|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Today's fractal formula takes Z^(-11.5), adds 4 times as much Z^(-1.15), then adds the reciprocal of C. Adding 1/C instead of the usual C turns a fractal inside-out. The Mandelbrot set, instead of appearing as a lake in an infinite continent, appears as an island in an infinite lake. But fractals created by negative powers of Z normally appear as islands in infinite lakes, so turning these fractals inside-out changes them into lakes surrounded by infinite continents. Combining two different negative powers of Z in an inside-out fractal and initializing Z to a critical value produces a fractal with quadratic midgets. This is the type of fractal that is the parent of today's scene. This parent fractal is a huge thing filled with circular features resembling zippers, with a size exceeding even the full outzoom capability of the Fractint program. Today's midget lies in an area rich with these zipper-circles. I named the image "Baubles". The name came to mind after I spent 1/2 hour with the image on the screen, doing other tasks and thinking of nothing better. I rated the image an above-average 6. The parameter file renders in under 6 minutes, which is slow enough to make a download of the GIF image file the better choice. That download will ba available within the hour at: The fractal weather today here at Fractal Central was cloudy and much cooler than yesterday. The temperature of 52F (11C) was just cool enough to keep the fractal cats confined to their windows, where they sit to watch the outside when they can't actually be out there. It's now time to call it a night. . . It's a night! . . . Until next time, which, within an accuracy of 67 percent, will arrive in 24 hours, take care, and life as well as cats are better with fractals. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Baubles { ; time=0:05:53.56--SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=456.568/-70.8747/1.353355/1/132.499
params=1/-11.5/4/-1.15/0/300 float=y maxiter=1200
inside=0 logmap=55 periodicity=0
colors=00020K30N60S80V90YA0bD0eE0kG0oH0tN6vSCwYHyb\
NzgUzmYzrbzwgzzkzymzzvzztzptyerwVrtKppAoo0kk0jj0gg\
2ce8bcD``H__NYYUXV_XUeVSjUPpSNwQMzPJzNHzNGzPMzPQzP\
XzP`zPgwPkvPprSkpVhoYem`bjc_heXghUekQboN`rK_tHYwEV\
zCUz9Sz6Qz3Pz2Pv0Po0Pj0Nc0NY0NS0NN0QMPNQUMVXK_`Jcc\
HhhGmkErpDwtCzyAzz9zz8zzEzzKzzSzzYvzcrzkmzrhzzczz_\
zzXzz`zzewzjozogzt_zwSzzKzzDzz6zz0zz0zz0yz0pz0gz0_\
z0Qz0Jz0Az03z00z00z00z00z00z00z00z20z50z80z90zH0zP\
5wXAreGomMjvQgzY_weUpmMjvGczA_tGXkMUcSQXYNPcKHjJKg\
GNcEQbCU_AXX9_V6`S5cQ2gN0jK0mJ0pG0rE0tD0vC0vA0w90w\
80y60y50z30z20z00z00w02r06o0Aj0Ge0Kb0PY0VV0_Q2cM2j\
J2oE2tA2z82z32z02zEHvUXchkNyz8zz0zz0zz0zz2zz5zz8zz\
AwzDvzGrzJpzMmzPkzSUzbDzm0zy0zz8zcXzAwz0kz0bz0Sz0J\
z0Hz8HzHGzUGzcDz`Az_8zY6zXAzUEzQHzPMzMQzJUzHYzEbzC\
ezAjz8oz5rz3wz0zz0vz5rzAozGjzMgzSczXezUgzSgzPhzNhz\
KjzJjzHkzEmzDmzAoz9oz6pz5
}
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.
