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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The fractal for today came about when I iterated the expression Z^(1.5874)+C, 35 levels down the logarithmic ladder. The number 1.5974 is the cube root of 4. This is the same number that was used for the 'Forever Flappable' fractal that appeared on January 9th, 2 days ago, but that fractal was calculated 34 levels down the log ladder. Both resulting parent fractals are obvious Mandeloids, though they are shaped entirely differently. Today's image is named "Discombobulation-2". I'm not sure if there ever was a "Discombobulation-1", but I kind of like big words with little meaning. The name must have been inspired by the typical fractured low-order chaos that surrounds the midget near the center. The scene of today's image is located in a large area of complexity on the southwestern shore line of its parent fractal. I was not going to rate today's image, but at the last minute I gave it a reprieve and rated it at a very average 5. The included parameter file renders in under 1-1/2 minutes, about the same time it takes to visit the FOTD web site at: Winter arrived in full force on Wednesday here at Fractal Central as a morning snow shower dropped 2 inches, 5cm, of snow in one hour. The fractal cats interrupted their play activities for a few minutes to watch the big flakes fall. The sun appeared in the afternoon, but the brisk winds and temperature of 30F -1C made it feel quite cold. By this time, the cats were more interested in their tuna and cheddar treats. In between fractals I kept busy working and clearing the sidewalk. The next FOTD will appear in 24 hours. Until then, take care, and great fractals are not always there when you want them to be. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Discombobulation-2 { ; time=0:01:21.29--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC2 passes=1 inside=0 float=y
center-mag=-0.83822789924444010/-0.411647447821357\
10/9746.991/1/117.5/-5.08849906655228779e-012
params=1.5874/0/-35/0 maxiter=1800 periodicity=10
logmap=32
colors=000bD6ZBAVADR8HO7KUFM_NNeVOkaPzwHy_6rXAlVEf\
SI_QMUNQOLUIJXGOWFSWEXVCaUBfTAjT7WO4HJ23E2UM2tUmzS\
mzQJuPPuNVuL_uK`mY`fj`_wJgk1o_3qc4rg6sk7to8usSZeLa\
gEch7ej1gkAffJeaSeX`dSicNrcJs_HtWGuTFvPEwLDwICuNUt\
RjsVgrZerbbqf`pjZpnWorUouS0R05Y5Ad9FkDKrHPyLOtRNoW\
Mk`LfeLbjN`ZOZNQXBRV0NeFJoTGyfIvaKtYMqTOoPQlLSjGUg\
CWe8VbEU`JTZPTXUSVZRTdQRiQPnPaqZRlgHh`E`UBUN8NG5GF\
BKEHODNSCTWBZ_AccAbbAbbAbbAbaAbaAbaDebGgcJidMkdPne\
SpfVrgXtgWkXWcNWWCWO2TEugPTv_1wY5xW8xUCySFyVIwZJvc\
KthLsmMqrNpvNGzdJzfMzhPziSzkVzmYzn`zpbzq9z8CzCFzGH\
zKKzOMzSPzWRzZOzSLzMJzGPzOUzV_zbdziuzfvzYvzPvzGkzJ\
`zMQzPFzS4zUUziszyqzqpziozbnzVmzOlzGkz9bzCVzFNzITz\
EYzBXzGWzLVzPUzUTzZTzb`zShzIlzLpzOszQwzTzzVmzRazNP\
zJDzFHzELzDPzCTzBXzA`z9dz8hz7RzE9zL8zX8zgrzUszStzQ\
uzPvzNwzMxzKxzJszWnzgizsczoYzkTzgNzdIz`CzX7zUUzSUz\
QUzOUzNjz`gzYdzVazTbzLbzD }
frm:MandelbrotBC2 { ; by several Fractint users
e=p1, a=imag(p2)+100, p=real(p2)+PI
q=2*PI*floor(p/(2*PI)), r=real(p2)-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=========================================
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times.
