April 12, 2013: Floating Continents | April 10 | April 14 | 2013 | FOTD Home |
Fractal visionaries and enthusiasts:
Today's
image is a
trip into the world of close-to-linear fractals. The exponent
of
Z is 1.009, which is not quite linear but close enough to give a good
idea of how things might go as the exponent approaches ever closer to
unity but never quite reaches it.
I gave the image the unlikely name "Floating Continents". The
inspiration most likely was a painting by Magritte, which depicts large
chunks of landscape floating in a vast empty space.
The parent fractal is another of those very low order torpedoes, with
today's scene located in a bit of debris at the edge of the nearly
featureless main bay. There might possibly be minibrots
hidden
somewhere in this debris, but so far I have found none.
The rating of a 7 is only average; the calculation time is an
annoyingly slow 13 minutes, but this annoyance can be avoided by
checking the finished image on one of the FOTD web sites.
Rain with occasional grumbles of thunder hung on most all day here at
Fractal Central, while the temperature stopped short at a rather chilly
50F 10C. The fractal cat wanted more sun but satisfied
himself
with more food instead. The humans wanted less rain.
The next FOTD will be posted in a number of hours. The
question
is the exact value of that number. Until whenever, take care,
and
why have those 'end of the world' shows become so popular on
TV?
Could it be that people are disturbed by what they see coming in the
not-too-distant future?
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
FloatingContinents { ; time=0:13:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident passes=1
center-mag=-3.893895417262991/-1.242689299920607/\
1.939e+009/1/-177.7/0 params=1.009/0/2/3500 float=y
maxiter=3600 inside=255 logmap=-1238
periodicity=6 mathtolerance=0.05/1
colors=000rzztycsxGrwGqvGtucrtGnsGmrIlqGkpFjqEinDh\
mCglAfk9ej8di7ch6bg5af6`e6_d7Zc7Ya7W`8V_8UZ8TY9SW9\
RV9PUAOTANSAMQBLPBKOBINCHMCGKCFJDEIDDGDBEEABE99E87\
F75F71D64F76H88I9BKBDLCFNDIOEJQFKRHLTINUJOWKPXMRZN\
S_OTaPVbQWdSXeTYgU_hV`jXakYcmZdn_ep`fqadrbcrcard`r\
dZseYsfWsgVshTshStiQtnFznEznDznCzuFzqDznCzkBzhAze9\
zb8z_7zX6zU5zS2zR4zR5zR7zR8zRAzRBzRDzQEzQGzQHzQJzQ\
KzQMzQNzPPzPQzPSzPTzPVzPWzPYzPZzMWzKTzIQzGNrEKsBHt\
9Eu7Bv58w07z26y36x56w66v86u96uB6tC6sE5rF5qH5pI5pK5\
oL5nN5mO5lQ4kR4kT4jU4iW4hX4gZ4g_4fa3eb3dd3ce3bg3bh\
3aj3`k3_m2Zm2zm2zm2zm2zm2zm2zm1zm2zm2zm3zm3zm4zm4z\
m5zm5zm6zm6zm7Vm7Vm8Vl8Vl9Vk9VjAViAzhBzhBzgCzfCzeD\
zdDzdEzcEzbFzaFzaGz`Gz_HzZHzYIzYIzXJzWJzVKzUKzULzT\
LzSMzRMzQNzQNzPOzOOzNPzMPzMQzLQzKRzJRzISzJRzJRzKRz\
KRzKRzLRzLRzMRzMRzMRzNRzNQzOQzOQzOQzPQzPQzQQzQQzQQ\
zRQzRQzSPzSPzSPzTPzTPzUPz }
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=========================================