July 12, 2010: Arc-Tangent Does It | July
11 |
July 13 | 2010 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's image is located in the middle of nowhere. Well, it's
actually located in a parent fractal resembling a Mandelbrot set
starting to split apart along its negative X-axis. The scene lies
in the apparently empty space between the two spread-apart branches of
the parent's Scepter Valley.
When I first rendered today's image in the usual manner, it was a total
flop. But thanks to Fractint's various rendering options, I
raised the total flop to a rating of an impressive 8.
The delicate and decorative fern-like features jutting in from the
edges consist of 'outside' stuff exaggerated by the 'atan' option; the
soft, gently colored aura surrounding the order-3.5 minibrot is
'inside' stuff made visible by the 'fmod' option. Put all of this
together and the image honestly earns its 8.
The name "Arc-Tangent Does It" came to mind when I tried the 'atan'
feature on the original near-hopeless image and saw the unexpected
improvement. Re-rendering the scene with the 'fmod' inside was an
afterthought.
The calculation time of 1-1/4 minutes will pass swiftly once the full
glory of the scene becomes apparent.
According to the fractal cats, a splendid day prevailed here at Fractal
Central on Sunday. The humidity was quite low and the sky was
completely cloud-free all day. True, the temperature of 88F 31C
was on the warm side, but the dry air kept things quite comfortable.
With the work caught up after a hectic week, my day was spent trying to
relax. My next task is to stay caught up and relaxed so I can
finish a logo for the FOTD web site. I have the design, which
includes some 4-D stuff, worked out, but I have not yet done the
footwork. FL spent the day Sunday giving hints that it was her
birthday. (I had not forgotten.)
If all goes well, and even if it does not, the next FOTD is quite
likely to be posted in 24 hours. Until then, take care, and
iterate wildly.
Jim Muth
jamth@mindspring.com
jimmuth@aol.com
START PARAMETER FILE=======================================
Arc-TangentDoes_It { ; time=0:01:13.71-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-2 function=recip inside=fmod
center-mag=-1.267991618657123/-0.0061887110744204\
/199069.8 params=3.5/-99/0/0 float=y maxiter=2500
proximity=0.0003 outside=atan periodicity=6
colors=000000000000000000000000000000000000000000Z\
7O_7O`7OXAPTDPQFPMIPGLOJKPLKQNKQPKRSKSUKSWKTYKU`KU\
bKVdKWeJXfKWfLVfMVfNUfOTfPTfQSfRRfRRfSQfTPfUPfVOfW\
NfXNfYMfZLgZLg_Kg`JgaJgbIgcHgdHgeGgfFgfFggEghDgiDg\
jCgkBglBgmAgmAhkBhjBhiBhhChgChfCheChdDhcDhbDhaDh`E\
h_EhZEiYFiXFiWFiVFiUGiTGiSGiRGiQHiPHiOHiNIiMIiLIiK\
KjJMjIOjHQjGSjFUjFWjGYjH_jIaiJchKegLgfMieNkdOlcOmb\
PmbQnaRn`So`To_Up`UpaUq_UpaVqbWqcXqdYqfZqh`qkbrmdr\
ofrqhrsjrulrwmrpimiemcbmXZmRWnKSjEPf7Lb0HZ1IZ2IZ2I\
Z3IZ3IZ4I_5I`5Ia6Ib6Ic7Id8Ie8If9Ig9IhAIiBJjCKkDLmE\
MoFNqGOsHPtIQuJRvKSwLTwLTwLTwLTxKTyKTzKTzKTzJTzJTz\
JTzITzITzITzITzHTzHTzHTzGTzGTzGUzGUzFTzFTyFTxETwET\
vETuETtDTsDTrDTqCTpCToCTnDUmCTlCSkCRjCRiBQhBPgBOfB\
OeANdAMcAMbALa9K`9J_9JZ9IY8HX8HW8GV8FU7ET7ES7DR7CQ\
6CP6BO6AN69M59L58K57J36I57H67G56F45E34D23C12B01A00\
9008007006005004003002001 }
frm:FinDivBrot-2 { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }
END PARAMETER FILE=========================================