FOTD -- May 28, 2004 (Rating 5) Fractal visionaries and enthusiasts: The combination of an unusually heavy work load and a balky computer has once again put me behind in my work, so today's discussion will again be brief. For today's fractal I decided to move in close-up to study a midget of the order 1.5. The parent fractal is an unimpressive thing that appears to spiral around the origin, with a prominent discontinuity along the positive real axis. The shoreline of this parent is lined with irregular buds. Today's scene is located on the inside of the northern branch of the valley of a small bud on the eastern edge of the parent. To be sure I captured all of the midget, I raised the maxiter to 500,000. Even with such an extreme maxiter, it still appears that the midget is not quite fully defined, but with a render time approaching 4 hours, the present maxiter will have to suffice. The midget itself is typical of midgets in this range, showing little tendency to develop the semi-chaotic patterns around it that make quadratic midgets so attractive. In fact, there is almost a feeling of 'anything can happen' about the scene. An orbit check shows that the entire scene has a periodicity of 3, with but minor variations in the different areas of the midget. I have not checked the Julia aspect of today's scene, though it is certainly equally disorganized. I named the picture "A Fractal Study" because that's what it is. Actually, I studied the image very little. I simply started it going and let it calculate for four hours while I worked on the balky machine. The rating of a 5 could be a gift or a robbery, depending on one's view. The extreme render time drags down the overall value to an abysmal 2. But all is not lost, for I have sent the finished GIF image on ahead to Paul, and it will soon be posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> ready for immediate download. Both Wednesday and Thursday were quite warm here at Fractal Central, with brief showers both evenings. On both days the fractal cats managed to hold off the hordes of cicadas long enough for a few restful hours in the shade of the holly trees. Today is starting partly cloudy and slightly cooler. The cats have not yet decided what kind of day they will have. If I catch up in the work, today could be restful for me, but that will take quite a bit of effort. Until next FOTD, take care, and despite all appearances to the contrary, we could all be part of a big hologram. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ A_Fractal_Study { ; time=3:43:15.29--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=t center-mag=+1.32928740683383100/+0.164093949176507\ 60/76478.92 params=1.5/0/0/0 float=y maxiter=500000 inside=0 logmap=1040 periodicity=10 colors=000WOVa`Ub`Uc_UdZTeZTfYTfZSgYTgXUgWVhVWhUXh\ TYiSZiS_iR`jQajPbjOckNdkMekLflLglKhlJimIjmHkmGlnFm\ nEnoFmnEnnDnmDnmCnlCnkBnjBniAnh9ng9nf8oe8od7oc7oc6\ ocUUccUccUccUccUcOUcUUccTccScUScURcURcPQccQccPccPc\ UOcUNcUNccMccMccLccLcKKcKKccJccIcbIbaHa`H``G`_G_ZF\ ZYFYXEYXEWVHUTJSRLQPNONPNLRLJTJHVHFXFDZ97gEC`IHVMM\ PRRJVWD``6Z_7YZ7XY7WX8VW8TW8SV8RZ9QT9PS9OS9QTCRTFS\ UHTUKVUNWVPXVSYVVZWX`W_aXabXdcXgdNifYlgYohZqiZtlYx\ jZviZthZrfZpeZnd_lc_ja_h`_f__dZ`bX``W`ZV`XU`VSaURa\ SQaQPaONaMMbKLbIKbGIbEHbCGcAFc8Dc6Cc4BcAAeKBgUAiaA\ kaAmaAo`Aq`Fs`Ku`Pv_Uv_Zu_cu_huZmuZrtZwtZwtYwsYwsY\ wsYzrXzrXzrXzrXzqZzp_zo`znazmczldzkezjfzihzhizgjzf\ kzemzdnzcozbpzarz`sz_tzZuzWwzYvz_vzawzcxzeyzfzzhzz\ jzzlzzmzznzzozzpzzqzzrzzszztzzuzzvzzwzzxzzyzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(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==================================