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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image shows a midget in the Z^(1.5)+C fractal. As is true with all fractals created with fractional powers of Z, the features are discontinuous. This discontinuity prevents any well-defined pattern from emerging around the midgets in the parent fractal, but there are still less-obvious differences to be noticed. Today's image is one of the more striking ones I have found to date in the fractals with exponents between 1 and 2. I named it "A Quarter of Six", which is not the time of day, but refers to the fact that the exponent of Z, which is 1.5, is one-quarter of 6. The fact that the rating is also a 6 and the render time is 6 minutes is purely coincidental. For the convenience of those who do not render, the finished image may be found on the FOTD web site at: With lots of sun and a high temperature of 66F 19C, Thursday was mild enough here at Fractal Central. But the wind was quite gusty, and fractal cats do not like high winds, which cover the sound of approaching danger, so their outdoor time was limited to under one hour. Though they did not demand a tuna treat in the evening, I rewarded them with a treat anyway. This morning is starting cloudy and chilly, with showers forecast. It could be another less-than-perfect day for the duo. For me it looks like a rather busy day coming up. The next FOTD will appear in 24 hours. Until then, take care, and know the meaning of things. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
A_Quarter_of_Six { ; time=0:06:26.73--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC2 passes=1
center-mag=+1.04687270978214200/+0.627331687174816\
60/8625017/1/-37.4999999844678555/-1.3790757487364\
1359e-008 params=1.5/0/0/0 float=y maxiter=1200
inside=0 logmap=167 periodicity=10
colors=000PDYQGVSJTUMRVPOXRMYUJ_XHa_FbbCdeAeg8eg8d\
f8de8ce8cd8bc8ab8ab8`a7``7__7__7ZZ7ZY7YY7XX7X5lV6i\
U7gS8dR9aPAZOBXMCULDRJEOIFMGGJFHGEIEFGCGEAHC9IA7J8\
6K64L43M21N00O52P93PE4QI6QM7RR8RV9SZBScCTgDTkE_ZXf\
NodLicJdbH_aFV`EQ_CLZAGY8BX76YDB_IF`OJbTOdZSfcWhj`\
jqdlvhmzlnuknqknnjnjjnfincin_inWhoThpPgqLgrIfsEftB\
fs8cr5`r2YoIPmYHkl9heMe_YbUi_OuZQpYSkXUfWWaVYXU_ST\
aNScIReDRf8SmDTtIUzNYpXaffZebXd_UdXScUPbQNbNKaKIaH\
MegOcgQbgSagU`gV_gXZgZYg`XgbWgcVgeUggTgiSgjRgfPdcO\
b_N`XLZTKXQJVMHSJGQFFOCDM8CK5BI99PC7WF5aI3hL2nIBkF\
KhCSf9`c6i`3qZ6n`9kbCidFffIchLajOZkRWmUUoXRq_OsbMu\
eJwgHxfKweNvdQucTubWtaZsaas`dr_gqZjqYmpXpoXroWolWm\
jWkhWifVgcVeaVc_VaYU_VUYTUWRUUPUSNVVRVXVWZYW`aXceX\
ehYglYioReiKbdEZZ7WU1TP3WN4YM6_L7bK8dJAfIBhHCkFEmE\
FoDGrCItBJvAKx9LyBMzDNzFOzGPzIQzKRzMRzNSzPTzRUzTVz\
UWzWXzYXzZUz_Rz`OzaLzbNz_ }
frm:MandelbrotBC2 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*floor(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| < a }
END PARAMETER FILE=========================================
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times.
