|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Adding Z to Z^3 changes the entire shape of the resulting fractal. Adding Z to Z^2 merely shifts the position of the fractal without changing its overall shape. When the exponent is between 2 and 3, the closer to 3 the greater the change. For today's image I varied the exponent between 2 and 3 to observe the gradual change. I settled on Z+Z^2.05+C because I noticed a lot of interesting chaos along the splitting negative X-axis. Today's image is located in this chaos. Most of the artistic effect is created by the 'fmod' option, which was applied to the outside parts of the image. Don't ask me why I chose the name "His and Hers". I can see nothing whatever in the picture to justify such a name. But even though the name makes little sense, the image is still worth a 7. The render time of 5 minutes is reasonable for the above-average result. And the completed GIF image is available on the internet for download at: A perfect summer day with lots of sun and a temperature of 91F 33C on Tuesday here at Fractal Central made for perfectly happy cats who spent several hours on guard in the yard. When the cat from two doors down appeared in the brush, Tippy was ready to attack. Luckily for someone, the cat backed off and no force was needed. Thomas slept through the danger. The similar forecast for today should bring similar conditions. And if I finish the necessary work early enough, I might find some time to enjoy the day myself. Until next time, take care, and search for that lost fractal. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
His_and_Hers { ; time=0:05:02.98--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=-1.57498835838500200/+0.013976629359833\
04/1.084695e+011/1/80/-0.0922994127536091724
params=1/2.05/1/1/0/0 float=y maxiter=650 inside=0
proximity=0.25 outside=fmod logmap=yes
symmetry=none periodicity=10
colors=000SGdRGdQHcQHcPIcOIbNJbNJbMKaLKaKL`KL`JM`I\
M_HN_GQYHN_HLaIJcIHeIFgJDhJBjJ9lK7nK5pL0qK2qK3qJ4q\
J5qJ6qI7qI9qIAqHBqHCqHDqGEqGGqGHqFIqFJqFKqELqENqDO\
qDPqDQqCRqCSqCUqBVqBWqBXqAYqAZqA`q9aq9bq9cq8dq8eq8\
er8fq8fp8fo8fn8fn8gm8gl8gk8gj8gj8hi8hh8hg8hf8hf8he\
8id8ic8ib8ib8ia8j`8j_8j_8jZ8jY8kX8kW8kW8kV8kU8kT8l\
S8lS8lR8lQ8lP8mO8mO8mN8mM8mL8mLAnNCnODnPFoQGoRIoSJ\
pTLpUMpVOqWPqXRqYSrZUr_Vr`XsbYsc_sd`tebtfctgeuhhui\
kujnvkqvltvmwwnzwozwpzxuyxswwquuostmqskoqimpgkoeim\
cglaej_ciYahW_fUYeSWdQUbOSaMQ_KOZIMYGKWEIVCHU9HTAF\
SBDRBBQCAPD8OD6NE4MF2LD3KE3JF3IG3HH3GI3FJ3EK3FK3GL\
3HM3JN3KO3LP3MQ3NR3OR3PS3QT3RU3SV4UW4VX4WY4XY4YZ4Z\
_4_`4`a4ab5bcAddFedKfePgfUhgZihdjijkjolkumjxmkulkp\
lkjkkejk_jlVilPhlKhlFgl8fl7fm7em7dm7dm8cm8bm8bn8an\
9`n9`n9_n9ZnAZoAYoAXoAXoBWoBVoBVpBUpCTpCTpCSp6Uw9T\
sCSpFRmHRiWDfVEfUEeTFeTFe }
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 20.0 PAR-FORMULA FILE==================================
|
times.
