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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image was supposed to rate at least a 7. Unfortunately, the ability to find great fractals is like artistic inspiration -- it is not always there when needed. Try as I may, I could find nothing of reasonable worth with the M-Mix4 formula. As a last resort, I turned to the MandelbrotBC1 formula and drew the default Mandeloid created by the very simple formula Z^1.75+C. This parent Mandeloid resembles the classic M-set rotated about 120 degrees cw, with the large period-2 bud sitting peacefully on the northwest shoreline of the main bay. Today's scene is located in the southwest branch of the Seahorse Valley of the parent. It contains nothing that has not been seen before, and has been rated at a very liberal 6. The BC in the formula name stands for 'branch cuts', three of which appear prominently in the image. These discontinuities must always appear in Mandeloids drawn with fractional powers of Z. The BC formula can move the cuts around by changing the real(p2) parameter, but they will always be there. I named the image "Pink and Blue" because of the large amount of pink and blue it contains. I consider the render time of 18 minutes a bit excessive for such a routine image. Patient fractalists will run the parameter file; others, with equal patience but less spare time, will download the finished GIF image from: Saturday brought sun and chilly winds here to Fractal Central. The dynamic duo enjoy sun, but the sun was blocked by the evergreen holly trees at the bottom of the yard, which left only the winds and temperature of 50F 10C. The duo does not like chilly winds, and as a result, they were testy all day. It took a treat of tuna followed by a turkey treat to flip them into wash-up mode and restore their good moods. It's now a sunny but chilly Sunday morning. The cats have not yet asked to go out. I have but a tiny bit of work to do before I can get down to the serious business of relaxing and fractaling. The result of the fractaling will appear as tomorrow's FOTD. Until then, take care, and beware of hit-and-run fractals. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Pink_and_Blue { ; time=0:18:16.97--SF5 on a p200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=recip passes=1
center-mag=-0.42832022342724060/+0.619134772836765\
10/1.791656e+009/1/42.5/1.40016650506738505e-005
params=1.75/0/0/0 float=y maxiter=3000
inside=0 logmap=450 periodicity=10
colors=000RrUTpVVnWXlXZjY`hZcf_ed`gbai`bkZcmZdo_en\
cfnignqhnyhU0e_0ca5jb9gcDddIaeMYfQVgUShZPibMjfIkkF\
loCms9ksFirKgrNeqQcqTapW_pZYocWohUngSpeQndQpbRr`Sq\
_TqYUrXRqZPp_No`LnaJmbHlcEkeCjfAig8hh6gi4fj2fk3eh4\
de4db5c_6cX6bV7bS8aP8aM9`J9_HCZGEYFGXFDW0MVFNUDPTD\
SRCUOCWKBYIB`HAbFAdD9fC95SH6PE6MB6J96G66E49D6CC8EC\
AHBCJAEMAFO9HR8JT8LW7NY7OT8UO9ZJAdFAiY_XXXYWUYVSZV\
PZUNZTK_TI_SF_RC`QA`Q7`P5aO2aO0aP3bP5cP7cP9dPBdPDe\
PFfPHfPJgPLgPNhPPiPRiPTjPVjMXfJZcG`_DbXAdT7fQ4hM1j\
JDkRPlZSmcVmcYmc`mccmcdmccmZZnUUpPPrKKt2Lq8LoDLlIM\
jNMhSMeXNcaN`fNZkNXpMUnMSmMPvMNaMKiLIhLFhLDiLAjL9k\
PAlTAmUAnUAoUApUAqU8rO6sH4tA2u31v65r99oCDlEGiHKfKO\
cMS`PVYSZVUbSXfP_iMamJdqGguDixAbyDWyFPzIRzKUzMXzR_\
zVbzZezchzgkzknzgqzdtzawzZzzWzzSzzPzzMzzJzzGzzDzz9\
zzkzzfzzbzzYzzTzzOzzKzzFzzAzz5zz1zz2zz2zz2zz2zz2zz\
2zz2zz2zz2zz2zz2zz2zz2zzT }
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| < a }
END 20.0 PAR-FORMULA FILE==================================
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