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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: It is rare that a hairy caterpillar comes squirming out of the fractal computer (unless it is an Apple, that is), but this is exactly what happened last evening, and today's image is the evidence. The object in today's image is a Julia basin in one of the Z^1.4142 sets. It looks so much like a big fat squishy caterpillar that I could not resist the urge to name it "Hairy Caterpillar". The image was created by the new 'mult-XY-ZW-compjb' formula that I recently wrote. The same scene could have been found with a simpler formula, but I prefer today's formula, which can switch between the Mandelbrot and Julia, as well as the other aspects of a scene, with little difficulty. The rating of an 8 does not imply that I enjoy hairy caterpillars. Actually, I am neutral about them, and it is hardly the time of year when caterpillars are out and about in this part of the world anyway. I gave the image such a high rating because of the extraordinary definition of the basin at the center, with its odd set of holes. When the rating is combined with the render time of 19 minutes, the overall worth registers a 42. Somehow, the image seems better than that. In fact, I'm less than satisfied with this whole overall worth thing. I think I'll stop rating the FOTD images for overall worth, or start figuring the rating in a different manner. The present method gives far too much importance to the render time. And the overall worth rating really is pretty useless. The render time becomes just a curiosity when the completed GIF image is downloaded from the FOTD web site at: The Morning sun on Monday turned to clouds by 1:00pm and snow by 4:00pm. Only about 1/2 inch (1cm) fell, but it proved to the cats that a trip outdoors was out of the question. Their excitement was limited to watching the snow from their shelf by the window. The boredom was eased by a treat of tuna mixed with bits of cheddar cheese. Today is starting milder, but it is still below freezing and the sky is cloudy. Let us hope for better things for the fractal duo. For me, only a little commercial work waits to be accomplished, and then it's back to the fractals. Until 24 hours have passed, take care, and a fractal a day is better than tuna at keeping boredom away. Jim Muth jamth@mindspring.com jimmuth@aol.com |
Hairy_Caterpillar { ; time=0:19:07.28--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=mult-XY-ZW-compjb function=ident/flip
passes=1 center-mag=+0.77150925485208020/-0.441181\
37588527820/1770.401/1/55/1.95960608850853646e-012
params=90/90/1.4142/0/1.4142/0/0/0/-0.542983266/0.\
017693381 float=y maxiter=5000 inside=0
logmap=200 symmetry=none periodicity=10
colors=000IF8KI9KK9KK9KF9KE9KG9KK9KH8KH9KK9KK9KK9K\
G9KK9KH9KJ9KI9KJ9KPAKKAKMAKKAKKAKKAKKAKMAKKAKKAKOA\
KPBKPBKQBKMBKNBKNBKOBKOBKPBKSBKQBKRCKRCKRCKRCKSCKS\
CJTCJTCJUCIUCITCIVDIWDHWDHXDHXDGYDGYDGZDFZDFZDF_DE\
_EE`EE`EEaEDaEDbEDbECcECcECdEBdEBeFBeFAfFAfFAfF9gF\
9gF9hF9hF8iF8iF8jG7jG7kG7kG6lG6lG6mG5mG5nG5nG6mE5n\
F5nG5nG5nH5nH5nI5oI5oJ5oJ5oK5oK5oL5oL5pM4pM4pN4pN4\
pO4pP4pP4qQ4qQ4qR4qR4qS4qS4qT4rT4rU3rU3rV3rV3rW3rW\
3sX3sY3sY3sZ3sZ3s_3s_3t`3t`3ta2ta2tb2tb2uc2uc2ud2u\
d2ue2ue2uf2vg2vg2vh2vh2vi1vj1vk1wk1wl1wm1wn1wn1wo1\
wp1xq1xq1xr1xt1xt1xu0xu0yw0yw0yx0yx0yy0yy0yz0zz0zz\
0zz0zz0zz0zz0zz5mtAamFQhKAcLCZMEUOGPPHQQJQSLQTNQUO\
RWQRXSRXTRYVRYXRYZRZ_SZaSZcS_eS`fSahSbjSckRdkSgkSj\
kSmkSokSqkSskSukSwjSzjSzjSzjSzjSzjSzjSzjSzjSziSziS\
ziSziSziSziSziTziTziTzhTzhTzhTzhTzhTzhTzhTzhTzhTzg\
TzgTzgTzgTzgTzgTzgTzP8zO8 }
frm:mult-XY-ZW-compjb {; 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))+p4,
c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5:
z=z^p2*(c^(p3-1))+c,
|z| < 400 }
END PARAMETER FILE=========================================
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times.
