; Date: Mon, 19 Sep 2011 23:43:45 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 19-09-11 (Primed for Growth [7]) ; Id: <1.5.4.16.20110919234350.14475d5a@pop.earthlink.net> ; --------- ; ; FOTD -- September 19, 2011 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is named "Primed for Growth". Don't get excited ; however. The name refers to the fractal, not the economy, which ; is stuck in the doldrums and will likely remain there for the ; foreseeable future. ; ; Actually, the fractal has grown as far as is presently possible, ; so it can hardly be called 'primed for growth'. In fact, the ; magnitude of the image is already a little beyond the limit of ; resolution. ; ; The parent fractal came about when I iterated the expression ; Z^(2.15)+C at a level 2 turns up the complex-logarithmic ; hyperspiral with the 'recip' function applied. This parent ; appears as a Mandeloid rotated so that its main spike points ; south. The most notable feature however is a smaller totally ; cut-off Mandeloid just west of the main one. Today's scene is ; located deep in the East Valley of this cut-off Mandeloid. ; ; The rating of a 7 might be more wishful thinking that actual ; fractal worth. We have seen many superior images in recent ; weeks. ; ; The calculation time of 2 minutes is a real bargain, so why not ; run the included parameter file and enjoy the result. ; ; Check the finished image at: ; ; ; ; and escape the task of running a parameter file. ; ; See the high-definition version at: ; ; ; ; The traditional FOTD web site may be accessed at: ; ; ; ; Today brought a mixture of sun and clouds to Fractal Central. ; The temperature of 66F 19C was comfortable enough for the ; fractal cats, who spent an unusual amount of time watching for ; passing stray cats, none of which ever appeared. The humans had ; a typical day, which means nothing out of the ordinary happened. ; The next FOTD will appear in 24 hours, and it most certainly ; will be an event worth noting. Until then, take care, and if ; anyone can determine what's wrong with the world, please let me ; know. My best guess is that there are too many people living on ; the planet. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Primed_for_Growth { ; time=0:02:09.57-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip logmap=346 center-mag=-0.8880134461033687/+0.1672559185329798\ /4.03156e+012/1/115/0 params=2.15/0/2/0 float=y maxiter=1500 periodicity=6 mathtolerance=0.05/1 colors=000cccH1AK4AN7ARAAUDAYGA`JAdMAgPAkTAnXAr`Au\ dAwhFvjGvkGrkGmlHhmHcmHZgFUaDPWCKQAFK8AE75851345VH\ 8bUBtfIfdPTcWFaa2`_8SZEJIJ_2OpPfPRdMTcJVbGXaEZ`B`_\ 8bZ5dY3aX9_WFYVKWUQUTWSS`PNTNJLKADIA6KA4KA2wU0mb8d\ cGVdOMeVKeSIePGeMEeKLWIRNGYDEc4CeHDfTDgdDfhTelhdmw\ aHmZJdWUW`UAUUPNUbGUptUxmUsfUo_Uk0Ud8UhGUgNUg6neIt\ f2VFGjURjrBg2GlDLzNQxY_wkgYvAGkKciiivenrarnYvjdbt`\ joXrkR1lSHjTWiUkhe4EkR5bhP5giClhIqhOvgdS9WlsVppVsm\ Uwj4GKDWSMk_e3yaNsYfmV52UYNB7oLZk8`TEgXJm`Ptd5uLIx\ XhSnyOYqY`igbaqev7BnLKgZS`l_jEMX_9ukpnomgsk`witKsk\ ZoblkgzGczN`zUXz`WSwVio`hcZmdXqeVvfinceqdateYwfZju\ WrnTN7UXHUfQUpZ0NsIeyOppEnaMtdJLYPebYsTXuXWw`VydWs\ nVwjykwisouRtkbobnkipyestaupYxkDgHMqV7loDpmJskPwi2\ 7W9LZGZaNldC`iHghLmhQtg0xdFyf1y9BzLLzX9iIGoRNu_XdX\ Wl`VsdCXDIfOOpYwqoJja52_`c4taakjcbre4F4HbOyjNSI7VX\ uLFYOVaRjdqyXiz`azdKKBKK6 } 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|