; Date: Tue, 12 Aug 2008 21:28:09 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 13-08-08 (Fractal in Flight [7.5]) ; ; Id: <1.5.4.16.20080812212853.2abfadce@pop.mindspring.com> ; --------- ; ; FOTD -- August 13, 2008 (Rating 9) ; ; Fractal visionaries and enthusiasts: ; ; Today's fractal takes us into fractional powers of Z. In the ; image for today the exponent is 2.5. The value of 100 that I ; gave to imag(p5) assures that the parent fractal will be huge, ; and on the surface will resemble the Mandelbrot set. But deep ; inside the 2.5 characteristics will appear. ; ; Today's image is located on the edge of the infinitely divided ; main spike of the monumental parent fractal, in the area just ; east of the large minibrot. I named it "Fractal in Flight". I ; must have had a reason for choosing such a name, but the reason ; now totally eludes me. ; ; The rating of a 9 includes a full point for my coloring efforts. ; The unusual colors are the main feature of the image. ; ; There is no risk of impatience appearing when the included para- ; meter file is run. The calculation time of one brief minute can ; hardly be bettered. The image may also be seen on the FOTD web ; site at: ; ; ; ; A very pleasant summer day prevailed here at Fractal Central on ; Tuesday, with blue skies decorated with puffy clouds, and a ; temperature of 81F 27C. The cats, being fractal by nature, took ; the conditions in fragmentary bits and pieces. ; ; I took the day as it came, finishing the work on schedule with ; time for a pretty good fractal. The next fractal, a cosmic one, ; (not a comic one), will be posted in 24 hours. Until then, take ; care, and when you find your reality, cling to it. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Fractal_in_Flight { ; time=0:01:03.45-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideJulibrot passes=1 logmap=92 center-mag=-170.9755598748956/+0.1185530913812762/\ 1.643467e+009/1/172.5/0 params=0/0/0/0/0/0/0/0/2.5\ /100 float=y maxiter=1725 inside=0 periodicity=10 colors=000A6IA7KA8MA9OAAQABSACUADWAFYAH_HKaPMcROeW\ MhVKcUIYTGTSEORCIPADN98L9BN9EPAHREPTITWMXYQ_gS`pZa\ zaczfez`XvSPrIGm78c00W23V45U67T79S9BRBDQCFPEIOGKNI\ MMEKLFKKFKJFKMFKOFKQHKTHMVMKXLJ_LHaLFcKDfKBhJAjJ8m\ J6oI4qI2sI1wklsjjojhljfhiddibai`YiZUhXRhVNhTJhRGgP\ CgNhgLhgJhhKhhLhhchhchhchhchhchhchhcThQVhRXhSZhSLP\ a85kBBjDGiFLhHQgJVgM_fOdeQidSncUscSreQrgOqhMqjKqlI\ pzGpzEpzCozAoz8oz6nz4nz2nz6ozApzEqqIrnMskQthTtfXuc\ `v`dwYhxVlySpzPszNotQlnTihWfbZbYa_SdXMgUGjRBlUFkXI\ kZLkaOkcRkbPgaNcaL_`JW`HS_FOZDKZBGY9CY79aX4zv0zw1z\ w2zw2zw3zw4zw4zw5zw5zw6zw7zw7zw8zw9zw9zxAzyAzzIzzQ\ zzYzzezzmzztzzdzzQzzBzzHzzMzzRzzWXzaYzfZzk_zp`zubz\ tdzsfzshzrjzrkzqmzpozpqzoszouznvznpzdjzVdzMZzCUz3S\ z6Rz8zzAzzDzzFzzHzzJzzMzzOzzQFzSEzVzzXzzZzz`zzTzzL\ zzDzzCfzBdzAaz9Zz8Xz7Uz6Sz6Qz7Oz8Nz9LzAKzBIzCHzDFz\ EEzEQz``zvZzsYzpXzmVzjUzg } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), aa=-(real(p5)-2), bb=imag(p5+0.00000000000000000001), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)/(z^(aa)+bb)+c |z|< 1000000 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint