Dec. 12, 2014: Floating Elephants | Dec. 11 | Dec. 14 | 2014 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today we continue with the series of images created by the simplest
formula of all -- Z^2+C. Today's image is a scene in East
Valley
of the Mandelbrot set, which is also known as Elephant
Valley.
But the image is sliced in the Rectangular direction, so don't expect
the usual elephants. What we have instead is a stack of
floating
elephants of various shapes and sizes on the left, and on the right, a
featureless pile of elephant back ends. The name "Floating
Elephants" refers to the more recognizable elephants on the left.
The image has been stretched about 300 times in the vertical
direction. Without the stretching, this view of East Valley
would
be nothing more than a horizontal hairline.
With a calculation time of 1-1/3 minutes, the image is a quick one,
though not fireball fast. Checking the finished image on the
web
sites will take about the same time.
A cloudy sky with a temperature of 39F +4C made today a typical
mid-December day here at Fractal Central. The fractal cats,
with
no big fat snowflakes to distract them, spent the day sleeping and
playing. A couple times the youngsters, Jasmine and Lida,
annoyed
the old timer, Nicholas, but a fierce scowl and hiss kept them under
control, while the humans kept busy with other things. The
snow
from yesterday, which was all fluff to start, disappeared almost as
fast as it had appeared, so there was no need for additional sidewalk
clearing.
The next FOTD will be posted in two or three days. Until
then,
take care, and think deep thoughts about your favorite outrage.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Floating_Elephants { ; time=0:01:20.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot4 center-mag=-0.010602593\
14105792/+0.2554971796881464/421.2951/0.006604/90/0
params=90/90/0/90/0.282781/0/0/0/2/0 float=y
maxiter=6400 inside=0 logmap=17 symmetry=none
colors=000riiqjbpkXolQnmKmlEliLkeRjaXiYThUPiOMkMIl\
IFmHBnK8kPJhWTeYicamddiefefhhgikhgsfdueavd_xcZyZcs\
UbmP`gKZaHXYFVUDTQAPL8IH6BD45987GC9MGBSKDYOFcSHiWJ\
n_LsXNnUOiSPdPQ_MRVKSQITNHTLJTQNSJSRCLTEOhqLdgJ`ZH\
XPxk2ng5ec8X`BOXE_L9TOCMREci13CU5FS7IQ9KOANMCPKESI\
NuMLnKJgJH`Hk3wkZzeYr`XjVWbQVVKUNKhDJeEIcEH`FGZFFW\
GJVhIUbHUXGURFUL8i3Ae7CaAEYDQkNOhMNfLLdKKbJJ_IHYHG\
WGYyHUsGRnGOiGLcGIZGnmCbfER_FEUYFUVFUSFUPFUzFUzkGz\
`LzQQz`EzYGzVIzSKzQMzNOzKQzHSziZzaXzUWzMVzLNzJPzIQ\
zHSzGTzvrz`ezD7zEFzFNzAszBozClzCizDfzEbzE_zFXzkHz`\
MzQQz_AzXDzUGzRJzOMzLPzISzOSzMTzLTzmTZmUUmUPmUKm4u\
mj9mdCmZEmPNmQMmRLmSKmSJmTImUHmESmXomtUmoRmkPmfNmb\
KmYImKumOgmRUmQqmRgmSZmTPm_3mZ5mY7mX9mWBmVDmUFmI4m\
5Hm9GzCGzFGzIGzLGzOGzRGzpwzlpzijzfdzbYz_SzXMzQzzSj\
zTVzirzehzaZzYPz95zKBz5TzAQzEOzIMzMKzQIzxuzIDzLEzO\
FzRGz6`zcuzbuzavz`vz_vzbo }
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=========================================