; Date: Mon, 18 Nov 2013 16:08:32 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 18-11-13 (Awesome Chaos [A-7,M-6]) ; Id: <1.5.4.16.20131118160212.2a072702@earthlink.net> ; --------- ; ; 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: ; ; ; ; ; ; ; ; ; ; 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|