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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image exists in the Z^(1.2)+C Mandeloid as it appears PI levels up the complex logarithmic ladder when no function is applied. The parent fractal at this level isn't much to look at, but it is surrounded on its west side by bits and pieces of cut-off spirals, and the image sits on a node of one of these pieces of a spiral. Actually, the pattern around the tiny minibrot at the center is unusually well organized for a scene in a fractal in this low exponent range, with tiny cut-off pieces of spirals hiding everywhere, and the 4-way near-symmetrical arrangement of elements adding just enough interest to raise the rating to a 6.5. The name "Deeply Fractured" describes the broken-up nature of the scene. The calculation time of just over 1 minute will cause no one to lose patience. And if all else fails, the finished image is or soon will be posted on the FOTD web site at: Monday turned out very pleasant here at Fractal Central. There could hardly be a better way to end winter than with a Saint Patrick's day of full sun and a temperature of 48F 9C. The local fractal cats must have agreed, for they got into a tussle over who would sit in the sunniest window. My day was mostly average; tomorrow should be the same. The next FOTD will be posted in about 24 hours. Until then, take care, and when science tells us that the universe is about 13.7 billion years old, what is doing the talking? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Deeply_Fractured { ; time=0:01:01.73-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC3 function=ident logmap=154
center-mag=-2.704804574677948/+1.557515314601944/4\
.747e+009/1/-10/0 params=1.2/0/3.14159265358979/0
float=y inside=0 maxiter=2400 periodicity=10
colors=000F2EL5HR7KX9NbBQcETcGWcIZcKanbXcsdTzifzfz\
h0zzUQhNPXHOPAOF4xlpsohoqaksUguNhlPidQiXSjPTjHUcIV\
zIKzIKzIKgJXgJXfJYfJYdGTbEO`BJ_9Fm6Am45V21Y2B`2Lc2\
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a9AdABfACiBDkBEnzFpzGsCGuCInFJhHLaJMWLNPNPJPQCRR6T\
N5VJ5XF5ZC4_84a44c14d86cE8cKAcRCcXEcbGccN`cTZc_Xce\
UclScrQcxOP`TBEXBMRBUKBaEDcFEdFFeFHfFIgFJhFLiFMjFN\
kFPlFQmFRnFToFUpFVqFWrFYlE_gEabDcYDeSCgNCiIBkDBm8B\
k9EjAGhBJgCLeDOdEQcFSaGV`HXZI_YJaXKc_LgaLjdMmfMpiN\
skNviOuhOtgOsfOrdOrcOqbPpaPo_PoZPnYPmXPlWPlZUiaYgd\
aefeciialm_nqYopWopVooUooTooRonQonPonOomNomLomKolJ\
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zeazgYzhUzjQzlMznIzoHznHznGznGznGznFznFznEzmEzmEzm\
DzmDzmCzmCzmCzmEzkGzjIzhKzfMzeOzcQzaSz`UzZWzXYzWVz\
UazWezVizUmz9qzBtzDwzFzzH }
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.
