; Date: Sun, 21 Sep 2008 17:51:29 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 22-09-08 (Almost an Elephant [?.5]) ; ; Id: <1.5.4.16.20080921175246.2b1784da@pop.mindspring.com> ; --------- ; ; FOTD -- September 22, 2008 (Rating ?.5) ; ; Fractal visionaries and enthusiasts: ; ; Today's image lies in the pseudo-East Valley of the parent ; fractal that results when the formula Z^(1.9)+C is iterated 66 ; levels up the logarithmic ladder with no function applied. (I'm ; not sure how the various functions make the mathematics any more ; accurate, but they sure do add to the variety of fractals.) I ; could not decide on a rating for today's image, so I finally let ; it go with a question mark plus 1/2 point for the effort I put ; into smoothing the palette of only 256 colors. ; ; Sometimes I look at the FOTD fractals I create and feel like I'm ; living in the past. I'm still enthusiastic about the type of ; fractals that were being created in the late 1980's. Then I ; feel like a total anachronism, a lone scientist in a makeshift ; laboratory, with wires clumsily hooked up to batteries, search- ; ing for the most efficient filament to put in an incandescent ; light bulb, while the rest of the world has moved on to far more ; efficient light-emitting-diodes. ; ; But what the heck -- finding fractals uses so little energy that ; it may actually help us out of the latest what's-up crisis. ; ; I named today's image "Almost an Elephant" because it is located ; in the trunk of an East-Valley elephant that is only 90-percent ; there. The calculation time of 1-3/4 minutes is brief by any ; standard. And the trip to the FOTD web site at: ; ; ; ; to view the completed image is ultimate convenience. ; ; Sunday here at Fractal Central began with fog, but with a strong ; sun, the fog cleared off by 10:00am, leading to a most pleasant ; day, with tons of sun and a perfect temperature of 77F 25C. The ; fractal cats were distracted for a few minutes by the crows that ; gathered in the yard to finish off a bag of cheesy corn curls, ; then the duo settled for a nap on their shelf in the sun. ; ; My day was average, which is all that need be said. The next ; FOTD will appear in 24 hours. Until then, take care, and be ; fractally frugal with our limited resources. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Almost_an_Elephant { ; time=0:01:44.40-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.0534895390843374/+0.239156045629176/\ 1.700906e+007/1/52.5/0 params=1.9/0/66/0 float=y maxiter=1800 inside=0 logmap=125 periodicity=10 colors=000ugstgrsgqrgpqgoogomgokgoifoffndenaenZenX\ dnUdnSdnQelPekNfjMfiLghJggIgfHheFhdEicDibBjaAj`9j_\ Bk`DlaFmbGncIodKodLmcOkbRh`TeYWbWZ_U`XRcUPfRMhOKkL\ InGFqDDs9As68p36m68i9AeCBcFD_IEWMGSOHORGKUGIYFH`FL\ dFOgESkEVoEZrDauDdvDetEeqEenEekEehFeeFebFe_FeXGeUG\ eRGeOGeLHeIHeFHeCHdFLdHPcKTcMXbO`bRdaThaVl`Yp`_t`a\ xPTsELnGNmHOlIQkKRjLTjMUiNWhPXgQZfR_fSaeUbdVdcWebX\ fbi3p06sGOiSGcTLbUQaVVaW_`ZWCYYHX_MXaRWcWzf6teCoeH\ jeMedR`dWbCnaGl`Kj_NhZRgYVeXYcWaa1EG8KLEPPKVTQ_Xfv\ PnwSiqOdkK`fGanZavpPYaDAOEITEPXEW`EceEjiEqmExqTqmf\ jitcfUgP4k8CjEJiKRhQYgWdfabe`ae``e`Zd`Yd`UabXd`VcQ\ WdTWdWWdZCI`MU`ioxgmtekqcjmahj_gfY`cIWHKXKMYMOZPP_\ RR`UTaWVbZYeYXhZXkZXn_Xq_Wt_Ww`Wz`YzIXzMXzQWzUWzYz\ z6zzAzzEzzIzzMzzQzzUzzYzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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|