FOTD -- November 18, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: The chaos in today's image is awesome. (I think that's the currently trendy word to describe something that is very impressive.) The name "Awesome Chaos" is therefore fully justified. The image came about when I calculated the expression Z^(2.0075) at a level 17.2 steps up the complex logarithmic hyperladder, which would probably prove to be closer to a hyperspiral if we could comprehend higher dimensions. All this hyper stuff exists because the complex log function is multi-valued, which means there are an infinity of fractals that can result from an expression as simple as Z^(2.5). The parent fractal appears as a Mandelbrot set rotated 180 degrees so that the main spike points out to the east along the positive X-axis. Strange things are happening in this area, but in today's image we check the East Valley, which lies on the western negative X-axis and is broadened into a small wedge. Today's scene lies near the southern edge of the wedge blade, in an area where the chaos is near its maximum. The chaos here is in the form of herringbone arcs and crescents, several of which appear in today's image. The total chaos is so extreme that it actually detracts from the overall artistic effect, and holds the art rating to a 7. The math rating remains at a 6. Nothing new appears in the fractal math. The calculation time of 3-1/4 minutes borders on slowness, so why take a chance. Check the finished image on the web sites. Be thrifty, save time by viewing the finished image at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Lots of sun, a brisk breeze and a temperature of 57F 14C made for a rather pleasant autumn day here at Fractal Central. The new fractal cat Jasmine leaped onto the rim of the tub then lost her grip and slipped in, She spent a couple hours drying off. The old fractal cat Nicholas wondered how any cat could be so clumsy. The humans watched the action with amusement. The next FOTD will be posted in a not-too-long period of time. Until whenever, take care, and can something considered awesome also be considered groovy? Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Awesome_Chaos { ; time=0:03:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.253095984594/-0.006795518592/8276542\ /1/-57.5/0 params=2.0075/0/17.2/0 float=y maxiter=2750 inside=0 logmap=280 periodicity=6 colors=000DaVEbSJdQLdNNfJOgErCzmBrjAlfCfaI_YPWVTTS\ VMRaH000922C22G33N74UE6_M7fS9lYArdCCfyAMl7QaCURKaL\ 56PzzzzzzzzzzzwwzqsyilubfpV_nPUjGztPzrNzrNzqMwpLro\ HnmHgjFdjF`iDXiDSgAezzcxz`ttZplXodVlXRiMzzzzzzzzzz\ zzyyytusmrjgoa`lUUiKehZpfwqPzoDznCzlCzjCziCzhCzfCz\ dCzcCzaCz_CvXBrVAmQ9hL8cF7ZA6UH7ZO8cT9h_JleUjjcjon\ ournzwlzxqzxvzyyzeSzPCoSA_V7L_79fAAlEBaPWWYhRjzJwz\ CzZEb3G62D7AA9LADY8Fi9JtBLBBuCCrJHoQMlWPi`TffYdlcg\ nZgoUhpPipKirEktBltBloHijTgfbeffffpgczfvCzvUzwnzzz\ zzzzzzzzzzzzzzzzzzzxzvtznozejrWenPaiFXa7Wg9Ti9RtBM\ uIGoR6UW9JiBgt9gi9f_FgTPiKNgLSzhUzeUzcUzaQfVrzXUuR\ SpNRnKQjFVktUioThjTgfRVaTg_TgYTgUSTRQgLozzzpzznzzn\ zznzzmzzfzzozzuzzoztnzntzmrzot_nofmnellelkeqqqqqqq\ qqzzzzzzyyzyyzyyzyyzyyzyyzyyzzyzzyzzyzzyzzyzzyzzyz\ zvRzuPzzNzzMzzJzzIzzGzzWzzSzzRzzPzzNzzMzzJzzIzzGzz\ UzzUzzUzzUzzUzzUzzUzzUzzU } 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=========================================