; Date: Sun, 05 May 2013 23:59:38 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 05-05-13 (Lopsided Basin [8]) ; Id: <1.5.4.16.20130505235925.2ab7caee@earthlink.net> ; --------- ; ; FOTD -- May 05, 2013 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; Today's image lies in the parent fractal that results when the ; simple formula Z^(1.75)+C is iterated 9 levels up the multi- ; dimensional complex-logarithmic hyperspiral. This fractal ; consists of a large main bay split along the X-axis, with a ; prominent disconnected smaller Mandeloid lying some distance to ; the southeast. Today's scene lies in a valley in this smaller ; Mandeloid. ; ; The name "Lopsided Basin" refers to the unbalanced nature of the ; basin surrounding the central minibrot, where the iteration ; count and therefore the appearance of the fractal elements on ; the left and right sides are vastly different. ; ; The rating of an 8 includes a bonus for the coloring effort, ; though I'm not saying how much of the rating includes the bonus. ; ; The calculation time of 1-2/3 minutes will pass fast enough to ; keep boredom in the realm of remote possibilities. Boredom may ; be done away with altogether by viewing the image on one of the ; FOTD web sites. ; ; Accept the obvious. Fractals are great! For rational proof, ; check the official FOTD web site at: ; ; ; ; and if further proof is needed, check the high-definition ; renderings at: ; ; ; ; The ultimate in proof may be found at: ; ; ; ; where thousands of similar fractals are posted. ; ; Cloudless skies prevailed all day on the 4th and 5th here at ; Fractal Central, with a temperature of 72F 22C both days and ; gentle breezes. The fractal cat saw the sun outside and ; wondered why it failed to reach his shelf. The humans spent the ; 4th working and the 5th relaxing. ; ; The next FOTD will be posted soon enough to prevent withdrawal ; and with enough delay to prevent fractal overload. Until ; whenever, take care, and to me it seems as though we're so ; obsessed with political correctness that we have no way to even ; recognize the causes of our problems much less to accept the ; causes and rationally discuss possible solutions. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Lopsided_Basin { ; time=0:01:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+1.266621276199444/-0.148359824796705/\ 2.008047e+007/1/75/0 params=1.75/0/9/0 float=y maxiter=1800 inside=0 logmap=238 periodicity=6 colors=00050B60970780B90EA0HB1LC2OD3RE4VF5YG6`I7cK\ 8fMBhNEiNHjOKlONmPQnPToSXjU_fWbaYfY_iUalUcpUesUgvU\ isUkqZlocnmhommqmrrmvtmzumzvmzvmzvmzwmzwmzwmztkzqi\ zngzkeziczgbzeazd`zc_zbZzaYv`Xr_WmZVhYUcXSZWQ_VO`U\ NZSMXQMWONUMNTKORITQGQGFR6FRDFSAFS2JO3ML4QH5SE6UA7\ S78P39M0ALC8RO7S_6IRB9LG0IL7MEDY8Jh2Kc6L_9MWCMSFSO\ GYKGcGHhDHXPEL`C9kA5p51t0PpLlleEU0Dc5DcACcFCcKCbPJ\ eLPhIWkFamCgp9ns6tv3zw0zx1zy1zz2zz2AzHAzWAzj9zm8zo\ Qzjgzeyzaqz_izYzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzyzzxzzwzzvzzuzztzzszvriuohwjgwifw\ hcwh`rdYm`VmaSmcPmcMmcJmZDmZ7mZ2mZLmUbhQtZRfVSUQTG\ MP3RK`TF_UA_W6ZX6ZZ6Z_7Ya7Yb7YZDaVIeRNiNTmJYqFbtKX\ jPSaPHOOCEcBAh61i88jAFkBMlDTmF_nGfoImpJtiLpbNlWPiP\ ReISbL_hOfnQmsSMSUOUWQWYSY_TZaV`cXbeZzg_zi`zkazmbz\ mbzmczmdzmezmezmfzmfzmfzmgzrgzrgzrhzrhzrhzrizrizri\ zrjzrjzrjzrkzrkzrkzrlzrlz } 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|