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 Z^2 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 over- sized 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 mathemati- cal 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: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> 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 passes=1 center-mag=-2.055475186118577/+0.3545724568315621/\ 1.564961e+010/1/57.5/0 params=3/2.66 float=y maxiter=2400 inside=0 logmap=408 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=========================================