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Fractal of the Day
by Jim Muth
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Fractal visionaries: While the debate about whether to organize or not to organize grows in intensity, I stand on the sidelines, contentedly continuing to search for fractal images. I am pretty much neutral on the idea of a fractal artists' guild. Belonging to such a group would give a certain legitimacy to our fractal art field, but I doubt if such a group would suddenly open the general public's eyes to the wonderful things that numbers can do. All too many people disengage their brains when they encounter art. They judge a painting's worth by how photographically realistic it is, a novel by how sensational it is, and a piece of music by the immediate catchiness of the major scale melody or else by the volume of the percussion. This natural human aversion to intellectual effort is in my opinion the chief impediment to the wide acceptance of fractal art, and indeed, to the acceptance of all abstract art. I have been a member of a similar group, the Graphic Artists' Guild, for several years. And to be honest, the greatest effect the guild has had in my life to this point has been when I wrote the checks for the membership fee. If a fractal guild were formed, I would consider the membership fee and what the group might accomplish, before making my decision about joining. My fractal today, as promised yesterday, is a figure I discovered in the Julia plane of the (-Z)^1.007 mandeloid. It's incredible that an exponent so close to unity could produce an image with as much detail as in today's fractal. But here it is, in all its spiral glory. The image has been posted to a.b.p.f. and a.f.p. and will soon be available at: Tomorrow will be my last FOTD until I return from a well-deserved vacation on September 8. I will try to make it a good one, but my good intentions sometimes are not fulfilled. So check then to see what fractal turns up. Jim Muth jamth@mindspring.com |
START FORMULA======================================================
JulibrotInvZ {; Jim Muth
; Draws oblique slices of order n inverse Julibrot Figure
; P1 defines power of Z, P2 determines center of slice
; P3 determines angle of slice
z=pixel, c=p2+(pixel*p3):
z=(-z)^p1+c,
|z| <= 100
}
END FORMULA========================================================
START PARAMETER FILE===============================================
s_curve { ; 45 minutes at 100mhz, 640x480
reset=1960 type=formula formulafile=jim.frm formulaname=JulibrotInvZ
passes=1 center-mag=0.986183/0.601218/0.7013364/0.7171/90
params=1.007/0/2/1.3/0/0 float=y maxiter=10000 bailout=100 inside=0
logmap=yes symmetry=xaxis periodicity=10
colors=000JTqBFC<12>B32<30>akealf`kZ_jRZjJ<42>g`ug`ufat<34>TfnTfnUgm<41>\
qnm<7>19t<28>tP9<2>2vc<27>zna<7>IXw<4>JUr
}
END PARAMETER FILE=================================================
START 19.6 FILE====================================================
s_curve { ; 45 minutes at 100mhz, 640x480
reset=1960 type=formula formulafile=jim.frm formulaname=JulibrotInvZ
passes=1 center-mag=0.986183/0.601218/0.7013364/0.7171/90
params=1.007/0/2/1.3/0/0 float=y maxiter=10000 bailout=100 inside=0
logmap=yes symmetry=xaxis periodicity=10
colors=000JTqBFC<12>B32<30>akealf`kZ_jRZjJ<42>g`ug`ufat<34>TfnTfnUgm<41>\
qnm<7>19t<28>tP9<2>2vc<27>zna<7>IXw<4>JUr
}
frm:JulibrotInvZ {; Jim Muth
; Draws oblique slices of order n inverse Julibrot Figure
; P1 defines power of Z, P2 determines center of slice
; P3 determines angle of slice
z=pixel, c=p2+(pixel*p3):
z=(-z)^p1+c,
|z| <= 100
}
END 19.6 FILE======================================================
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times.
