FOTD -- September 16, 2008 (Rating 5.5) Fractal visionaries and enthusiasts: The parent fractal of today's image is a routine Mandelbrot set that has been rotated about 180 degrees. But this M-set is anything but routine. To start, its formula is Z^(2.001)+C, and to finish, it has been calculated at a level 1.6 turns up the logarithmic hyper-ladder. Mandeloid fractals with fractional exponents of Z are usually intricately divided along the negative X-axis. In today's parent, the East Valley lies near the negative X-axis, so the East Valley area is where all the dividing takes place. The result is an image that bears no resemblance whatever to what one would expect in a scene from East Valley. In fact, the image bears no resemblance to anything in the classic M-set. It is something entirely new, almost like a fantastic flower garden. I named the image "Field of Fractals" and rated it a 5.5. I'm not totally satisfied with the coloring, so I couldn't rate it any higher. The calculation time of the included parameter file is 4-2/3 minutes, which is within reason. The image may also be seen and hopefully enjoyed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> After a breezy Sunday night, Monday was near perfect here at Fractal Central. The mostly sunny skies and temperature of 81F 27C were just what the doctor ordered. Extra treats were just what the fractal cats ordered, and they gave us no peace until we delivered the goods. Otherwise, my day was uneventful. The next FOTD will be posted in 24 hours. Until then, take care, and if the ultimate reality lies within, where does within lie? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Field_of_Fractals { ; time=0:04:39.87-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.2908010563418544/+0.001787407398163/\ 2.0987e+007/1/-46.25/0 params=2.001/0/1.6/0 float=y maxiter=4200 inside=0 logmap=350 periodicity=10 colors=000QccQcbRbaRa`R`_R`ZR_YRZXRZXSYWSXVSWUSWTS\ VSSURSUQTTPTSOTRNTRMTQLTPKTPJUOIUNHUMGUMFULEUKDTJC\ UKDULDUMDUNEUOEUPEUQEURFUSFUTFUUFUVGUWGUXGUYGUZHU_\ HU_HU`HUaIUbIUcIUdIUeJUfJUgJUhJUiKUjKUkKUlKUmLUnLU\ oLTrKUpLUoLUmLUlLUjLUiMUgMUfMUdMUcMUaMU`NUZNUYNUWN\ UVNUTNUSOUQOUPOUNOUMOUKOZJPdHPjGPoEPrDPoBQkCPgDPeD\ OcEObEOaFN`GN_GNZHMYHMXIMWJLVJLUKLTKKSLKRMKQMJONJM\ NJKOIIPIGPIEQHCQHARH9SG8SG7TG6TF5UF3TE5UF6VF7WF8WF\ 9XFAYGBZGCZGD_GE`GFaHGaHHbHIcHJdHKdHLeIMfINfIPgIQh\ IRiJSiJTjJUkJVlJWlJXmKYnKZoK_oK`pKaqLbrLcrLdsLetLb\ yUdwcevmfttgszhqzipzjnzkmzlkzmjznhvogrpemqdhwbcxf`\ ydZzc_za`z`azZbwYcvVdtRetRftRgvQgrQhsQitQiuPjvPkwP\ kxPlyOmyOmyOnyPoxQoxRpxSqxTqxUrxVsxWsxXtxYuxZux_vx\ `wxawxbxxcyydzxeywfyvgyvizukztmztmzsmzrmzrmzqmzpmz\ pmzomznmznmzmmzlmzlmzkmzjmzjmzimzhmzhmzgmzfmzfmzem\ zdmzdmzPmzQmzQmzQmzQmzQmz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-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=========================================