; Date: Sun, 03 Jan 2010 23:34:52 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 04-01-10 (Minibrot Confusion [No rating]) ; Id: <1.5.4.16.20100103233519.225f11f2@pop.mindspring.com> ; --------- ; ; FOTD -- January 04, 2010 (No Rating) ; ; Fractal visionaries and enthusiasts: ; ; Today's image lies in the fractal that comes about when the ; formula Z^(1.56)+C is calculated 30 levels up the complex ; logarithmic ladder with the 'floor' function applied. I think ; this function gives the most accurate calculation, though many ; other functions also create interesting fractals. ; ; The parent fractal resembles a fat opening quotation mark. ; Today's scene is located in the east valley leading to a large ; bud on the southeastern shore line of the main bay of its parent. ; ; The image shows an unusually impressive minibrot with a ; satellite minibrot close to its lower right shore line. I have ; not checked this satellite, though I doubt that it equals the ; main minibrot. ; ; Since minibrots are old stuff, I gave the image no rating. The ; name "Minibrot Confusion" refers to the chaotic pattern filling ; the frame. ; ; The calculation time of 5 minutes requires a bit of patience. ; Those with no patience or over-qualified machines may view the ; finished image on the FOTD web site at: ; ; ; ; On Sunday, FL asked me why I so often seem to be upset about ; something. It took nearly three hours to answer her question, ; and I think she dozed off during the third hour. Maybe I'll ; write an article about the things I am dis-satisfied with in the ; world. ; ; Heavy clouds, intermittent light snow, a blustery wind and a ; temperature of 23F -5C made Sunday a day to be indoors here at ; Fractal Central in central Pennsylvania. The fractal cats, ; definitely not of the Cheshire variety, had no smiles for the ; outside conditions. They spent the day seeking the warmest ; place they could find. ; ; My day was largely spent in rather futile discussion, but I feel ; I might have made just a tiny difference. And tomorrow is ; 'back-to-normal' day. The next FOTD will be posted in 24 hours. ; Until then, take care, and you cannot possibly do all of it by ; yourself. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Minibrot_Confusion { ; time=0:05:06.70-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=floor inside=0 center-mag=+0.3509677418/-0.5390467156/46683.71/1\ /180 params=1.56/0/30/0 float=y maxiter=32767 colors=000FDkFDkEEjEEjEEiEFiEFhDEiEFhEGhEHgFIgFJgF\ KfGLfGMfGNeHOeHPeHQdIRdISdIScITcJUcJVbJWbKXbKYaKZa\ L_aL``La`Mb`Mc_Md_EeuIdjMd_PdPTdEWd4Vc7Vc9VcBVbDVb\ FVbHVbJUaMUaOUaQU`SU`UU`WU`YT_`T_bT_dTZfTZhTZjTZlS\ YjRYiQYhPYgPXfOXeNXdMXcLWbLWaKW`JW_IVYHVXHVWGVVFUU\ EUTDUSDURCTQBTPATOATN8OQ7JT6FW5AZ45a31d53d64d86d97\ dB9dCAdDCdFDdGFdIGdJIdLJdMLdNMdPOdQPdSRdTSdVUdWVdX\ WdZYd_Zda`dbaddcdeddffdhgdiidkjdlldnndopdpqdrsdsvd\ uydzzdyzcxxdwwdwvdvuduteusetrespesoernfqmfqlfpkfpj\ gohgnggnfgmegldhlchkbhj`hj_iiZiiYihXigWigVjfTjeSje\ RjdQkcPkcOkbNk`IpaKmbMkcNidPfdRdeSbfU_gWYgXWhZTi_R\ jaPkcMkdKlfImhFniDnkBom8UCUUDUUEUUFUUGUUHUUIUUJUUK\ UULUUMUUNUUOUUPUUQUURUUSUUTUUUUVUUWUUXUUYUUZUU_UU`\ UUaUUbUWcTXdSYeRZfQ`gPahObiNcjMekMclMamM_nMYoMWpMU\ qNSoOQmPOlQPmRQmRRmRSmRTnRUnRUnRVnRWnRXoSYoSZoSZoS\ _oS`pSapSbpScFCmFCmFClFDl } 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|