FOTD -- May 06, 2002 (Rating 5) Fractal visionaries and enthusiasts: The parent fractal of today's image was created by the iterated formula Z^(1.8)+C, and is shaped like a rotated and perturbed version of the classic M-set. The image is located in a broken elephant trunk of the fractured East Valley area of the parent. I named the image "A Broken Minibrot" because of the spirals which are so obviously broken. The image is of average quality and rates an average rating of 5. The breaks in image continuity are unavoidable with fractional exponents of Z, and are caused by the multi-valued nature of the complex log function. But the same multi-valued nature is not all bad, since it makes the resulting fractals infinite both on the surface as well as in their depth. The 14-minute render time can be reduced to a minute or two by going online and downloading the finished image from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Though I took the day off on Sunday, the FOTD CD is progressing. A midsummer completion still looks likely, and anything worth having is worth waiting for. The all-important fractal weather Sunday here at Fractal Central was just what the fractal cats ordered. Well, maybe they didn't order it, but they certainly did enjoy it. Warm sun, light winds and a temperature of 68F 20C made conditions ideal for man and cat alike. Both the dynamic duo and myself spent a good part of the afternoon in the yard, the only diversion being when Tippy started rolling in the emerging catnip patch. Since all good things must eventually end, this day is just about on its last lap. It's near late-news time and I can't end the day without knowing the latest bit of bad news. So until next time on May 9, take care, and let's get some fractal into that fractal philosophy. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ A_Broken_Minibrot { ; time=0:14:36.56--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=+0.00817267703828271/+0.240493666992600\ 80/1.818109e+011/1/114.999944662658265/-1.10636886\ 913803578e-005 params=1.8/0/28.7/0 float=y maxiter=4500 inside=0 logmap=366 symmetry=none colors=0009F04D06F07F09F09G0AG0CG0DI0DI0FI0GJ0IJ0I\ J0JL0LL0LL0MM0OM0PM0PO0SO0VO0VP0WP0XP0XQ0YR0YS0ZS0\ ZS0ZS0YT0ZS0ZT1XV4VX7TYAQ_DP`GOaJLcMJdPIfSGhVDj_Cl\ aAmd7og6pj4rm1sp0us0vv0xy0yz0zz0zz0zz0zz0zx0zu0zr0\ zo1zl3zi4zfAzXGzOMzFSy6Yu0cr0do0fm0gl0gj0ii0jg0jf0\ ld0mc0ma0o_0pY0pX0rV0sT0sS1uQ3vP3xO4xM4yL6zI6zG7zF\ 7zD9zC9zAAz9Az7Cz6Cz4Dz0Cz3Dz6Dz9FzCFxFGuIGrLIoOIl\ QJiTJYSMaTLfVJjVIoXGsYGxYFz_Dz`Czg6zc9z`CzYDzVGzSI\ zPLzMMzJPzGSyDTyAXx7Yv4`u1as0dz0gs0fg0dY1cM4aA6fC7\ cC7aD9`D9YFAXFAVGCSGCQICPIDMJDLJFJLFILGFMGDMGCOI9O\ I7PJ6PJ3QL1QL0QL0OJ7LIGIGPGGgDFvADz3Cz6Dz9DzCDvDDo\ GDlJDgLDcOD`QFXTFTTFPTFLTFITFDTFATF6TF3YTSacu_foXi\ jTlfQo`OrXLuSIvOJvPJvPLvPLvQMvQMvQOxQOySPzSPzSQzTQ\ zTSzTSzVTzVTzVVzXVzXXzXXzYYzYYzY_z__z_`z_azY`z_`z_\ `z``z``za`za`za`zc`zc`zd`zd`zd`zf`zf`zg`zgMzJMzOLz\ QLzTLzXJz_JzcIzfGz4Dz3Cz1 } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END 20.0 PAR-FORMULA FILE==================================