FOTD -- November 30, 2002 (Rating 7) Fractal visionaries and enthusiasts: I have named today's image "Alieness". This name could imply that the image vaguely resembles a female alien, or it could imply that the image has a certain alien feeling about it. Actually, it implies none of the above. I have no idea what a female alien might look like, and all fractals have a certain alien feeling. I invented the name because I liked its sound. The parent fractal of yesterday's fly-trap image is also the parent of today's image. It is the same eastward-flying rocket ship, except that the escape radius has been increased to 100, a change that makes a larger difference in today's image than it would have made in yesterday's. Today's midget, with its deep-blue background, amber arms, and tiny points of light, is located near the tip of a filament extending from a second-order bud near the the center of the western shore line of its parent. The overall impression is more of a seasonal decorative scene than anything alien. The small but brilliant points of colored light could almost be a string of ornamental lights strung on a tree, or in this case, a fractal minibrot. The image is above the long-term FOTD average, which earns it a rating of a solid 7. The render time of 3 minutes is just fast enough to make running the attached parameter file a practical way of viewing the scene. And as always, the completed GIF image is posted on the two FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The Mandelbrot midget in today's image is the last midget that I will post until January. This is also the last time I will use the MandelbrotMix4 formula until January. The FOTD's for December will feature fractals that are neither Mandelbrots nor Julias. Instead, the December images will be oddly oriented slices through various four-dimensional Julibrots, with special emphasis on the Z^2+C figure. The discussions will feature much blather about four-dimensional space and the figures therein, a good bit of which might actually be correct. (In fact, it all might be correct.) The Friday weather here at F.C. was cloudy, breezy and cold, with a high temperature of only 38F 3C. The cats, who dislike such conditions, let their displeasure be known by displaying their least pleasant behavioral aspects. A treat of left-over turkey only partly restored their good moods. My good mood will be restored if I can get through today doing as little work as possible. Searching for fractals is play, not work, so the time I spend in 4-D Fractal Land will not count as work. And before you can count to one-million, I'll be back with the first in the December series of four-dimensional fractal images. Until then, take care, and don't get decohered. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Alieness { ; time=0:03:01.30--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.24085769379575800/+0.204660108303418\ 70/2.510576e+007/1/-150/-4.74181136522755509e-007 params=0.45/-1.25/0.7/1.25/0/0 float=y maxiter=800 inside=0 logmap=50 periodicity=10 colors=000z6OzEYqLfgRn__xzzzIzzEbzBVz9Nz6Et24p10g0\ 0a00Y20W90TE0QL2NK8IXDEbJBgO6nT2s_0zd0zi0zk2wlEslQ\ pnalnlipxfpznaqwNaz9Jz02z00z00z00z02z08z0Ez0Jw0Ot0\ Tz0Lz4Ez96zE0zVDskQkzbbzpazk_zgYzbYz_XxXVtRVqOTnLR\ kGQgDQd9Oa4NY1NV0JQ2GN6DIB9EE69J26N01Q00V00Y00b00f\ 00i00d00_00V00R00N10I40D809B04E00I00J00N60OB0QI0RN\ 0VR0XY0Yb0_i0bn0ds0fz0gz0iz0gz0fz0dz0bz0ax0_w0Yt0X\ q0nq2nz9nzGpzEqtDqkBs_BtO9tE8w26w06T0ON6QIDRDLT8RV\ 2_X0fY0lY0p_0qa0sb0tb0wd0xf0zg0zg1zi1zk2zl2zlIznVz\ pizqwzqx0zn0zf0zY0zQ0zG0z80z00z00z00z00z00z60zD0zJ\ 0xR0xY1wd2wf8sfDpfGlfLifQfgTbgY_gbYgfVgkRipOisLixI\ izEizDlzEpxEssEwpExkEzgEzbEz_EzVEzREzXBza8zf4zk2zp\ 0zs0zx0zz0zz0zz0zz0xz0pz0fz6YzDazIbzLfzOgzRkzXlz_p\ zbqzftzkwznzzqzztzzxpztdzsTzpIzn6zk0zi0zg0zd0zb0za\ 0zY0zX0zV0zR0zQ0zO0zL0zJ0zI1zELzDdzBxz9zz8zzLkzXfz\ QbzLgzDkzEpzGszIxzJzzLzzN } frm:MandelbrotMix4 {; 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, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================