FOTD -- May 06, 2012 (Rating 9) Fractal visionaries and enthusiasts: For today I see we have a fractal that earns a splendid 9. Hopefully, we're beginning a spell of high-quality images that will bring awe and wonder to even the mildly interested fans of the wonders of fractals. Today's parent fractal came about when I subtracted 0.525 parts of Z^(-1.32) from 0.75 parts of Z^(1.23) then added straight C on each iteration. This combination produces a fractal that resembles a twisted Mandelbrot set with its main bud on the southwest side of the oversized main bay, and the northeast shore line of the main bay seriously eroded. Today's scene lies on the zigzagging spike extending south from the main bud. To add a bit of zest to the image I rendered it with the outside set to 'real', which eliminates the boring flatness that spoils the normal 'iter' version. The name "The Birth of Light" sounds rather mystical and is fully appropriate for an image made of numbers. The calculation time of 1-3/4 minutes should cause little impatience. To eliminate all chance of impatience, a finished 640x480x256 version of the image is online at: <http://www.crosscanpuzzles.com/Archives.html> A high definition rendering is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Thousands of past FOTD fractals and discussions are available at: <http://www.Nahee.com/FOTD/> Today brought morning clouds to Fractal Central and sun for most of the afternoon. The temperature of 72F 21C must have satisfied the fractal cats, who slept the entire afternoon. There was no FOTD on Saturday, May 5, because FL and I took the day off to visit an antique emporium in State College, a city about 60 miles (100km) west of here, where the Penn State child abuse scandal recently broke. But, at least while we were there, one would never guess there had even been a scandal. Today, we simply took it easy. The next FOTD will appear soon. Until that vague time arrives, take care, and be alert for the forces of evil. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= The_Birth_of_Light { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.1124714981231962/-1.120273183136637/\ 5.93854e+011/1/-23.75/0 params=0.75/1.23/-0.525/\ -1.32/0/0/0/0 float=y maxiter=1600 inside=0 outside=real periodicity=6 mathtolerance=0.05/1 colors=000FLjGJkIHlKFlMDmNBnP9nR7oT5pS2tU3pW4mY5j_\ 5ga6dc7`e8Yg8Vi9SkAPmBLoBIqCFsDCuE9xA4vE6uH7sK9rNA\ qQCoTDnWFmZGkbIjeJihLgkMfnOeqPctRbwSazTbwUcuUdsUdq\ VeoVfmVfkWgiWhgWieXicXjaXk_YkYYlWYmUZnSZnQZoO_pM_p\ K_qI`rG`rE`qF_qFZqFZqFYpFYpFXpFXpFWpFWoFVoFUoFUoFT\ nFTnFSnFSnFRnFRkIUiKWgMZeP`cRcaTeZWhXYjV_mTboRdrPf\ tMiwNhvOgvPgvQfvReuSeuTduUcuVctWbtXatYatZ`s__s`_sa\ YsbWrcVrdTreRrfRr`YmWaiZbb`aWbcQddJcd5fiDhdLkZTmY`\ pUhuNprNppHpmMpkLpiLpfKpdKpbJp_IoYImWHkTHiRGgPEfMA\ eK8dI6cF4bD2aB0`80_bORUIGcRRrRSycJzmAujBtgCreCobDo\ `DnYEnWFmSFmQGmNGlKHlIIkGIkDJkBJiAIg9He8Gb8F_7EX6E\ U6DR6CO5BM5AK5AI49G48E37C36A357254242230120110115F\ D5SO5d_5zj7zh8zgAzfBzdDzcEzbGz`Hh_IhZKhXLhWNhVOhUQ\ jSRjRSoQUqOVpNXoMYnK_nJ`nI`qCanHbkLchPdeTebYf_agXe\ hUihRmmb`rnOnlQkkRgjSdiUahVYfWVeXRdZOc_Lb`H`aE_cAZ\ d7Ye2Ze4Xf6Vg8Th9RhBPiDNj } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================