; Date: Mon, 15 Sep 2008 18:25:44 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 16-09-08 (Field of Fractals [5.5]) ; ; Id: <1.5.4.16.20080915182656.2aef5730@pop.mindspring.com> ; --------- ; ; 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: ; ; ; ; 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|