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: <http://www.crosscanpuzzles.com/Archives.html> and if further proof is needed, check the high-definition renderings at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The ultimate in proof may be found at: <http://www.Nahee.com/FOTD/> 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|<a } END PARAMETER FILE=========================================