; Date: Sat, 17 Nov 2007 22:26:27 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 18-11-07 (Zexpi Minibrot [4]) ; Id: <1.5.4.16.20071117222802.2f3757d4@pop.mindspring.com> ; --------- ; ; FOTD -- November 18, 2007 (Rating 4) ; ; Fractal visionaries and enthusiasts: ; ; I had one of those days Saturday where I just couldn't find a ; worthwhile fractal no matter how far I looked. I finally ; settled for the image that appears as today's FOTD, but even ; though it appears as an FOTD, I could honestly rate it no better ; than a 4. ; ; The image takes us on a trip to the Zexpi fractal, which is what ; I named the fractal with an exponent of Z equal to PI. We check ; the fractal as it appears 4 levels up the logarithmic ladder, ; where it resembles a comical little clown with his head facing ; southwest. Today's scene is located on the sole of the clown's ; left foot. ; ; The only thing not totally ordinary about the image is the fact ; that a good part of it consists of 'inside' stuff made visible ; by the 'fmod' inside fill. ; ; I named the image "Zexpi Minibrot", which is simply its descrip- ; tion. The calculation time of just under 3 minutes stretches to ; around 14 minutes on the 200mhz machine -- hardly a bargain. ; But relief is waiting on the FOTD web site at: ; ; ; ; where the finished image is posted for instant viewing. ; ; A cold, cloudy day threateneing rain or snow made no one happy ; here at Fractal Central on Saturday. The fractal cats spent the ; day on their shelf by the window, bravely enduring the unpleas- ; ant conditions. ; ; My day was average -- enough said. The next FOTD will appear ; in 24 hours. Until then, take care, and how many Mandelbrot ; sets exist at this moment? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Zexpi_Minibrot { ; time=0:02:40.43-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=floor center-mag=+0.17206725258491350/+0.675860279367873\ 30/33541.71/1/-57.5/-1.49841909713e-010 inside=fmod params=3.14159265358979/0/4/0 float=y maxiter=1800 proximity=0.09 logmap=yes periodicity=10 colors=000000000000000000000000000000000000deYbhYa\ kY`mYg8Gj9DlABoB9qC7sD5rC7qC9pBAoBCnAEmAFl9Hl9Ik9K\ j8Mi8Nh7PC6Ff6Se6Ue6VM2WL3UK3SJ4QI4PH5NG5LF6KE6ID7\ GC7EB8DA8B9998987CI6FS6Ia5Lk5Ot7Rq8Ur9XsAlkBriCxgF\ rbHmYJhTLbONYJPTER_tTSDVSDA_tYSC_SCaSBA_tAbuAevefI\ enMeuPgrOioOklOmjOogOqdOrbOrYKrTGrPCrK8rF4rB0pD3oE\ 5nG7mH9kJBjKDiMFhNIgPKeQMdSOcTQbVSaWU`TV_QV_OWZLXZ\ IXYFYYDYbIXgMWlRVqVVo`PmfKklFirAhx5fu7er8co9blA`iB\ _fDYcEX`FVYGUVHSSJRPKPMLDOFGMIJJLMHOPFQTDTWBWZ8Za6\ ad4dg2gj0ie4ha7hXAhTDgOGgKJgGMgILeJLcKKaLK`NJZOJXP\ IWQIUSHSTHRUGPVGNXFMYFKZEI_EHaIJcMKePLgTNiWOk_PmcR\ ofSqjTrmUpkRniPlgNkeLicJgaHe_EdYCbWA`U8ZS6YR4kKLyE\ `qzTmvUirVeoWakWZhXVdYRaYNYZKV_GR_CO`8Ka5Ha6F`7E`8\ D`9B`AA`B9`C7`D6`E5`F3`G2`H1`H0`K4aN7bQAbTDcWGdZJd\ aMedPecQgbRhaSiaTj`Uk_Vl_VmZWnYXoYYpXZqW_rW_sR`mNa\ hJbbFcYBdS7eNTOCgEMv4Wt7X } 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|