; Date: Thu, 15 Jan 2004 12:29:07 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 15-01-04 (Fractal Fossil [7]) ; Id: <1.5.4.16.20040115123119.2b0f5064@pop.mindspring.com> ; --------- ; ; FOTD -- January 15, 2004 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; As I mentioned in the FOTD of January 13, I have long been ; searching for a great midget in a Mandeloid fractal with an ; exponent of Z between 1 and 2. The midget illustrated in ; today's image might not be great, but it is at least above ; average. The rating of a 7 might be a bit generous, but ; regardless, it is still one of the best midgets I have yet ; found in such a low-order Mandeloid. The overall value comes ; in at a 61. ; ; The exact exponent of Z in today's image is 1.5, which has been ; calculated 1.5 levels down the logarithmic hyper-spiral. The ; parent fractal appears as a reasonably normal Mandeloid rotated ; 180 degrees. On the north shore of the large western bay lies ; a tiny rudimentary bud, with a curious half-developed valley on ; its inside top shore. The shoreline of this valley is lined ; with areas of near total chaos, cut-off bits of which extend ; some distance inland. Today's scene lies in one of these ; cut-off inland islands of chaos. ; ; As is typical of all fractals with fractional exponents of Z, ; today's image is filled with discontinuities. The discontinui- ; ties are in fact the substance that composes the image. These ; breaks are a nuisance, but they also show the way to midgets. ; ; When one is searching for quadratic midgets, the signposts are ; areas where the features are arranged roughly symmetrically ; around a point. When the object of the search is a midget of a ; lower order, the breaks in continuity serve as the signposts. ; The breaks usually converge on midgets which otherwise would be ; nearly impossible to find. ; ; I named the image "Fractal Fossil". The name came to me when I ; started wondering how long this particular scene existed before ; I discovered it. It certainly existed billions of years, but ; did it exist before the 'big bang'? As far as that goes, did ; the 'big bang' actually happen, or is it just a creation myth ; without an outside creator, carefully designed to fit into our ; scientific world-view? ; ; While pondering the imponderable, I will end today's discussion ; with the reminder that the 11-minute wait for today's parameter ; file to run can be avoided by downloading the finished GIF ; image from Paul's web site at: ; ; ; ; The snow held off until after dark on Wednesday here at Fractal ; Central, but with a temperature of 23F -5C and brisk winds, the ; outdoor conditions were too harsh for the dynamic duo to venture ; forth. They spent the day indoors, sleeping and eating. Today ; is starting with a fresh inch of snow and falling temperatures. ; The cats will likely have another indoor day. ; ; With about 4 hours work to finish, I will likely have an indoor ; day also. And in 24 hours, I shall return with the next FOTD ; fractal. Until then, take care, and remain fractally oriented. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Fractal_Fossil { ; time=0:11:27.07--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=+0.04526308974509857/+0.771631709693025\ 60/698846.7 params=1.5/0/-1.5/0 float=y maxiter=12000 bailout=9 inside=0 periodicity=10 colors=000DIMEDHF9CG479vwBghDTVFEGgTubOkZJbUEUQ9KL\ 4BdkYciWbgVaeU`cT_bSZ`QYZPXXOXWNWUMVSKUQJTOIXL_`QX\ cUTgUQjUNnUKqUHsUErUIqULpUOoUSoUVnUYnU`mUcmUfmUimU\ gkUjjWgiXdhXbgW_fUYfRVfNTfJQeFOeCLe8Je4Ge1Ed3Hc4Kb\ 5Ma7P`8R_9UZBXYCZXDaVFcVGfUHhVLiWPiWSjXWjX_jYbkYfk\ ZjkZml_ql_tm_um_um_vm_vm_wn_xp_yr_zv_zzQkcGZc6Nc5P\ `5QZ5RW5SU5TR5UP5VN4XK4YI4ZF4_D4`A4a84b67Z79V8BS8D\ O9GK9IHAKDAM9BO6BUBGZFKcJPhOTmSYrWaiS_`PYTLXKIVBET\ 3BS4FR5JQ6NP6RO7UN8YM8cM9gLPkKUnJZqIcsHcvHcqFFkEGe\ CH_BJU9KO8LI6MK5NK4LK3JK2`naXiUTcNPWGLU9JYPIUMIRKI\ OIILGIIEHFCHCAH98H66H34y0Zw0Xu0Ws0Vq0Tp0Sn0Rl0Pj0O\ h0Ng0Le0Kc0Ja0H_0GZ0FX0DV0CT0BR09Q08O07M05K04I03eZ\ 8XN6PB4gGLIqMHnLHkKHiJHfIHdHHaGbLcbMbbNacOacP`cQcc\ RfcSjdTndUrdVvdWzdWWcUVbTUaST`RS`QR_PQZOPYNOXMNXM3\ XLMWKLVJKUIJTHITGHSEGRDFQCEZBDPACO9BN8AM79L68L57K4\ 6J35I24H137dl9_fAVaBRXCMS } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-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|