August 23, 2012: Square Root Reciprocal | Aug. 22 | Aug. 24 | 2012 | FOTD Home |
Fractal visionaries and enthusiasts:
To
produce today's
little masterwork, I took the expression Z^(sqrt(2))+C and calculated
it 0.707106781 levels up the logarithmic hyperspiral. (The
hyperspiral is another name for the hyperladded.) By no
strange
coincidence, 0.707106781 is the reciprocal of 1.4142135624, the square
root of 2.
The resulting parent fractal is a monster with more convolutions than a
street map of Tokyo. Today's image lies in the Seahorse
Valley
area of the parent, though one would never guess it by looking at the
parent. Rarely have I seen such an obscure Seahorse Valley.
The rating of a 6 is a sign that I am not very impressed with the
image. We have seen too many similar images over the past 15
years of the FOTD.
The name "Square Root Reciprocal" describes the expression that created
the image.
The calculation time of 3-1/4 minutes is slow, though still faster than
yesterday's. Visit the web sites for a speedier way to view
the
image.
A near perfect day passed by peacefully here at Fractal Central
today. The fractal cats heartily approved of the near
cloudless
skies and temperature of 84F 29C. The humans went through the
day
with nothing exceptional to report. The next FOTD will be
posted
in more than an hour but not as much as a week. Until
whenever
that might be, take care, and it seems we're becoming so frantic to
stay healthy that we have forgotten how to live.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Sqrt_reciprocal { ; time=0:03:15.00 SF5
at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=cosxx passes=1
center-mag=+0.8559664295/-0.0636040039/13101/1/\
50/0 params=1.4142135624/0/0.707106781/0 float=y
maxiter=3750 inside=0 logmap=146 periodicity=6
colors=000JBKIAII9HH8FG8EF7CE6AE59D57C46B34B33C43C\
53C63C73C83C93GA6KB9OCCSDEWEH_EKcFNgGPkHSoIVsIXoHW\
lGVhFUeEUaDTZDSVCRSBRPAQL9PI9OE8OB7N76M45L15L4BS6G\
Y8McARiCQoRPjQKeQFaPAYPAUQCPRELSGHTHITJJULKVMLWONW\
QzXRzYTzZVz_Wz_Yz`_za`zbbzbdzcezdgzeizejzZdzTZzMUz\
GOzAJzAIzAIzAHzAHzAGzAGsAFsAFsAFrAErAEqADqADqACzAC\
z99zACzAEzBHzBJzCLzCOzDQzDSzEVzEXz9PzCUzEZzGbVJgaL\
lhFqpJpoNpoQpoUooXoo`ondnngnnknnqppnnnklmhjlehkbgj\
`eiYchVagS`fPZeMXzKVzHUzESzBQz8Oz7Rz4Mz6Nz7Oz8Pz9Q\
zBRzCRzDSzETzGUzHVzIVzJWzLXzMYzNZzOZzQ_nR`oSapTbqY\
etUbqR`nOYkLWzHTzERzBOz4Lz6Mz8MzAMzCMmDMmFMmHMmJMm\
LMmMMmOMmQMmSMmUMmVMmXMmZMm`MmbMmzMEzMDzMCzMBzIBzK\
AzMAzO9zQ9zS8zU8pWmrYms_mtamvcmwecxgcyiczgczeczdcz\
bcz`czczzczzczzczzczzczzczzczzcbzcezcgzcjzclzcozcq\
zcszmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\
zzmzzmzzmzzmzzmzzmzzmzzmz }
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=========================================