FOTD -- May 07, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's bright, lacy image lies in the parent fractal that appears when the formula Z^sqrt(2)+C is iterated 52 levels up the topless and bottomless complex logarithmic ladder. This parent reminds me of a distorted Mandelbrot set with its west side facing southeast. Despite its odd shape, the open area at the center is a true midget, though there is certainly very little of a quadratic nature about it. Today's image is located in the northeast branch of what might be called Seahorse Valley, since it cuts off a very prominent period-2 bud. When I saw the image I rated at a 7 almost immediately. I have no logical explanation to offer for the name I gave the image -- "Iteration Quest". It sounds kind of interesting though, and might attract a few viewers. And speaking of attracting viewers, when I checked the FOTD web site today, I couldn't help but notice all the nameless images I have been posting for the past several months. Without names, these images are not going to attract many viewers. So from now on, regardless of how much or how little effort I put into the FOTD fractals, I will give every one both a name and a rating. Today's image takes over 41 minutes to calculate on my P200 machine. (There is no more P133 machine; it gave up the iteration last Thursday.) The 41-minute wait may be avoided by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the completed image there. Lots of sun and an only slightly cooler temperature of 66F 19C made Sunday a day to remember here at Fractal Central. The fractal cats may not remember the weather, but they will remember the dove that landed right outside their window. My day was unusually pleasant. Too bad every day can't be the same. The next FOTD will appear in 24 hours. Until then, take care, and don't dare turn a Klein bottle inside-out. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Iteration_Quest { ; time=0:41:26.86--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 float=y center-mag=+0.64378755423122760/-0.059667482551642\ 40/8813122 params=1.4142/0/52/0 maxiter=16000 inside=0 logmap=879 periodicity=10 colors=000jzzizzhzzgzzfzzeyzdyzcxzaxzZwzWwzTvzQvzN\ uzKtzIszGrzErzCrz9rz8rz6rz4rz2rz0rz0rz000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000040020000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000040090\ 0G00K00R00W00b00j00o00w00z00z02m08Y0EK0K80R00Y00d0\ 0j02o04m04m04m06m06m06m08m08m08m09m09m09m0Cm0Cm0Cm\ 0Em0Em0Em0Ej0Cg09U00G00400G0EU0Gg0Ij4Nm4Nm6Nm6Pm8P\ m9Pj9RjCRjCRj8Uj0Uj0Uj00E00000E0Yj8YjUYjr_jz_jz_jz\ bjzbjzbjzdjzdjzdjzgjzgjzgjzjjzjjzjjzmjzmjzmjrmjgmj\ gomgoodrrdruduwbuzbwzbwzbzz_zz_zz_zzYzzYzzYzzWzzWz\ zWzzYzzWzzWzzWzzWzzWzzWzzUzzUzzUzzUzzUzzUzzRzzRzzR\ zzRzzRzzRzzPzzPzzPzzPzzPzzRzzPzzPzzPzzPzzPzzNzzNzz\ NzzNzzNzzNzzKzzKzzKzzKzzKzzKzzIzzKzzNzzPzzRzzUzzWz\ zYzz_zz_zz_zzbzzbzzdzzdzz } 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 PARAMETER FILE=========================================