FOTD -- December 21, 2002 (Rating 6) Fractal visionaries and enthusiasts: December is supposed to be a month without quadratic midgets. This does not mean it is a month without near-quadratic midgets however. The midget at the center of today's image has in itself small imperfections that indicate it was generated by the formula Z^2.003+C rather than Z^2+C, so the quadratic-midget- free month continues. If yesterday's image had a bit of an art-nouveau feel about it, today's image looks like it came right out of 1898. What could I name it other than "Art-Nouveau Midget"? The image was generated by the MandelbrotBC1 formula, which calculated the parent fractal as it appears 1050 levels up the logarithmic spiral, where it is rotated 180 degrees, causing the negative X-axis split to fall on East Valley, which is now on the west side of the origin. I needed to go up 1050 levels because with the exponent so close to 2, the fractal changes very slowly as we depart from ground level. Today's arty scene is located in an area of fractured chaos at the edge of its parent's rotated East (or West) Valley, which is just starting to broaden and split. This area holds a horde of other midgets, many of which might be far better than today's. But it would take forever to track down all of them, and I have little time to spare. The image rates a 6, which is a little above average. It renders in 11 minutes, which is a little below average. And it downloads from the FOTD web sites in around one minute, which is always average. Those web sites may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Friday began mild and showery here at Fractal Central, but around midday the rain stopped, the breeze picked up and the sun appeared. The unusually warm temperature of 57F 14C lured the cats into the yard even before the grass, or what is left of it, had completely dried. By the end of the day their moods were actually pleasant enough to bring purrs. For me, the heavy work continues uninterrupted. And I also have a number of gifts yet to find. It's looking like I may have to miss a few days' FOTD's next week, but at least tomorrow's will appear on schedule. Until then, take care, and a fractal a day is one of the best ways to keep off that extra weight. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Art-Nouveau_Midget { ; time=0:11:09.54--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=-0.25343966708155350/-0.000713379914758\ 68/5.764397e+007/1/-120/-1.23560159825952809e-007 params=2.003/0/1050/0 float=y maxiter=2400 inside=0 logmap=350 symmetry=none periodicity=10 colors=00054G00B05G09K0EN0IQ0NT0QY0V`0Yd0bg0ej0Wd7\ P_GGTP7PBKY0Vg0en4bmL_m_WknTkzQjzNjz`vqmzexzkG0dI2\ YK4SL5LN5EP77Q90SB0TB0LP0D_04j00t20z00z00z00z00z00\ z00z00x02x04x05w07w09v0Bv0Dt0Et0Et0Gn2Gj7GeDG_IGVN\ IQSILWIE`I9eI4hI0dK5_LDVNKQPQLPWGQbBSh5Tn0Vt0Vx0Sr\ 0Qn2Nj4Ld5K_7GV9EPBBKD9EE77G42I20I00P00T00Y05b09g0\ Dk4Gn7IrDKvGNxKPzPQzSSzVVz_WzbYze_zj`zmbzqdztezwgz\ zgzzhzzjzzkzzmzzmzzqzzvzvzznzzgzz_zz`zz`zz`wzbrzbm\ zbhzddzd_zdTzePzeKzaEze9zb4zk0zn0zt0xx2vz5`zrTzrLz\ rBzr2zr0zr0zr0zw7wzKtzTqzbnzegxh_nkTdnLTqDIr55h7DW\ 9LLBS9DYBLdBShBYmDdqDjvDpzEvzEzzEzzBzz7lz4qr0km0ge\ 0`_0WT0T_2Qd7NhDamKGqPDvT9zY7zT5wQ4qL2kI2dD2Y92S42\ K02D02542B92GG2KL2PS2SW0Wb0_g0dm0hq0kw0pz2rz2wz2zz\ 9vzEqvKmqPjmTegY`bbYYgTSkPNpKItGBxB5z50z20z40z50z5\ 0z70z70z90z90zB0zB0zD0zD0zE9zGKzISzK_zLhzNpzPwzQzz\ SzzTzzTzzYzw`jzd`zYQzTGzN } 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==================================