FOTD -- January 29, 2005 (Rating 4) Fractal visionaries and enthusiasts: With today's image we return to that old warhorse, the overused MandelbrotMix4 formula. But the return is not a noble one, for we have again fallen below fractal average. Try as I might, I could rate today's "Copper Terraces" image, with its muddy terraces, no higher than a 4. The formula that wreaked this minor havoc combines portions of Z^(-1.2) and Z^(2.1) before adding C. I tried to add a little interest by rendering the scene with the inside set to 'bof60' and the outside set to 'fmod', but the improvement was minor. In the end I decided to be stoic and post an image that was not up to FOTD standards. After all, this is hardly the first time a deficient FOTD image has been posted. Thankfully, the image renders in under 6 minutes on my machine, which must be a decade old. In the computer world, this is about as state-of-the-art as a cave-man. On a modern unit, the image will render in a minute or so. And if even one minute is too slow, the completed image can be downloaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A bit of philosophical rambling is included in the philofractal version of today's message. The sun was bright, but the cold temperature of 23F -5C and the solidly frozen snow pack kept the cats confined to the porch all day Friday here at Fractal Central. When evemnong came, they demanded extra tuna. Today is starting with hazy sun, cold temperatures, and snow again in the forecast. I suspect the duo will not enjoy the outside conditions. I have a little work to finish and a lot of fractal exploration to do. Until next time, take care, and don't fear the dark. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Copper_Terraces { ; time=0:05:46.15--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.84253097446520620/-0.105017701083716\ 60/3.373927e+007/1/87.5/6.71509495994704331e-008 params=-0.25/-1.2/0.5/2.1/0/0 float=y maxiter=1200 inside=bof60 proximity=1 outside=fmod periodicity=10 colors=000KyfVDlUGlTJkSMkRQjQTjOWiNZiMbhLehKhgJkgH\ offCvHofGpfFqgErgDsgCthCthBuiAvi9wi8xj7yj6yk7yk9yk\ BxkDwkFvlHvlJulLtlNslPrmUpmZmmcjlhhlmekrbks_jp`gq_\ frZdsXesWbsUYsTWtRTtPRtOPuMMuLKuJHuIFvGDvFAvD8wB5u\ E8tF9sG9rHAqIAoJBnKBmLClMCkNDiODhPEgQEfRFeSFcTGbUG\ aVH`WH_XIYZJXfOWnUrsFrtEquDrqItlOvhUxc_zZeub_q`ZnZ\ YjYXgWWcUV`TUXRTUPTQOSNMRJKQGJPCHO9FN5DM9HN9JN8LN8\ NM8PM7RM7TM7VL6XL6_L5aL5cK5eK4gK4iK4kJ3mJ3oJ2rI2rI\ 2qI0qH2pH2pG2oG2nF3nF3mE3mE3lD3kD3kD3jC4jC4iB4hB4h\ A4gA4g94f95e87a89Y7EYDKYJQXQWXWaXagWheXhcYgaZf_`eY\ aeWbdUdcSebQfbOgaMi`Kj_Ik_GmZEnYCoXAqWBoXCmYDj_Eh`\ GebHccI`eJZfKXgMUiNSjOPlPNmRKoRKnRKmRKlRKjRKiRJhRJ\ fRJeRJdRJcRJaSI`SI_SHYSHXSGWSGVSETSESSDRRDPQCOPCNO\ BLNBLMBKLBJKBIKAIKBHLCGMDFNEEOFFPGFQHFRIFSJFTKFULF\ VMFWNFXOFYPGZQI_RK`SMaUObWQcYSd_UeaWfcYge_hgaiicjk\ ekmgloimqjnrjosjptjqujrvj } 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=========================================