FOTD -- February 27, 2012 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image, which resembles a minibrot with a necklace of jewels, came about when I combined Z^1.5 with half as much Z^3 and added straight C on each iteration. This parent fractal consists of two well-separated Mandelbrot sets connected by a broad strait, with the northeast area of the main bay of one connected to the southeast area of the main bay of the other. The math energies in the connected parts of the minibrots are mirror images, so they blend harmoniously. The inner details of the two Mandelbrot sets are what would be expected in the same areas of the classic Mandelbrot set. But the strait connecting them, where today's image lies, holds totally new stuff. I named the image "Rough Diamonds". The name was inspired by the sparkling jewel-like areas surrounding the central minibrot, which remind me of diamonds. The rating of a 7-1/2 includes a half point for the coloring. Without the effort I put into the coloring, the image would be nothing. The calculation time of 50 seconds is unusually fast, leaving no time for impatience to raise its fidgety head. Of course, it is always a minor task to set up and run the included parameter file. So make life easier for yourself. View the completed image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> without the need to calculate it. The high-definition version of the image is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original, classic FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Clouds and sun mixed together here at Fractal Central today, while the temperature reached a pleasant high of 55F 13C. The fractal cats nodded their approval of the conditions, but it seemed apparent to me that they would have preferred more sun. We humans had a relatively normal day of doing the routine things adult humans do to avoid pondering the mysteries of reality. The next FOTD will be posted in 24 hours. Until then, take care, and the days of one's life might be very similar, but no two days are exact duplicates. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Rough_Diamonds { ; time=0:00:50.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=-0.2648584710739/-0.0373166628626/4.064\ 188e+009/1/155/0 params=1/1.5/0.5/3/0/0/0/0 maxiter=750 inside=0 logmap=82 periodicity=6 colors=00000900C00F00H00K00N00S00V00Z00c00g00k00o0\ 0r05A05A05A05A05A05A05A05A05A05A05A05A05A05A05A05A\ 05A050050666999DDDGHGJLJNQNQUQ`j`Yd`_kkhpnjvluzrzz\ z0uz3lwBelGZlJblNglQllUrlOpXOlIOiGOjGOlENlEUj9Zi5e\ g2j`0pQ0j90b00m89nTSp_VrdVtlhuruzzzzzzNG6B86006006\ 808S08N08E08809O0BeBJwNUzZbzjlzwuzz0zz0zzzzz0zz0zr\ SzUOz6LzcU0z`0zX0zW0zU0zQ0zO0zN0zJ0zG5zD9z9Gz6Lz3Q\ z2Sz0Uz0Wz0Xz0Xz0Zz0`z2`zDbzQbzbcznczzXyjSyXNwJGw5\ Bu06u0WzwZyu`rtbircbrgWpiNnjGll9lbQuSezIwz8zzIzzSz\ z`ztjzjtzcuziuzlwznwppycryUtzItz8uz0wz0yz0yu0zp0zj\ 0zc0zZ3zU9zNEzIJzDOz6Uz2`z0ez0jz0pz0uzNG0OL0QQ0QU0\ SZ0Ub0Ug0Wj0Xp0Xt0Zy0Zz0Sz0Lz0Ez08z02z00z20z50z65n\ 0OS0i60z00z00z00z03z0Bz0Lz0Uz3bz5jz6tz3jz0cz0Xz0Qz\ 0Jz0Dz06z00z00z60zD0zJ0zQ0zX0zc0zj0zr0zy0zz0zz0zz2\ zz3zz3zzDzzLzzUzzbzzlzzuzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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=========================================