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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image shows a new view of the large midget at -1.75 on the X-axis of the Mandelbrot set. As far as I know, today's image is the first time this midget has been seen in such an unusual apparition. The image shows the midget as it appears when viewed in the Elliptic orientation. But the question of which part of the image is the actual midget immediately arises. Is the midget the well-defined triangular hole at the center, or is it the broad dark band with bright edges partly visible in the background? Actually, the triangular hole at the center is the midget. The background band shows some of the potential perturbed versions of the midget that become visible when imag(z) is varied. These potential perturbed midgets are what inspired the name "Fractal Potentia". The rating of an 8 would have been a 5 or 6 if I had not stumbled upon the color palette that works so well with the image. The extremely brief render time of only 11 seconds is one of the best fractal bargains of all time. Those who do not do their own rendering but still enjoy fractals may see the -1.75 midget with its array of potential perturbed midgets by downloading the finished GIF image from the FOTD web site at: Wednesday started with light rain here at New Fractal Central. The rain ended by 11am, but the clouds persisted for the rest of the day, holding the temperature to 64F 18C. The fractal cats didn't mind the less-than-ideal conditions. They were too busy chasing a ball of aluminum foil all around the first floor. My day was slower, but still a bit busier than I prefer. The next FOTD will appear in 24 hours. Until then, take care, and things may not be as they seem. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Fractal_Potentia { ; time=0:00:11.48--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=multirot-XY-ZW-new function=ident/flip
passes=1 center-mag=-1.76526/0/2.684939/5.9269
params=90/0/2/0/0/0/0/0.0001 float=y maxiter=1000
inside=0 logmap=18 symmetry=xaxis periodicity=10
colors=000AAF7LV5Qe8RfASfCTfEUfGUfIVfLWfNXfPYgRYgT\
ZgV_gY`m_bradvcgzejzgmzjozloznpzpqzrrztrzpnznlzojz\
phzqdzrbzrZzrWzqUzpWzoYzn_zmgzmfzmizmlzmozmrzmszmt\
zBj6JdGQ_PXUZcPgcOgcMgdKhdJheHieFieDifCjfAjg8kg6kg\
5kh3lh1lh0lg3mg5ng8ngAofDofFpfHqfKqeMrePreRseTtdWt\
dYud`udbvddvectfcsgcrgcqhcoicnicmjclkcjkcilchmcgnc\
encdoccpbbpbaqb_rbZrbYsbXtbVubUubTvbSwbQwbPxbOybNy\
bMwcNvdOtdPseQrfRpfSogTngUlhVkiWjiXhjYgjZfk_dl`cla\
bmb`mc_ndZoeXofWpgVphWqeWqbXr`XrYXsWYsTYtRYtOZuLZu\
J_vG_vE_wB`w9`x6`x4ay5by5by6cy6dy7dy7ey8ey8fy8gy9g\
y9hyAhyAiyBjyBjyCkyCkyClyDmyDmyEnzEnzFozFpzGpzGqzG\
qzHrzHszIszItzJtzJuzKvzKvzKwzLwzLxzMyzMyzNzzNzzNhx\
YRwhAvs9sq9pp8mo8kn7hm7el7bj6`i6Yh5Vg5Sf5Qe8RbAS`C\
TZFUXHVVJWTMXQOYOQZMT_KV`IX`GYZKZXO_VS`TVaRZaPbbNf\
cLidJmeHqfFuqiEk_DdPCZFCYEEYDGYCHYBJYAKY9MY9NY8PY7\
QY6SY5TY4VY4WS6PN8JIADDB7 }
frm:multirot-XY-ZW-new {; draws 6 planes and rotations
;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J
;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J
a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994,
z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3,
c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4:
z=z^(p2)+c,
|z| <= 36 }
END PARAMETER FILE=========================================
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times.
