; Date: Tue, 01 Jul 2003 10:02:59 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 01-07-03 (Fractal of Light [6]) ; Id: <1.5.4.16.20030701100251.0d6729f6@pop.mindspring.com> ; --------- ; ; FOTD -- July 01, 2003 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today we begin the seventh month, yet the exact mid-point of the ; year does not arrive until noon tomorrow. In honor of these ; un-astounding facts, I have created a fractal. I named the ; fractal "Fractal of Light". When I gave the image this name ; last evening, I did so for a definite reason. This morning, ; that reason appears much less persuasive, but the name has ; already been given, and it will remain. ; ; The parent fractal was created with the MandelbrotMix3a formula, ; which mixes together four different powers of Z, but requires ; that the critical points be calculated by hand. In today's ; case, Z^2, 1/Z, Z^3 and Z^4 were combined, and Z was initialized ; to 3.5059.... ; ; The parent fractal, which has X-axis symmetry, is a Mandeloid ; rotated 180 degrees, with a large triangular area of chaos ; beyond its East (or in this case, its West) Valley. The East ; Valley itself is split in half, with a very skeletal line of ; disconnected elements strung down its open center. Today's ; scene is located near the edge of one of the smaller elements ; in this string. ; ; Because of the skeletal nature of the entire East Valley area, ; today's image consists mostly of inside areas that have been ; made visible and given detail by the 'fmod' inside-fill option. ; I have rated the image at a 6, which is the most common FOTD ; rating. ; ; Because it must calculate 4 different powers of Z at every ; iteration, the M-Mix3a formula is rather slow. Today's image ; takes a full 11 minutes to render on my machine. The wait can ; be avoided by downloading the completed GIF image from: ; ; ; ; or from: ; ; ; ; With a temperature of 91F 33C and lots of sun, Monday was ; another good cat day here at Fractal Central. Showers prowled ; the area in the evening, but none made it to Fractal Central. ; The intrepid duo passed the afternoon sleeping on the porch and ; sitting in the shade under the holly trees. ; ; Today promises to be a slightly cooler repeat. This is good, ; because old cats become quite settled in their ways, and prefer ; good days. So until next FOTD, take care, and keep a good ; fractal thing going. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Fractal_of_Light { ; time=0:11:04.76--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=+1.224869498561344/-0.000190723153669/1\ 997855/1/-5/-8.58104708817e-009 float=y params=0.2\ /2/-1/-1/0.1/3/-0.03/4/3.50592829665/0 maxiter=1200 inside=fmod proximity=0.5 periodicity=10 colors=000WgbVebVcbVacU`cUZcUXcUWcXUa_S_bQZeOXhMVj\ KUdPSZURUZQOcPIhODmN7rM2wL6uNAsPEqRIoSMmUQkWUiXYgZ\ ae`ecaiacm_eqYfSLm28sBAkJBdRDXZEQfGInHBtT_ydwpdqgd\ l_dgRdaIdXAdS9oL8yECtDFpCIlBLhAOd9R_8UW7XS6_O5bK4e\ G4bH8`ICZIFXJJUJNSKQQLUOLYLM`JMdHNhFNk8di2ug5pd7ja\ 9eZBaXEYUGVRISOKPMNOPPRSSUUUXXX__Zbaaedchgfkihnlko\ omqqprtrsutuvvwwxxxzzyzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzz_Ef_EhZDiZCkZBlYBnYAoY9qY9r_Ep`InaNlbRkcVi\ e_gfcfghdhlbipaeibabbYXbcQbZJcUDcP6cG0cL6eQCgVIi_O\ kdUli_nnepskrxpsvqruqrsqqrrqprporpmsolsojsnitngtmf\ tmdulculauk`ukcqbfmUiiLhhMggNgfOffOeePedQdcRdcRcbT\ caUbaVb`Wb`Ya_Za__aZ``Ya`Yc`Xd_Xe_Wf_WgYXgXXgWYgUY\ gTZgSZgRZgVacYd_`fXciTglQjnMmqJptFsvCqtForHmpJloLj\ mNhkQgiSehUcfWbdY`b`ZabY_dWYfUWhTVjWPeYKa_EXa9TaBS\ aCSaDRaERaGQaHQaIPaJPaKP73R73T73V73X73Z73`73a85`96\ `A7_B8_C9ZDAZXmaWlaWjbWhb } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } ; END PARAMETER FILE================================== ;