; Date: Wed, 16 Jul 2008 23:08:28 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 17-07-08 (Eastern Lights [7]) ; ; Id: <1.5.4.16.20080716230851.28073974@pop.mindspring.com> ; --------- ; ; FOTD -- July 17, 2008 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Due to an excess amount of real work, the fun work of fractals ; was cut short on Wednesday. But I did find time to delve into ; the parent fractal that results when the formula Z^(1.875)+C is ; calculated 36 levels up the logarithmic ladder with the 'floor' ; function in effect. ; ; This parent fractal resembles a Mandelbrot set that has been ; put through a wringer. Its most interesting feature is a much ; smaller distorted Mandelbrot set just to the east of the main ; set. Today's image is located in the East Valley area of this ; mini-M-set, which curiously lies on the mini's west side. ; ; There is not much more to be said about the image, though there ; is much to be seen when viewing it. ; ; I named the image "Eastern Lights" because it's on the eastern ; side of its parent, and rated it at a 7 because that's what I ; think it's worth. ; ; The calculation time of a nominal 2-1/2 minutes may be avoided ; by viewing the finished fractal on the FOTD web site at: ; ; ; ; With added haze, higher humidity and a temperature of 88F 31C, ; Wednesday was a comedown from the previous day here at Fractal ; Central. The fractal-cat duo showed their displeasure by ; camping most of the day under the cool-air vent. ; ; My day was busier than I would have preferred. With any luck at ; all however, tomorrow, when the next FOTD will ne posted, will ; be an improvement. Until then, take care, and speak softly with ; nature. I hear that, at its smallest scale, it may well be a ; fractal. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Eastern_Lights { ; time=0:02:27.61-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=floor passes=1 center-mag=+0.786337062833908/+0.5106500816556531/\ 70165.7/1/40/0 params=1.875/0/36/0 float=y maxiter=2400 inside=0 logmap=175 periodicity=10 colors=000AAwAAtAApAAlAAhAAdAA`AAX8AU7AQ57M43N55L6\ 7M78Q8AP8BR9DTAEUBGVCHWCJYDK_EIbFNbGPcGJgHLcIMbJKa\ JI`KG_LEZMCYMAXKCVJETIGRHHPGJOELMDMKCOIBQGARFCTHDV\ JEXKFZMG_NHaPIcQJeSKgULhVMjXNlYOn_Po`WdVaUQhJKn9Fl\ BIjCLhDOfERdFTbHW`IZZJaXKdVLfTNiROlPPoNQrMRtKPrJOq\ INpGLoFKnEJmDIlGMkJPjMSiPVhUZgZafcdehgdmjcrnbvqazt\ `zw_zz_zwYztXzqWvnVrkTmhShfRccQ``PYYNWVMUSLSPKQNJO\ QKMTLKVMIYNG_OEbPDdQCgRCiSClTCnUBjYBg`BddBagHeZNiR\ SlJTkIUjIUjIViIWiIWhIXhIYgIYfIZfI_eI_eI`dI`dIgZRnT\ _tNhpPelRciT`eUZbWXZYUWZSS`PPbNLcLIeIEgGBhEDeHFbJG\ `LIYNJVQLTSMQUONWQLYRI`TFbUDdWAfX8hZAi`CibEjcGjeIj\ gKkhMkjOllQlmSloUmqWmrYmp_jo`gnbdmcakeZjfWihThiRfj\ OelLdmIcoFapC`r9_s6Zt4asAcsFfrKhrPjrUmqZoscquhtwmv\ xrxzwrzvmzvgzubzuXzuzztzztzztzzlzzezzYzzRzzJzzCzz4\ zz1zz2zz6zzAzzFzzJzzNzzKzzH_zEWzBSz9QzBPzCNzEMzFKz\ HJzIHzKGzLEzMDzOBzPAzR8zS } 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|