; Date: Sat, 21 Dec 2002 10:07:25 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 21-12-02 (Art-Nouveau Midget [6]) ; Id: <1.5.4.16.20021221100951.29bf489e@pop.mindspring.com> ; --------- ; 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: ; ; ; ; and at: ; ; ; ; 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 PARAMETER 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|