July 13, 2012: On the Bright Side | July 11 | July 14 | 2011 | FOTD Home |
Fractal visionaries and enthusiasts:
Today's
parent
fractal is once again an almost-Mandelbrot set. This set came
about when I went 22 levels up the complex logarithmic hyperladder and
calculated the expression Z^(2.00001)+C. But this almost-Mset
set
is rotated 180 degrees so that its East Valley falls on the negative
X-axis, where the discontinuities usually lie.
The plan was to check the East-Valley type discontinuities there, but I
never found any. What I found was an everyday East Valley
scene. To make something of nothing, I worked on the colors a
bit
and came up with today's image, which I named "On the Bright Side"
because of the unusually bright color values of the image.
The only fractal 'trick' was rendering the scene with the 'outside' set
to 'summ'. A better rendering and coloring might have been
possible, but I saw too little potential to make a real effort.
Considering the image's calculation time of over 12 minutes, the rating
of a 7 might be a bit liberal. (The older I grow, the more
conservative I become.) Those who prefer their fractals
brilliant
might consider the result worth the effort however.
Thickening clouds, increasing humidity, and a temperature of 91F 33C
made today less than ideal here at Fractal Central. The
fractal
cats do not demand perfection however, and they passed a good part of
the day curled in their cat cubes.
Meanwhile, the humans had a passable day, with little of note to
report. The next FOTD will be posted in the prescribed
time. But most likely, there will be no FOTD's for July 15,
16
and 17. Until whenever, take care, and perhaps reality is
nothing
more than interacting field patterns.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
On_the_Bright_Side { ; time=0:12:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=recip
center-mag=-0.2529472194990865/+0.0000000017984885\
/3.69507e+012/1/155/0 params=2.00001/0/22/0 float=y
maxiter=10000 inside=0 outside=summ
periodicity=6 mathtolerance=0.05/1
colors=000RBPQBPQBPQBPQBQPBQPBQPBQPBRPBROBROBSOBSO\
BSNBSNBTNBTNBTMBTMBUMBUMBUN9TMAUMBUMCVMDVMDVLEWLFW\
LGWLGXLHXKIYKJYKJYKKZKLZJMZJN_JN_JO`JP`IQ`IQaIRaIS\
aITbHTbHUcHVcHWcHXdGXdGYdGZeG_eG_fF`fFafFbgFbgFcgE\
dhEehEfiEfiEgiDhjDijDijDjkDkkCllCllCmlCnmComArnBpm\
ComDmmElmEjmFilGglHflHelIclJbkK`kK_kLYkMXkNVjNUjOT\
jPRjQQjQOiRNiSLiTKiSIjTJiTJiTKiTKiTLiTLiTLiTMiTMhT\
NhUNhUOhUOhUOhUPhUPhUQhUQgUQgURgVRgVSgVSgVTgVTgVTg\
VUfVUfVVfVVfVVfWWfWWfWXfWXfWYeWYeWYeWZeWZeW_eX_eX`\
eX`eX`dXadXadXbdXbdXbdXcdYcdYddYdcYecYecYecYfcYfcY\
fcYgcWgbXfcXhcYgcYgcZgcZhc_hd_hd`id`idajdajdbjdbke\
ckeckedledleemeemefmffnfgnfgnfhofhofipfipgjpgjqgkq\
gkqglrglrhmsimsjnskntlotmotnpuopuqqvsqvurvwrwxswyv\
yzuxztxzswzrwzqwzpvyovxnvwmuulusluqktojtmiskhsigsg\
freerddrdcqdbqcbqcapc`pb_obZobYoaXnaWnaVn`Um`Tm`Tm\
_Sl_Rl_QkZPkZOkZNjYMjYLjY }
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=========================================