Fractal of the Day
by Jim Muth
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FOTD -- May 07, 2009 (Rating 7.5)
Fractal visionaries and enthusiasts:
ALERT! -- NEW FORMULA RENAMED!
The name I gave yesterday's new formula -- DivideBrot5a -- is a repeat, so I took the DivideBrot5a formula and renamed it "NewDivideBrot", which is actually a misnomer, since the iterated part now multiplies Z2 by recip(z^(a)+b) instead of dividing it by (z^(a)+b). The change not only makes the formula run about 10-percent faster, it also adds flexibility.
Today's image lies in a quasi-seahorse tail in the rudimentary Seahorse Valley of the parent fractal, which resembles an oversized and rapidly developing Mandelbrot set with a few added attractions scattered about in the interiors of the bays and buds.
I named the image "Interest in Infinity". Almost all mathematical fractals are infinite in one way or another. I rated it at a 7-1/2, which includes 1/2 point for the modicum of effort I put into the coloring.
The image is a rather pleasant and decorative cubic minibrot. And the spiral effect actually helps the scene along. The calculation time of 4-1/4 minutes may be cut to almost nothing by visiting the FOTD web site at:and peacefully viewing the finished image there.
Heavy clouds kept the fractal cats of Fractal Central suppressed once again on Wednesday. The work slowed somewhat, though not as much as I had expected. The next FOTD will be posted in 24 hours. Until then, take care, and wait for the new world with eager enthusiasm.
Jim Muth
jamth@mindspring.com
jimmuth@aol.com
START PARAMETER FILE=======================================
InterestInInfinity { ; time=0:04:14.00-SF5 on P4-2000
reset=2004 type=formula formulafile=basic.frm
formulaname=NewDivideBrot function=recip logmap=408
center-mag=-2.055475186118577/+0.3545724568315621/1\
.564961e+010/1/57.5/0 float=y passes=1 maxiter=2400
params=3/2.66 inside=0 periodicity=10
colors=000oQekObhM_dKWVIPVGQWARY9RZ8V`7Za6bc5ee4if\
3mh2qj1uk3xg6sd9n`CiYFeXI`VMWQPSKRNITIGVEEXQCaUAdY\
8h`9qdAyg9xe9wd9vc9va9u`8t_8tY8sX8rW8rU7qT7pS7pQ7o\
P7nO7nNGaXPQeYEnf2wg9qgFlhLfhRahXWibRihLinGciKZeOU\
`RPXVJSZEOa9Je4FhCLfKQeRWdZ`cffbmkanicogdoeepdfpbg\
q`hrZirYksWlsUmrSnqUooWpmYmk_hiacgcZeeUcgPaiKbkJcm\
OdoUeqZfpdgoihnohmqflseluclwblx`ly_lzZlzXlzWlzUlzT\
lzRlzQlzPlzOkzNkzMjzLjzKizJizJizIhzIhzIgzHgzHfzHfz\
GfzGezGezFdzFdzFdzKfzPgzThzYizbjvfkrkimmcmhemdYhbV\
c`TZZQUXOPWMKXLFXKCYJCYICZHDZGD_FD_ED`DE`CEaBEaAEb\
9Fb8Fc7Fc7FdBDeEBeIAfL8gP6gS5hW3iZ1ia0i`3i_6iZ8iZB\
iYEiXGiWJiWMiVOiURiUTPGX42`55Y68W7BU8ES9HQAKOBNMCQ\
KDUIEZGFcEGhCGmAMrCSwEXwGbwIgwJezNcrRamV`hZacgbZoc\
UwcWjaXg`Xe_XcZYaXY_WYYVZWU`USbSReQQhOPkMOnKOqVOtd\
OwoOzyWztbzoizjpzfmzarzXwzTzzXzz`zzdzzhzzmzzqzzizz\
bzzazzazzQzzUzzYzzazzezzi }
frm:NewDivideBrot { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
b=imag(p1)+0.00000000000000000001:
z=z^2*fn1(z^(a)+b)+c
|z| < 1000000 }
END PARAMETER FILE=========================================
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