|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: When I was working with yesterday's formula, which is the Mandelbrot version of today's manowarj formula, I could find no truly open areas in which the points are definitely trapped. This does not mean such areas do not exist, only that if they do, I found none of them. Today's Julia version continues the same trend. True, a large open area does lie at the center of today's image, but the area is not truly open. It shrinks as the maxiter is increased, and with a large enough maxiter would likely vanish entirely. With today's image I can see why the formula is named manowar. The shape in the picture looks just enough like a drifting portuguese man-of-war to inspire its name. In the twisting elements of the image, the tentacles swirling in the currents can be imagined, as I suppose the sting can also be, at least by those who have been stung by one of these colonies of jellyfish. The magnitude of the image is a measly 3.4, yet it takes almost one hour to render on my worn-out P200 unit. (It renders in just under 7 minutes on my fastest machine.) The slowness is due to the unusually large maxiter of 250,000 and the lack of periodicity to speed things up in the large pseudo-open area. As for a rating -- I could give the image only a 5. It is basically a slight enlargement of half of the parent fractal -- something that most casual explorers would come upon. To make matters worse, when the render time of almost one hour is taken into consideration, the overall worth registers a nearly worthless 8.7. But all is not lost, for the rendering wait can be eliminated by downloading the already-rendered image from the FOTD web site at: Wednesday turned out to be a repeat of Tuesday here at Fractal Central, with lots of sun and a temperature of 61F 16C. The cats had another great day. Today is starting cloudy and not quite as warm. The cats will likely find it good enough, but only time will tell for sure. My good day will be delayed until the unexpected large design job now before me is put behind me. The next FOTD fractal will appear in 24 hours. Until then, take care, and be an activist for the environment. Go out and Demonstrate against a butterfly catastrophe. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
PortugueseManOfWar { ; time=0:57:39.31--SF5 on a P200
reset=2004 type=manowarj center-mag=-0.00783669/\
-0.291023/3.392057 params=0.03/0 float=y inside=0
maxiter=250000 bailout=9 logmap=yes periodicity=10
colors=000bHi_JgXLdUMbRO`OPYLRWKSVJRUIQTHPSHORGNQG\
MQFLNEKKCJHBIF9IC8J97K7DMCJPHQSMXWRbZWha`mceqdjsgk\
uhnsgmpdmn`lkXlhVkfUkeYmddockqbrsaup_xnZzkYziWygUu\
fSqdRmcPjaNf`MbZKZYIVWHSVLU`OWfRYkU_qZ`uXavWawUawT\
axSaxQbyPbzNbzMbzLbzJczIczGczFczEczHbzKbyNawPauS`s\
V`qX_n__lbZjdZhgYfjYdwXglYbbZZS_UI`Q8aMBbNDcNFdNHe\
NJeNLfNNgNPhORiOTiOVjOXkOZlO`mOTezbmOajRahU`eW`cZ_\
``_Zcs8Y_XeEweHumrIWzCRsGVlKZdObYSfQWjBVlJ_nRcoZgq\
olzfkrZkfQkVIkJAk8ClFDlMElSFlZHleIlkJlrKlxOfrSamWW\
g_RbcLXgGSkAMo5HpGJpRLq`NqkPrwTquRpsQoqPnoOmmNlkMk\
iLjgKieJhcIgaHhaFg`Gg_GgZHgZHgYIgXIgXJgWJgVKgUKgUL\
gTLgSMkRKgSMcSN`SPXSQUSRQSTNSUJSVGSXCSY9SZDUYGVXKW\
WNYWRZVU_UGQfX`UllJmjImiImhHmgHmfGneGndFncFnaEn`Eo\
_DoZDoYCoXCoWBtW9oVBjUDeUE`TGWSIPQESSJVTNXUS_WWaX_\
dYdfZhi`lkaqnbupcyq`xqZxqWxqUxrRxrPxrMwrKwsHwsFwsC\
wsAwv6zs8wpAumBrjDpgEndGk }
END PARAMETER FILE=========================================
|
times.
