FOTD 14-01-05 (Happy Anniversary [7])
FOTD -- January 14, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's piece of fractal art is a tiny part of the fractal that results when Z^(1.25) is subtracted from Z^(-0.75) before (1/C) is added. The parent fractal consists of two small Mandeloids surrounded by considerable fractal debris. Today's scene lies in the East Valley of the smaller Mandeloid. I named the image "Happy Anniversary". The name was whimsical. I have no anniversary that falls on January 14th. But the name is entirely appropriate, for the odds are likely that someone who reads this message will have some kind of anniversary on January 14th. When rendering the image, I set the outside to 'summ'. The result was an image worth a rating of 7. When the render time of over 12 minutes is taken into consideration, the overall worth registers a respectful 57. For convenience, the finished GIF image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may quickly be downloaded. Today's philosophical discussion appears in the philofractal version of this message. A damp, mostly cloudy day with light sprinkles on Thursday kept the fractal cats close to the house, but the temperature of 63F 17C lured them briefly into the thicket, where they managed a 10-meter journey. This adventure kept them as happy as old codger cats can be. Today is starting with heavy rain and flooding. It is also turning colder. The day will hold hazards for the dynamic duo. For me, it's work then fractal fun. The next FOTD will appear right here in three days on January 17. After that, it should be back to the daily FOTD schedule. Until then, take care, and be serene. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Happy_Anniversary { ; time=0:12:22.22--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.36380452105611450/-0.077315904189054\ 44/1.587035e+009/1/92.5/6.30355824760009398e-007 params=-1/1.25/1/-0.75/0/0 float=y maxiter=2000 inside=0 outside=summ logmap=265 periodicity=10 colors=0000A00E00I02M07Q0AU0EW0IY0M_0Oa0Pc0Pe2RgAR\ iITjPTkXVkdXmkXmrYmyYnz`oz`pzbqzdrzdszetzguzgvziwz\ ixzkyzkzzkzzkzzmzzmzzmzzmyznyznwznwznwznvzpvzptzpt\ zptzrrzrrzrpzrpzrpznnzmnzimzgmwdktbkpenk`kmXgnRdnO\ `pIXrETrAPt4Mv0Iv0Ew0Ay02z07y08y0Ay2Cy8EyCIyIKyMMy\ ROwXPw`TweVwkXwnYwt`wwbwzXyXCz00z00b008000200700A0\ 4C0CG0KK4RO8YPCeTAgVAgXAgYAg`Agb8gd8ge8gg8ii8ik7im\ 7in7ip7ir7it7ip8dn8`mAXkATiAPgCMeCIdCEeOIgXMiePinR\ mtknyzpzznwzmrzkkziezgYzeTzdMzbGz`8yY2vY0td2gi8VmE\ IrK4wP0zV0zT0zT0zR0zR0zP0zP0zO0zO0zM4zM7zKAzKCzIGz\ IIK0`M0dO0eP0iR0kR0nT0pV0tX0vY0yY0zV0zT2yREwRPvP`t\ OkrmcAb00V00P4AK8REAg8Ew2Iz0Kz0Pz0Tz0Xz0`z0dz0iv0m\ p0pk0te0w`0zV0zP0zK0zE0z80z40z80zC0zG0yK0tO4nR7kVA\ eYC`bEVeIPiKKmMGnPVwTgzXtz`zzXzzVzzTzzPzzOzzMzzIzz\ GzwEztAzr8zn7zm2zi0zg0zd0zb4zYCzVrz8tz0vz0wz0nz0gz\ 0`z0Tz0Mz0Ez08z04z00z00z0 } 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 PARAMETER FILE=========================================
On Fri, 14 Jan 2005, Jim Muth wrote:
Today's piece of fractal art is a tiny part of the fractal that results when Z^(1.25) is subtracted from Z^(-0.75) before (1/C) is added.
LITERALLY, that means z=Z^(-0.75) -Z^(1.25) +1/c, and it doesn't matter WHEN you add recip(c), so maybe Jim should lead his articles with something about the fractal cats, because that equation just doesn't fit into your formula, Mister Muth.
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