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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I have been having trouble getting connected to Mindspring in the evenings lately, which is why I sometimes post the Fractint version of the FOTD through AOL and do not post the philofractal version until the next morning. (The philofractal list does not like AOL's HTML e-mail encoding.) Earthlink says it is a lack of capacity in this area -- a rather shameful statement for a leading ISP to make. Oh well, we'll give them a chance and see how it goes from here. They have been quite reliable for over 10 years. We end the month of November with another fractal that rates a 6, not that a 6 is a bad rating, it's just so bland. The day's fractal lies in the main spike area of the Z^(2.001)+C Mandeloid as it appears 0.01 level up the complex logarithmic ladder when calculated by the MandelbrotBC1 formula, with no function used in the calculation. The spiky effect was achieved by rendering the image with the outside set to 'fmod' and the proximity set to 0.09. I named the image "The Spikes of Life" for no sensible reason. Since the name is senseless, the calculation time had better be brief. And indeed it is. The 29 seconds will try the patience of not even the most impatient fractalist. And as always, a trip to the FOTD web site at: Despite brisk winds, Thursday was really quite pleasant here at Fractal Central. The temperature reached a high of 54F 12C and there was ample sunshine. The fractal cats must have agreed, for one of them celebrated by pulling up a corner of the carpet in the living room. They both looked guilty but claimed innocence. In my department, normality prevailed. The day's fractal might have been worth a higher rating, but what the heck, nobody is perfect. The next FOTD fractal will be posted in 24 hours. Until then, take care, and what if the theory of everything turns out to be a theory of nothing? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
The_Spikes_of_Life { ; time=0:00:28.98-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=ident inside=0
params=2.001/0/0.01/0 proximity=0.09 periodicity=10
center-mag=-1.769052618204596/-0.00000154115427465\
/5.532635e+008/1/-134/6.49684421322946348e-005
float=y maxiter=1800 outside=fmod
colors=000jezjezjezjezjezleznfzphyrixtkwvmvxouzptw\
ksufrraqpXpmTokOnhJmfEldAkhWFiYHi_Ii`JibLicMieNifP\
ihQiiRikTilUinVioWgkZegadcdb_g`Wj_SlYOoWKrVGuTCxS8\
zSCvSGrSKnSOjSSfSWbSZ_SbWSfSSjOSnKSrGSuDLSLMTMMTMM\
TMMTMNUMNUMNUMNUMLRRKOWJL_IIdGFiFCmE9rD6vJG7LK9MOA\
NRBOVCPYDQaERdFShGTkHUoIVrJWvKXyLYvJZtIZqG_oF_lE`j\
C`gBaeAbb8b`7cY6cW4dT3dR2_S5VS8RSAMSDISF_HKp7Ol8Ri\
9Tf9VcAX`AZXB`UCbRCeODgLDiHEkEFmBFo8Gq5GsAIqEKpILn\
MNmQOkUQjYRhaTgeVeiWdmYbqZau`_yaZsYYnUYiQYdMY_IXVE\
XQAXL6XG2XI3YJ4ZK4ZL5_M5_N6`O6aQ7aR7bS8bT8cU9dV9dW\
AeXAeQEVJIKDL9ENCEPEERGISFMSEQTDUTCYUBaUAeV9iV8mV7\
iW8eW8aX8YX8UX8QY8NY8JZ8FZ8BZ87_83_80_85a9Ac9FeAKg\
APiAUkBZmBcoBhqCmsCquCjtDcsEYrFRqFLpGEoH8nHFhJMbKS\
YLZSMeMOkHPrBQx6RhVfTrvRnsPkpNhmMejK`gIWeGS_FOXDJT\
BEP99L85ICBMFGQIMTMRXPW_S`cVefZhialkdongrphqnhplho\
jhnhhmfildikbijaii_ihYjgW }
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 PARAMETER FILE=========================================
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times.
