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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: In this ever-changing world, only a few things remain constant -- things such as the velocity of light and the mass of the electron. Or do they? I have just received the June issue of 'Scientific American' magazine, and in it I see an article that examines the possibility that these constants have changed over the life of the universe. Heavens, if the speed of light can change, what will be next -- the shape of the Mandelbrot set!? Today's formula is not new, but I have included it in my working 'allinone' formula file for the first time. It works exactly the same as yesterday's formula, except that it calculates (-Z) rather than Z. To produce today's image, I set the exponent of Z to 1.5 and examined the resulting Mandeloid for a point that might have an interesting Julia set associated with it. The result is today's image, which reminds me of discarded masks lying scattered on a sandy beach. I named it "Sandy Masks". I have no idea what kind of wild party might have been in progress on the beach the night before, but it must have been interesting. The image itself is . . . not bad. It rates a 6. The render time of (virtually) exactly 4 minutes is not bad also. The ease with which the completed GIF image may be downloaded from the FOTD web site at: Another near perfect day, with lots of sun and a temperature of 81F 27C, pleased the dynamic duo here at Fractal Central on Wednesday. Today is starting cloudy and cooler. It is not too bad a day, but still not up to yesterday. The cats will have to make a judgement. For me it's a matter of doing the things that need to be done, and then pondering the mysteries of the universe. The next FOTD will appear in 24 hours. Until then, take care, and if life serves you a peach, ignore the pit. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Sandy_Masks { ; time=0:04:00.01--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=JulibrotInvZ passes=1
center-mag=-0.0578953/0.074155/5.143809/1/-95/8.94\
423424213641738e-014 params=1.5/0/0.5/0.703027/0/0
float=y maxiter=2500 inside=0 outside=real
logmap=yes periodicity=10 sound=off
colors=000GfmHdkIbjK`iLZhMXfNVeOTdPScSVdUYdW_eYbe`\
dfbgfdigflgkpjhngflddjabh_`fXZdUXbRU`PSZMQXJOVGMTE\
KRBIP8GO6MP9SQCYREbRHhSKnTMtUPyURvXUt_Xra_odbmfeki\
hhlkfnndqqbstip1jn2jm2kk2kj2kh2lg3le3ld3mb3ma3n_4n\
Z4nX4oW4oU45xLoT4qV6rW7sX8tY9uZAv`CwaDxbEycFzdGqgI\
hiK`kMSmOKoQBqS4yW3sT3mQ3hN3bK3YH2SE2NB2H82C526221\
054476798BBAEDCHFELIHOKJSMLVONYQPaSRdZOhUTgPXfK`eG\
ddBhc6lb2pau0iu1gu1fu2du2cu2bu3`u3_vgzu3Zt2Ys2Xr2X\
q2Wp1Wp1Vo1Un1Um0Tl0Tk0Sk0Sm5Un9VoDWpIXrMYsQZtV_uZ\
`wbaxgbykczodxl`wjXvgTuePtcMs`IrZEqWApU6oS3nR5nR7n\
R8nQAnQCnQDnPFmPHmPImOKmOMmONmNPmNRySUmNSaIRQDPE8O\
23N95LF7KL9JRBIXDHbFGhHFnJEtLDzNCtKDnHDhFDbCDXADR7\
DK1AL5DM9GMDJNHMOLPSSTOOSLKRIHQEDPBAO86N53M4BO3IQ2\
QS1XU9VYHT`PSdWQgcOkkNnsLrzKuwMstNrqOqnPpkQohSneTm\
bUk_VjXWiUYhRZgO_fL`e6puJadVOOfA8tuHrpLqlOpgRncUmZ\
XlV_jQbiMehHhjEogDkEjoFhn }
frm:JulibrotInvZ {; Jim Muth
; Draws oblique slices of order n inverse Julibrot Figure
; P1 defines power of Z, P2 determines center of slice
; P3 determines angle of slice
z=pixel, c=p2+(pixel*p3):
z=(-z)^p1+c,
|z| < 100 }
END PARAMETER FILE=========================================
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