FOTD -- January 10, 2003 (Rating 7) Fractal visionaries and enthusiasts: To produce today's fractal, I took most of the 1's in the formula of yesterday's fractal and changed them to 2's. I had no mathematical reason for doing this, I did it only for fun. (I could not simply change the 1's in yesterday's real(p3) parameter to 2's because doing so would have produced an inferior fractal.) When all the number-changing was finished, I had created another oversized area of chaos, this one with its main Mandeloid well beyond the borders of the default screen. This Mandeloid resem- bles a nearly perfect M-set. Today's scene is located in one of the rays radiating from a larger midget, which lies just beyond the tip of the main stem of the large Mandeloid. Thanks mostly to the strong coloring, the image rates a 7. I named the image "Two Satellites" when I noticed the two prominent areas in the corners of the image, which obviously hold still smaller midgets that are beyond resolution. The render time of 7 minutes is fast enough, but downloading the finished GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> will leave more time for other things. Thursday was an exceptional day here at Fractal Central. How often does a day come in the middle of winter, with almost hot sunshine and a temperature of 63F 17C? . . . Once every two or three years? The dynamic cats took advantage of the unusual conditions by spending almost the entire afternoon in the yard, trying to ignore the remaining puddles and mud. Needless to say, their moods were as exceptional as the weather. Today is starting sunny but colder. It will be harder for the dynamic ones to stay happy, but they are already eager to get outside and give it a try. And as always, I have a few tasks to finish, so until next FOTD, take care, and I wonder where I could find a Klein bottle. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Two_Satellites { ; time=0:07:21.10--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-7.38358917092518/+20.54585830913693/6.\ 4431e+009/1/-122.5/-0.00244863563439755294 params=2/2.2/-2/-2.22/-1.3/0 float=y maxiter=1200 inside=0 logmap=157 periodicity=10 colors=000D9AC0FA3L99P7FT6L_4Qc3Vg1`l0fr0lv0rz0vz0\ rx0mp0ji1fc3aX4_P6VI7SC6I7474301A34I66P97XC9cFAjJC\ rMDyPFzSGzVIzcAzi4zo0vs0sz0ry0rr0rm0rl0pj0pi0pg0pf\ 0pd0oc0oa0o`0r_0uY0xX1xT0xQ0pO0iL0`I0TF0M70OA0PF0Q\ L4SP9TVFV_JXdOYiT_oY`scaygczmdzrdzv_zuTzuPxsJrsFms\ 9gr3ar0Yp0Sp0Op0Jr3Gr9DrGArM7rT4r`1rf0rm0rs0rl0gd0\ YY0PQ0FJ16C30440A60G60L60Q60X60`60f60l60p60v60z60z\ 60y40s30m16g0Ca0GX0MQ0SL0YF0aM0cS0dY1fc4gi7io9juCl\ zFmzGmxPjpYgifd`maTv_MzXFzVVzTizSyuQzoPmpFPr40s04v\ 07x3Ay6Dz9GzCLzFOzIQzLTzOXzQ_zTXy_VldS`jQOpOCvM0zL\ 0zM0zMAvMMpMYlMifMuaPs`Ss_TsYXsXYsV`rVarTdrSfrQirP\ jrPrdaxSozFzz3zz1zz0zz0zz0zz0xz0ux0pv0mu0js0fr0cp0\ `o0Yg6daMlXasTfpSimPmjOpiMrmMusMxxMyzQxsTvjXuc_sVa\ rOcmPciPddPd`PdXPfSPi1zm0zr0zv0zz0zy0zx1zv6zuAzsFz\ rJzpMzoQzmVzl_yjcxigvijvjmpjpjlsflv`lxXmzQmzLozG9z\ LAzICzFDzAFz7Gz4Iz1Jz0Gz4 } 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==================================