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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's FOTD picture has a prickly feel about it. It seems rather thorny in overall appearance, all of which justifies the name I gave it -- "A patch of Briars". My first impulse when I saw the scene was to name it something like "Barbed Wire", but the briar patch name won out because of its more poetic sound. The fractal formula that drew the image is surprisingly simple -- -0.8(Z^1.5)-0.8(Z^(-0.5))+(1/C), which was calculated as usual by the M-Mix4 formula. The finished product was livened a bit in a graphic program. The parameter file runs in a bit under 3 minutes, leaving it up to the viewer to decide whether the easiest way to see the FOTD is to run the parameter file or to download the GIF image from: The fractal weather today was perfect, though some showers passed close by during the afternoon. The partly cloudy skies and temperature of 84F (29C) were just what the cats ordered. There's good news for philosophy fans -- my muse is once again speaking. It will take a day or two to fine tune the composition, but the topic is already determined. Actually, it was a letter that appeared earlier Saturday on the philofractal list that supplied the inspiration. For the moment my calendar clock tells me that it's Saturday evening, and two of my favorite shows will soon be on TV -- 'Red Dwarf' and 'Doctor Who'. So I've got to hurry and shut down the fractal shoppe to settle into my overstuffed chair for a late evening of TV viewing. Until tomorrow, take care, and for the life of your fractal, don't turn off that computer. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
A_Patch_of_Briars { ; time=0:02:40.34 -- SF5 on a P200
; Version 2000 Patchlevel 9
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.76022595650848300/+1.14392397091661000\
/4403963/1/119.999 params=1/1.5/1/-0.5/-1.8/0 float=y
maxiter=1400 inside=0 logmap=46 periodicity=10
colors=000dXpbXnfYqkYtn_xqazwbzzdzzdzzazwYxsVsnQnkLk\
<3>Y8RV2OR0JO0EL09I06N09<2>X0G_0Ib0Jf0Li0Ol4QsDRzJTz\
QX<2>ziazQYzEXqJViGTaDQ<2>DDL0DJ0DV0Df0Dp04z00z20z9B\
zIDzODzVDzaDz<2>pEzt6tz0px2kx8gxDbxI_xNVwRRwXNw_JwdE\
wiBtn6ts2tx0tz0<2>sz0sw0sp0si0sb0qX0<3>q60q00gE0<2>E\
q24z40z60z91zB<3>EzLIzOLzQOzTRzVOzR<2>JzNIzJGzI<2>Bz\
B9z98z86z64z46z26z18z1<16>9z09z09z1<4>9z19z19z69z1<3\
>9z29z29z29z29z29x2<3>9x29w29w49w49w49t4<3>9t49s49s4\
9s49s69q6<3>9q69p69pD9pJ9pQBqX9pb9pi9pp9pp9pp9pn9pn9\
pn9pl<3>9pk9pk9pi9pi9pg<3>9pf9pf9pd9pd9pd9pb<2>9pa9p\
a9p_9p_9p_9pY<3>9pX9pX9pV9pV9pV9pT9pT9pR<3>9pQ9pQ9pO\
<3>9pN9pN9pL9pL9pJ<3>9pI9pI9pG9pG9pG9pE9pE9pE
}
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==================================
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