; Date: Tue, 26 Aug 2003 09:55:29 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 26-08-03 (Chao-Brot [5]) ; Id: <1.5.4.16.20030826095554.0d772730@pop.mindspring.com> ; --------- ; ; FOTD -- August 26, 2003 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; Recovery is in progress. With today's image, we raise the FOTD ; standard to a rating of 5. This is only an average rating, but ; it is still better than yesterday's rating of an abysmal 3. The ; scene that earns the rating is that of a cubic midget in the ; Z^3+C Mandeloid, deep in the valley that splits the top bud. ; ; This valley corresponds to nothing in the classic Mandelbrot ; set, and therefore holds some rather unique features. To begin, ; it is not infested with those over-rated spirals that for some ; reason have become so trendy among certain fractal groups. More ; importantly, at least in today's image, the orientation of the ; illustrated slice is not in the Mandelbrot direction; it is ; double rotated half-way toward the Julia direction. (Double ; rotation is one of those non-visualizable things that can exist ; only in spaces of more than three dimensions.) ; ; >From this angle, all resemblance to the original cubic Mandel- ; midget is gone. Instead, we find a narrow diagonal slit. The ; powers-of-three sequence of features surrounding the midget is ; also gone, replaced by a stretched and disconnected mish-mash of ; bits and pieces of the original pattern. ; ; As we approach the central hole, there seems to be little if any ; order remaining. This inspired the name Chao-Brot. The render ; time of over 1/2 hour on my slow machine is admittedly too much ; for such a mediocre image. The better way of seeing the chaotic ; scene is to download the finished image from one of the FOTD web ; sites at: ; ; ; ; and: ; ; ; ; Monday was fair enough for cats here at Fractal Central, though ; it was a bit too warm for people. The hot sun and temperature ; of 88F 31C made outdoor activity seem unpleasantly strenuous ; unless something like ice-cold lemonade was handy. The cats had ; an average day in the yard, which for 13-year old ex-tomcats ; means sleeping. ; ; Today is starting cloudy however, and showers are threatening. ; It remains to be seen how the day will go. The only thing near ; certain is that the next FOTD will appear in 24 hours. Until ; then, take care, and be ready for actual up-to-date photographs ; of the dynamic duo of cats. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Chao-Brot { ; time=0:31:06.70--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=+0.00000002434646647/-0.000000000003558\ 43/3.165493e+010/1.089e-005/-179.995344305281634/-\ 89.9990143502176352 params=45/45/3/0/1.63489133e-0\ 06/1.08873023204355/1.63489133e-006/1.088730232043\ 55 float=y maxiter=16000 inside=0 periodicity=10 colors=000UgqVfrWdsYbtZau__vaZwbXxcWybTwaQv`Ou_Lt_\ JrZGqYEpXBoX9n`M_cZLln4fj6af7Wc8R_ALXBGTCAQE5MF0JG\ GFKWBOi0Vk7SmDQnJOpPMqVJs`HtfFvlDwrBunGtkKrhPqeTob\ Xn_alXekUijagiiehqchybeu`cr_`oZZlYWiXUfWRcUP`TMYSK\ VRHSQFPPENSEMUDKXDJZCHaCGcFEaHD`KBZMAYP8XR7VU5UW4T\ T9XRD_PHbMLfKPiITl9ah1ie8faFcYM`VTYRZWOaUPcTPfSQhR\ QkQRmPRoQOqSLrTJqSKpSKpRKoRLoQLnQLnQLkSMiUNgWOeXOc\ ZPa`Q_bRYcRWeSUgTSiUQjUOlVMnWKoWLlULiSLfRLcPL`OLYM\ LVLLSJLPILMGLJFKLIKNLJOOJQRJRTITWIUZHWaHXdHZfG_iGa\ lFboFdrFetHbsJ_sLXrMUrORrQOqRLqTIpVFpWCpY9o_6o`3oO\ B_BJLDQUFXaGbiGbhGbhGbhGbgGbgGbgGbfGbfGbfGbeGbeGbe\ F`cE_bDZ`CY_B`ZA_X9ZW8XV7UT6SS5QQ4OP3LO2JM1KL0JK3N\ O6RR9UUCYXF`_HdcKgfNkiQnlTroVurUvsTvsTvtSvtRwuQwuQ\ wuPwvPwvOwwNwwNwwLsrKpnJljHifGebFbZE_VUfNimFjiDjeC\ jaBkY9kV8kR7lN5lJ4lF3lC2h8Hd5Wa2jZ5hW8gTAeQDdNGbKI\ aHL_EOZBQYNolOmmQlnRjoSip } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } ; END PARAMETER FILE================================== ;