; Date: Thu, 10 Jan 2013 18:14:55 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 10-01-13 (Something New [7]) ; Id: <1.5.4.16.20130110181419.38576526@earthlink.net> ; --------- ; ; FOTD -- January 10, 2013 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today's image lies in the fractal that results when the formula ; Z^(1.5)+C is iterated 379.2424085207679 levels up the complex ; hyperladder with no function applied. The odd number of levels ; indicates that the value was set at random by Fractint's evolver ; feature. A very similar image could have been found with a far ; simpler value, though I lacked time to search for it. ; ; Actually, the complex logarithm has an infinity of values, but ; this does not mean that an infinite variety of fractals is ; possible. The fractals change in a circular manner as the value ; of 'k' in the complex log formula is changed, and soon begin ; repeating. ; ; I named today's image "Something New". I have never before seen ; features quite like the dark blue ones in today's image. The ; filaments extending from them resemble those extending from ; everyday Mandelbrot buds. And the filaments in the image have ; identical mini dark blue mini-features lying along them. ; ; The rating of a 7 is average. The artistic value is not that ; great, nor is the mathematical interest. Extra coloring effort ; might have raised the rating a half point or so however. ; ; The calculation takes 2-1/2 minutes to finish. Significant time ; may be saved by viewing the finished image on one of the web ; sites. ; ; The finished image is posted online at: ; ; ; ; High definition variations are or soon will be online at: ; ; ; ; Back images may be found at: ; ; ; ; Near total sun with a temperature of 45F +7C made today ; unusually pleasant for the time of year. The fractal cat ; enjoyed the sun; the humans enjoyed getting the work finished. ; ; The next FOTD will be posted in a day or two. Until whenever, ; take care, and the surest sign of a dysfunctional group is when ; its members begin fighting among themselves instead of working ; together to solve their common problems. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Something_New { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident inside=0 center-mag=+1.52637522907494/+0.5716577695720915/\ 1.263153e+009/1/-90/0 params=1.85/0/379.2424085207\ 679/0 float=y maxiter=3600 logmap=381 periodicity=6 colors=000E7SF8TG9UHAVIBWJCXKDYLEZMF_NG`OHaPIbQJcR\ KdSMeVOeZQeaSfeVfiXflZgp`gvYbt`esbgrejpglojopkrolq\ nlqmlqllqklqklqjlqilqhmqgmqgmqfmqemqdmqcmqclwcmqcm\ kcnecn`cnVcoPcoJfrGdpFcoEanD`mCZlBYjAWi9Vh8Tg7Vf4S\ f6Re5Rd5Rc5Rb5Qa5Q`5Q`5Q_5QZ5PY5PX5PW5PV5Ya2PV5GO8\ WBG7HABJBFKCJLCNMDQNDUOEYPEaQFdRFhSGlTGpUHxJLuPJsV\ Hq`GofErlDvrBzz8vwAruBnsCkqEloFmlGnjHnhJofKpdLpbMo\ _IkZHhYGeXFbWF_VEXUDUTDRSCORBLQBIPAFO9CN9AQ89T78V6\ 7Y56_45b34d23g12i06h6AgCDgIHfOKeTOeZRddVcjYcoV`kTY\ gRVcPT`NQXLNTJLQGIMEFICCEAAB877643420GWBES9CP8BM79\ J68G56C4493362131iBHeAFb9U_8UW7UT7UQ6UN5UJ4UG3UD3U\ 92K61K30KKTKSEKFNKCJKAFc7Bc57c23cGMm8BmJYmHVzGTzFR\ zEPzDNzBLzAJz9Hz8Ez7Cz5Az48z36z24z12zIYzGUzEQzCMzA\ Iz8Fz6Bz47z23zKKzq`zlXzfTzaQzWMzRIzLEzGBzA7z53z1zz\ 0qz0hz0_z0Rz0Iz09zGazEZzDWzCTzBQz9Nz8Kz7Hz6Ez4Bz38\ z25z12zVrzRlzOgzLazIXzFRz } 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|