Dec. 9, 2013: Cupcake Quest | Dec. 8 | Dec. 10 | 2013 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's image is a math special, which explains the math rating of an
8. It is also an entire parent fractal in itself, which
explains
why the art rating is an unspectacular 6.
The entire scene has been rotated minus-90 degrees, for a marginally
improved composition. The fractal actually has X-axis
symmetry.
The real(p2) value of 3.1439495 is not frivolous. It is the
critical value at which the fractal does have X-axis
symmetry.
The value's closeness to the number PI is purely coincidental.
The name "Cupcake Quest" refers to the two cupcake shaped buds on
either side of the fractal's main bay. These buds and the
filaments extending from them probably hold countless minibrots of all
degrees of interest, but today is not the day we check for them.
The calculation time of 1-1/3 minutes will cause stress for no
one. Running a DOS file on some SOTA units can be quite a
task
however. Those with uncooperative machines may find the image
on
the web sites.
Heavy clouds, melting ice and a temperature of 36F +2C defined the day
here at Fractal Central. The fractal cats had a reasonably
uneventful day except when they inadvertently bumped into each other
dashing around a doorway and a little mild cat profanity was
exchanged. We humans were shocked by the cat language, but it
was
nothing we had not heard before.
The next FOTD will be posted in the right time. Until
righteousness prevails, take care, and feel free to disagree.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Cupcake_Quest { ;
time=0:01:20.00 SF5 at
2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident
center-mag=-0.32195/0/1.06271/1/-90/0 params=1.333\
/0/3.1439495/0 float=y maxiter=25000 inside=0
logmap=yes periodicity=6 sound=off
colors=00001S01Q02O03M04K05I06G06E06C0690460230000\
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ukYudPhYHWR8JL07bMLtfZAoREiWIc_MYdPShTMmXGq`Avc5zb\
6wb7ta8raEoaKl`Pj`Ug_Ze_cb_h_ZmYZrVZvTOy0ty7qzAozC\
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zzmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
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=========================================