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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I think this is the first time I have used the JuliaMixRecip formula, which I wrote a number of years ago to calculate the Julia sets of the c=recip fractals drawn by the MandelbrotMix4 formula. The JMR formula does this, though in a rather laborious way. Today's iterated expression starts with Z^(-1.5), combines it with 1/4 as much Z^(-6.5), then adds (1/C). The resulting parent Mandeloid fractal is one of the typical indescribable things created by negative powers of Z, with the usual array of circular disks and zig-zag curvy filaments. Today's Julia set is associated with a valley of its corresponding Mandeloid. From the looks of the image, I would assume the valley is of the Seahorse variety. I put very little effort into the image, so I do not consider it worth a name or rating. The render time of over 16 minutes is true on my ancient fractal computer. On a more up-to-date unit, it will finish in a couple minutes. The most efficient way to see the image is to download it from the FOTD web site at: With the inside heat back on and the outside temperature at 57F 14C, Wednesday proved pleasant for the fractal cats. The snow is still piled deep however, so they did little exploring. My day was quite busy, a condition that will prevail for several months to come. The next FOTD will appear in 24 hours. Until then, take care, and be consistent. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
FOTD_for_16-02-06 { ; time=0:04:35.17--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=JuliaMixRecip passes=1 periodicity=10
center-mag=0.803292/0.592572/8.083552/1/25/-5.0501\
269832637e-014 params=1/-1.5/0.25/-6.5/5.383/-0.082
float=y maxiter=1000 inside=0 outside=tdis
colors=000RZqS`pSbpSdoTfoThnUjnUlmUmmSkjRihQgfPecO\
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GAcAFW4KOAOLGSJMVHSZFYbDbeBadEacGacIabLaaN`aP``R`_\
U`_W`ZY_Y__Yb_Xd_Wf_WhZTc }
frm:JuliaMixRecip {; Jim Muth
z=pixel, c=p3,
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2):
z=(a*(z^b))+(d*(z^f))+(1/c),
|z| <= 100 }
END PARAMETER FILE=========================================
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times.
