FOTD -- March 05, 2010 (Rating 7) Fractal visionaries and enthusiasts: In today's image I tried something I very rarely attempt. I added 0.001i to Z^2.003 in the exponent of Z, making it a complex number. This small imaginary component made a big difference in the parent fractal, especially along the negative X-axis, where the axis splits and the negative imaginary part slips east. Today's image lies in the East Valley area of the upper half of the split-apart minibrot on the negative stem of the parent. (The minibrot is better seen than described.) The image is filled with the same rail-yard effect that infests this area of the straight Z^(2.003)+C Mandeloid, though the imaginary part of the exponent has added additional rail lines. After carefully considering the image for about 20 seconds, I rated it at a 7 and named it "All in the Mind", which after all is where the world of imagination (and imaginary numbers) lies. But as the existence of the image clearly shows, when a thing is imaginary, this in no way implies it is not as real as the very convincing but (IMO) illusory physical world surrounding us. The included parameter file will finish in one minute on a fast P4-2000mhz unit, as long as the machine is not over-qualified. Those with over-qualified units may see the finished image on either the old FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or on the new site at: <http://www.Nahee.com/FOTD/> I advise viewing the image on the new site. The old site will be taken down in a few days. Near total sun and a temperature of 45F +7C here at Fractal Central on Thursday made the resident fractal cats very happy. They took full advantage of the situation by spending most of the afternoon sunning themselves on the shelf by the window. My day featured average dullness. The next FOTD will be posted in 24 hours. Until then, wait anxiously, and idealists do not have to prove that the objective world is not real; materialists must prove that it is real. (IMO the concept of reality is not real.) Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= All_in_the_Mind { ; time=0:01:01.21-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=-1.751158192\ 838907/+0.0144570342532074/2.480644e+008/1/-25/0 params=0/0/0/0/0/0/0/0/2.003/0.001 float=y maxiter=1500 inside=0 logmap=173 periodicity=6 colors=000SElUBnVNzW7tU6kS6cQ5WP5ONANMFMLKMKQLJVLI\ _KHeKUjUZpccvcgzcmscwkMzdOEXQEPSEJUDMaDPiDSqDUyHVw\ KVvNVuQVsUVrXVq_VobVneVmeUkeTjeSieRheQgePfeOeeNdeM\ ceLbeKaiRblXbocbribzobzl_zjYzhWzgUvdSsbQs_OqYLpVJo\ SHoQFnODnLBmJ9mH7gI6aI5WI5RI4LI3FI39I24I23H43H53H7\ 3H82G92GB2GC2GD2GF1FG1FH1FJ1FK1FL9JJGNINRGUVF`YEaA\ 6YIAUQDQXGMdJczMcwPGqMIkKJeIL_GMVEMVELVEKVDKVDJVDJ\ WCczCctCcoBUfBKZBFSAEMADXADX9CX9BX9BX8AX8tsZsrYrrY\ rrXqqXpqXpqWopWopWnpVmpVmoVloU8LWAKTCJQDINFHKHGHJF\ EKEBNGDQHETIGWKHZLJaMKdNLZOPTPTNQXHR`CRdFXbHaaJf`L\ kZNpYPuXOrVOpUNmTNkRMhQMfPMcOLaMLZLKXKKUIJSHJPGJNF\ NPJQRNUSRXUV`WZcXbfZfj`jmanqcrtevwfzrcym`xhYxcVwZS\ wUPvQNvTKtVIsYGr_Eqbcpdeoggni_ml`lnakpbjqbiqciqciq\ diqezrfzrgzrizrkzrmzrrznvzkzzzzzlzzkzzjzzizzizzfzz\ czzzzizzezzazzYzzUzzQzzMzzIzzEzzAzz6zz5zz5zz5zz4zz\ 4zz4zz3zz3zz3zz2zz2zz2zzj } frm:SliceJulibrot4 {; draws all slices of Julibrot 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), 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=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================