|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Being forced into too much yard work, (Picking up one stick is too much.) I found little time for fractal fun. But in the end the yard work was worth it. The yard now looks better, and the fractal, which I eventually did get to, rates a 4, which is not too bad. The formula behind the image is -1.5(Z^1.2)+1.5(Z^1.3)+C, a modest expression that would be expected to do little, and indeed does but little. But that little that the formula does manage to do holds at least a few interesting things. Today's unusual spiral is one of those things. The spiral is unusual in that its 8 arms are unusually fragmented, and not at all the smoothly blended things that would be expected. While studying and trying to color the image, I felt the impression of something vaguely sinister, and considered a corresponding name, but being unable to pin down the cause of my impression, I settled on the neutral name, "Spiralesque". The parameter file renders in just over 9 minutes. The GIF file will be available for download in an hour or so at: The fractal weather today, with its partly cloudy skies and temperature of 65F (18C), was perfect for yard work. It was also perfect for fractal cats, but the intrepid duo was annoyed by the activity, and spent most of the day indoors. I eased their frustration with a treat of tuna. It's now the middle of the morning and time for other work. Until next FOTD, which will appear in 12 hours or so, take care, and don't overwork. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Spiralesque { ; time=0:09:10.69--SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=+1.936911287737238/+7.881112847818978/7\
.861229e+008/1/-147.5 params=-1.5/1.2/1.5/1.3/0/800
float=y maxiter=900 inside=0
logmap=174 periodicity=10
colors=000P00mmPmmHmmJmkLmiLmgNkeNedP`bPV`RNZTHXTC\
VV6TV0RX0PX00K0AK0GN6ACH42T00d00iA0mNHq``ukoxtzzzz\
xwzuuzqqzkixgbsdVk`NeeRkiVomXss`vvbzzezzizzkzzozzq\
zzuzzvzzxzzzzzzzuzzmzzezzZzzPzzHzzAzz2zz0zz0zz0zz0\
zz0zz2zz8zzGzzNxzVuz`oxgkvoguvdqz`ozXkzTizPgzLkzHm\
uGqkCsbAsV6pL2mC0m20m00m00m00m00m04m0Ao0Hq0Ns4VoAb\
kEgeJobNuZTzVXzPbzLezHizEgzLezTdz`bzg`xoZsvXmzVgzV\
bzX`zXZzXXzXVzXVzXTzXRzZPzZNzZNzZLzZJzZHzZGzZGzgCz\
qAzz6zz4zz0zs0zk0vd0uX0qR0oJ0kC0i40e00d00b00V20N80\
GE8AJH2PP0VZ0`e0Pb0G`H6ZZC``G`bJbdNbeRbgVdiZdkbdmg\
eokeqogssguvgvzixzizzizzeuzdqx`muZiqVeoTbkPZgNVeJR\
bHNZEJXCGVALV8PT8VT6ZR4dR4gR2mP0qP0vN0zN0zL0zL0zL0\
zP0zT6zXCz`HzdNxeTsiZomdkqikuouvszkvz`xzPzzLvzHuzG\
szCqz8oz6mz2kz0kz0kz0kz0kz0kz6kzEkzLkzTmz`ozgqzosz\
suzuvzvxzxzuzzmzzezzZzzRzzJzzCzz4zz0zz0zz0zz0zz0zz\
4zzCuzJqzRmzXgzddzkZzsVzz
}
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.
