electric". The generating expression mixes various portions of Z^(-1.1) and Z^(-7.4) then adds (1/C) to create a hugely bloated parent fractal shaped like a figure eight. Today's scene is located near a sinuous lightning bolt shooting out from one of the valleys separating the two lobes of the figure eight. With its curvilinear lightning bolts, the image is unusual enough to rate at least a 7. If I had been in a more liberal mood, I might have rated it an 8. The relatively short render time of 3-1/2 minutes will seem like 30 seconds once the image starts to appear. Those who depend on over-qualified computers may see the image by visiting the FOTD web site at: A brilliantly sunny but brisk day with a temperature of 43F 6C on Tuesday went un-noticed by the fractal cats who dwell here at Fractal Central. With the holidays past, the dynamic duo is getting back into its normal everyday routine, and soon will have forgotten all about presents and gift wrappings. My day was unexceptional. The next FOTD will appear in 24 hours. Until then, take care, and have fun. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
TheFractalElectric { ; time=0:03:31.02--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip logmap=96
center-mag=84.7625/1.51677/44.51309/1/-146/2.16154\
386056822e-011 params=1.5/-1.1/0.3/-7.4/0/0 float=y
maxiter=1100 inside=0 periodicity=10
colors=000A60A80AA0AC0AE0AG0AI0AK0AM1AO2AQ3AS49U5A\
V6BW7CY7DZ8E`9Ea9FcAGdAHeBIgCJhCJjDzzDzzEzzFzzFzzG\
KrGKrJKrMKrOKrRKmUKlWKkZLjaLicLhfKgiKdkKenJbrJcpJ_\
rJbsHZoGZmFXjEWhDUeCSaAQY9PV8NR7LN6JJ5IG7KH9LHBMHC\
OHEPHGQHISIcYIzaIzcIzdIzeIzgJU`JWaJXcJZdJ`eJbgKchK\
eiKgkKilKjmKhlJglJfkJdkJbjJajJ`iJ_iJZiJYhJXhIWgIUg\
ITfISfIRfIPeIOeINdIMdIKcIJcHIbHHbHFbHEaHDaHC`HA`H9\
_H8_H7_H8YI8XI8VJ8UJ9TK9RK9QK9PLANLAMMALMAJMBINBHN\
BFOBEOCDPCBPCAPC9QD7QD6RD5RD3RE2SE1SE0TE0TE0TF0SG0\
RG0QH0PH0PI0OI0NJ0MJ1MK1LK2KL2JL2IM3IM3HN3GN4FO4FO\
5EP5DP5CQ6BQ6BR6AR79S78S78Q89P9AOABNBBMCCLDDJEEIFE\
HGFGHGFIHEJHCKIBLJAMK9NK8OL7PM6QM7PO7OP7NR7NS7MT7L\
V7KW7KX8JZ8I_8H`8Hb8Gc8Fd8Ff8Eg8Dh9Cj9Dk9Gl9Jn9Mo9\
Pp9Sr9Vs9YtD`iGcZKfPNiEQl4So6Tr7Vr8Wr9YrBZrC`rDarE\
brFdrHerIgrJtrWhrKjrMkrNlrOnrPorQqrSrrTtrUurV3rLAr\
NHrOOrQVrRarShrUorVyrKQrF }
frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================
|
times.
