October 24, 2010: Elephant Wreath | Oct. 23 | Oct. 25 | 2010 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Elephants are everywhere in Seahorse Valley of the Mandelbrot
set. They come in all sizes, shapes and colors.
They also enjoy doing tricks. The elephants in today's image
have formed themselves into a wreath, a bit too early for the season to
be sure, but decorative just the same. The name "Elephant
Wreath" describes the scene well enough.
The image is stretched more than 1000 times (1083 to be exact) in the
horizontal direction. Such stretching is necessary to correct
the natural distortion of the scene, which lies in an orientation
rotated 10 degrees from the Rectangular toward the Oblate.
The rating of a 5 might be a bit too conservative, but how much can a
holiday wreath decorated with elephants be worth?
The calculation time of 11-1/2 seconds is fast by any standards.
A frosty morning gave way to warm sunshine and an afternoon temperature
of 64F 18C here at Fractal Central on Saturday. (It reached
73F 23C at Old Fractal Central 150 miles 240km south of
here.) The fractal cats slept through most of it.
My day, which was occupied with a trip back to Old Fractal Central, was
otherwise uneventful. The next FOTD will likely be posted
within 12 hours, which will bring the FOTD up to date if it
happens. Until next time, take care, and keep alert for that
quantum stuff. It's lurking everywhere.
Jim Muth
jamth@mindspring.com
START PARAMETER FILE=======================================
Elephant_Wreath { ; time=0:00:11.52-SF5
on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot4 center-mag=-0.003041525\
45290287/0/16.30635/1083 params=100/90/0/90/0.265/\
0/0/0/2/0 float=y maxiter=1500 inside=0 logmap=48
symmetry=xaxis periodicity=6 mathtolerance=0.05/1
colors=000BaMCbODcOEdQFeSGfUHgWIhYJiZKjYMkYOlXQmXS\
nWUoWZrVcuVhxUmzUruVvrVwnVzkWwhWmeWcbWUZXKWWJVVHTV\
EQUCNTAKS9IS8HS7GS6FR5DS4CQ3AO25M10K00K40K70KA0KD0\
KG4PK4UN4ZQ4cT4hW4lX6nY7oY8pZ9rZBs_Ct_Dv`Ew`FxaHub\
IrcKpcLmdNkeOheQffRcgT`gUZhWWiXUiZRj_PkaMkbKhaMe`O\
c_Q`_RYZTWYVTXXRXYOW_LVaJUcGUdDTfBSh8Rj6Rk8ShATfBU\
cDUaFV_GWXIXVKUULVUNWUOXUNYUNYUMYUMXVLXWLXXLWYKWZK\
W_JV`JVaJVbIScIQdHNeHLfGMgGNhGNiGOjGPkGPlV0PX1OY1N\
Z1M_1L`2La2Kb2Jc2Ie3Hf3Hg3Gh3Fi4Ej4Dk4Dl4Cn5Bo5Ap5\
9q59r68s67t66u66r9BoCGlFLiHQfKVcN_pIZaPcP_mOWhNTcN\
Q_MNVMJRLGMLDIKADK79M9ANBBODCPEDRGESIFTJGULGVNHXOI\
YQJZSK_ULaVMbXNcZNd_OeaPgcQhdRifSjhTjlVkiTkfSkdQka\
Pk_NlXMlUKlSJlPHlNGlKEmHDmFBmCAmA8m77m56l66k76k86j\
96jA6iB6iC6hD6hE6gF6gG6fG6eH6eI6dJ6dK6cL6cM6bN6bO6\
aP6aQ6`R6`R6_TD_UK_VQZWXZXcZYibVeeSaiPZlMVoJRsGOvD\
KyBHo9DqjdsleunfvT9vpghQY }
frm:SliceJulibrot4 {; draws all slices of Julibrot
pix=pixel, u=real(pix), v=imag(pix),
a=pi*real(p1*0.0055555555555556),
b=pi*imag(p1*0.0055555555555556),
g=pi*real(p2*0.0055555555555556),
d=pi*imag(p2*0.0055555555555556),
ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
sg=sin(g), cd=cos(d), sd=sin(d),
p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9
c=p+flip(q)+p3, z=r+flip(s)+p4:
z=z^(real(p5))+c
|z|< esc }
END PARAMETER FILE=========================================