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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Everyone knows that quadratic minibrots are surrounded by a symmetrical pattern of elements in the 2,4,8... series. Well, today's image shows that this is not always true. The minibrot at the center of today's image lies in an area devoid of any trace of symmetry. I named the image "Minibrot in Violet" after the irregular violet area surrounding the minibrot. And then I rated it at a 6. The image lies in the same area of the same parent fractal as yesterday's image, in the East Valley area of a different but still anomalous minibrot. The calculation time of just under 3 minutes is within reason. The finished image is posted for instant viewing on the FOTD web site at: A mostly sunny and warm day here at Fractal Central on Wednesday, with a temperature of 77F 25C, was not spoiled when a shower passed over at 6pm. The fractal cats missed the weather. They got into the catnip this afternoon and were several hours sobering up. Except for the goofy cats, my day was normal. The next FOTD image will be posted at the usual time in 24 hours. Until then, take care, and be patient. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Minibrot_in_Violet { ; time=0:02:58.51-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC3 function=conj logmap=174
center-mag=-0.6494432062863946/+0.032501227941523/\
34194.97/1/87.5/0 params=2.005/0/1/0 periodicity=10
passes=1 float=y inside=0 maxiter=2750
colors=00041S31T11V01W63_C4bI5eO6hU8k_9neAqkBtAUp9\
To9Sn9Rm8Ql8Pk8Pj7Oi7Ni7Mh6Lg6Kf6Ke6Jd5Ic5Hb5Gb4Fa\
4F`4E_3DZ3CY3BX3BX5CW6DW8EW9FVBGVCHVEIUFJUGKUILTJM\
TUNTcOSmPSzQSzzRzzRzzRvzbowZiuWcsSXpPRnLLlIKmJJmJI\
mKImKHmLGmLFmMFmMEnNDnNCnOCnOBnPAnP9nQ9nQAoRBoRCpR\
DpREpRFqRGqRHrSIrSJrSKsSLsSMtSNtSOtSPuTQuTRvTSvTTv\
TUwTVwTWxUXxUYxUZyU_yU`zUazUazUDjcCkcCldArgCmdDibF\
e`G`YHXWJTUKPSLKPNGNOCLP8JU8LZ8Mc8Nh8Ok7Ql8Pl9PlAP\
mBPmCPmDOnEOnFOnGOoHOoHNoINpJNpKNpLNqMMqNMqOMrPMrQ\
MrQMnOLkNKgMKdLJ`KIYJIUIHRHHNGGKFFGEFDDE8BBACECDGE\
DJGELHFOJFQLGTNHVPHYQI_SJaUJdWKfYLiZLk`MnbNpdNsfOu\
hPygOwfNueMsdLqcKobKmaJk`Ii_HgZGeYGcXFaWE_VDYUCWTB\
USBSRAQQ9OP8MO7KN7IM6GL5EK4CJ3AJ38K57K77K97KA7KC7K\
E7KF7KH7KJ7KL6KM6KO6KQ6LR6LT6LV6LW6LY6L_5La5Lb5Ld5\
Lf5Lg5Li5Lk5Mm3Lo5Lq6Ks7Ku8Jw9JxBIyCIzDIzEHzFHzHGz\
IGzJFzKFzLFzMEzOEzPDzQDzR }
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| < a }
END PARAMETER FILE=========================================
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times.
