; Date: Mon, 16 Jul 2007 21:34:56 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 17-07-07 (Uncut Jewels [7]) ; ; Id: <1.5.4.16.20070716214017.2b87d2e2@pop.mindspring.com> ; --------- ; ; FOTD -- July 17, 2007 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; In today's fractal formula we combine 1 part of Z^(1.5) with 1/2 ; part of Z^3 and add straight C. This formula produces a parent ; fractal that consists of two symmetrical and partially merged ; Mandelbrot sets facing north and south. Today's image is ; located on the western shoreline near the X-axis, where the two ; sets merge, and a small but curious kind of bud is located. ; ; The parent of today's image is symmetrical around the X-axis, ; but it is a very critical type of symmetry. If the exponents of ; Z are changed from 1.5 and 3, the symmetry vanishes at once. If ; Z^3 is changed to Z^2.5, and all else kept the same, the ; resulting parent fractal is one of the most unusual I have yet ; encountered. ; ; I named today's image "Uncut Jewels". The four faceted elements ; remind me of diamonds in the rough. I rated it at a 7, which ; might be a bit high, but it's really a rather pleasing fractal. ; ; The included parameter file runs in 31 seconds on my fast ; fractal computer. The old P200 would take about 3 minutes to ; finish the job. As always, the best way to see the finished ; image is to go online to the FOTD web site at: ; ; ; ; and view it instantly there. ; ; With a temperature of 86F 30C, Monday was a bit too warm to be ; considered perfect. But I doubt that anyone noticed the ; deficiency. The cats kept themselves occupied chasing each ; other, hiding, and suddenly pouncing. My day was suitably busy. ; If all goes well, tomorrow will be the same. ; ; The next FOTD will appear in 24 hours. Until then, take care, ; and if a farmer has seven daughters and each daughter has a ; brother, how many children does the farmer have? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Uncut_Jewels { ; time=0:00:31.04-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=-0.26485847107386810/-0.037316662862560\ 15/1.227384e+009/1/97.5/-7.40612221022743378e-005 params=1/1.5/0.5/3/0/0/0/0 float=y maxiter=750 inside=0 logmap=64 periodicity=10 colors=000666999DDDGGGJJJNNNQQQZZZiiilllnnn0rp0tr0\ uz0uz3lwBelGZlJblNglQllUrlOpXOlIOiGOjGOlENlEUj9Zi5\ eg2j`0pQ0j90b00m89nTSp_VrdVtlhuruzzzzzzNG6B8600600\ 6808S08N08E08809O0BeBJwNUzZbzjlzwuzz0zz0zzzzz0zz0z\ rSzUOz6LzcU0z`0zX0zW0zU0zQ0zO0zN0zJ0zG5zD9z9Gz6Lz3\ Qz2Sz0Uz0Wz0Xz0Xz0Zz0`z2`zDbzQbzbcznczzXyjSyXNwJGw\ 5Bu06u0WzwZyu`rtbircbrgWpiNnjGll9lbQuSezIwz8zzIzzS\ zz`ztjzjtzcuziuzlwznwppycryUtzItz8uz0wz0yz0yu0zp0z\ j0zc0zZ3zU9zNEzIJzDOz6Uz2`z0ez0jz0pz0uzNG0OL0QQ0QU\ 0SZ0Ub0Ug0Wj0Xp0Xt0Zy0Zz0Sz0Lz0Ez08z02z00z20z50z65\ n0OS0i60z00z00z00z03z0Bz0Lz0Uz3bz5jz6tz3jz0cz0Xz0Q\ z0Jz0Dz06z00z00z60zD0zJ0zQ0zX0zc0zj0zr0zy0zz0zz0zz\ 2zz3zz3zzDzzLzzUzzbzzlzzuzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzbzzDzz0zz0zz0zz0zz0zz0zz2zz5zz8zzBzzEzzIzzL\ zzOzzSzzWzzQzzNzzJzzEzzBzz8zz5zz0zz0zz0zz0zz0zz0zz\ 0zz0zz0zz0zz0zz0zz0zz0zz0 } 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========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint