Fractal of the Day
by Jim Muth
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FOTD -- April 18, 2009 (Rating 6)
Fractal visionaries and enthusiasts:
Those familiar with the Alice in Wonderland stories know that one of the abilities of the Cheshire Cat is to show its smile without showing the rest of itself. I named today's image "Cheshire Elephants" because it shows elephant trunks without the rest of the elephants.
The parent fractal is the Z^(1.5)+C Mandeloid as it appears 1.64159265 levels down the logarithmic hyperspiral. (The number is 1.5 minus PI.) Today's scene is located in the East Valley of the parent, an unusually well defined East Valley for a Mandeloid of such a low order.
I rated the image at a not-too-impressive 6. After all, how impressive can a couple disembodied elephant trunks sitting over some half-squashed buds be?
The calculation time of 110 seconds is not at all bad. Viewing the finished on the FOTD web site at:is even better.
Friday was the best day so far this spring here at Fractal Central in central Pennsylvania, with total sunshine and a temperature of 72F 22C. The fractal cats made the most of things. In fact, they made too much of things when they got into a tussle over their catnip rat. I guess we'll have to get a second catnip rat to keep them both happy at the same time.
My day was average enough to keep everyone but the cats happy. And if all goes well, tomorrow will be another average day and the FOTD will be posted on schedule in 24 hours. Until then, take care, and where does one's lap go when he stands up?
Jim Muth
jamth@mindspring.com
jimmuth@aol.com
START PARAMETER FILE=======================================
Cheshire_Elephants { ; time=0:01:50.06-SF5 on P4-2000
reset=2004 type=formula formulafile=basic.frm
formulaname=MandelbrotBC3 function=floor inside=255
center-mag=+0.166550673876/-0.00577360745223/1014.2\
08/1/30/0 float=y passes=b logmap=33 periodicity=10
params=1.5/0/-1.64159265/0 maxiter=6400
colors=000aZV__WY`XWaYUbZSc_Qd`OeaMfbKgcIhd9ie0jf2\
kg4jh6ie8fbAc_B`XDYUFVRHSOJPLKMIMJFOHCQF9S46T03W55\
Z96aD7dH8gLAiPBlTCoXDr`FudGxhHzlIvlJrlJnlJklJglJcl\
J`lJXlJTlKQlKMlKIlKFlKBlK7lK4lKFnPPpUZrYgobclc_edU\
`bSZ_R_YZ_UgdQohMlcHiZDfU9dQ5aPD_OKYORYMOYLMYKKYJI\
YIGYHEYGCWJCTMCROCPRCMUCKWBHZBFaBDcBAfB8iB6kBBjDFi\
EJhFOgGSfIWeJ`eKddLhcNmbOqaPu`Qy`RtZPoXNkVLfUJbSIY\
QGTPEPNCKLAGK9FJCFJEFJGFJJFJLFJNEIQEISEIUEIXEIZEI`\
OHmJNoFSqAYs6bt5ds5er4fq4gp4io3jn3km3lm4il4gk5dj5b\
i5`h6Yg6Wf6Ue7Rd7Pc7Nb8Ka8I`8G_AHeCIjEJpGKuILzPIeW\
FMbD2`EAZEHXEPVEWTEcREjPErOEyNHxMKxMMwLPwLSwKUvKXv\
JZuJauIduIftHitHmtImqJmnJmkKmhKmeLmbLm_MmXNmUNmROm\
OOmLPmIPmFRmGSmGTmHUmHWmIXmIYmJzmJzmOzmSznWzo`zpdz\
rhzsmzuqzvuzxyzz9zzEzzIzzNzzRzzWzz_zzazzbzzdzzezzf\
zzhzzizzkzzlzzmzzozzpzzqzznzzkzzhzzfzzczz`zzZzz_zz\
_zz_zz_zzpzzpzzozzozznR0K }
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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