FOTD -- November 11, 2003 (Rating 7) Fractal visionaries and enthusiasts: I have named today's image "Triangles of Doom". I can give no logical reason for choosing such a name -- the triangular holes in the image certainly appear harmless enough -- I simply felt like naming the image that way. And there certainly are enough junky old sci-fi horror movies with similar names. The most likely reason for the name could be the doom the triangles would bring if the fractalist who found them were to become obsessed with them, and stare at them until he starved. The rating of an above-average 7 was earned by the coloring, most notably the effect of the translucent foreground features being illuminated from behind. This effect is achieved by filling the holes with the maximum value of blue, and varying the red and green only slightly from the maximum. This tricks the mind into thinking that it is actually viewing the sky through holes in trees. The parent fractal of today's image appears as a scattering of small Mandeloids and an assortment of other, more oddly shaped holes. The most prominent Mandeloid has both a negative stem that points northwest and a positive stem that points southeast. The positive stem springs from East Valley and terminates in an irregularly shaped hole that passes through the neck of many smaller hourglass-shaped holes on the way. Today's scene is found close to the point where this spurious stem terminates. When colored in my usual inside=0 outside=iter manner, today's scene is dull and flat. But rendering the image with the inside=bof61 and the outside=tdis, results in the interesting terraced effect seen in today's image. I am not an absolute purist when it comes to fractals, but when I work with them, I try to keep the simplicity that existed when I first discovered them some 16 odd years ago, and had only the Mandelbrot set to explore. Maybe one of these months I'll devote a month to scenes in the M-set, just to show that it is nowhere near being exhausted. The render time of 2-1/2 minutes is reasonably short. And this time can even be cut a bit more by downloading the completed GIF image from one of the FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Monday featured nothing but blue skies and sun here at Fractal Central. The temperature of 50F 10C was a bit on the chilly side, but the fractal cats ignored the chill as they explored the holly thicket at the bottom of the yard. The day ended with happy cats sleeping soundly (Thomas snores). Today is starting sunny and promising to be warmer. The warmth is due to be temp- ered this afternoon however by clouds and perhaps a few showers. We'll just have to wait and see how it goes with the dynamic fractal feline duo. As for me, I have a bit of work to accomplish before the fractals can be found. Until next FOTD, take care, and don't take life too seriously. It won't last forever. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Triangles_of_Doom { ; time=0:02:23.90--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.72147391460799470/+2.077828375552933\ 00/16687.84/1/25/6.03698577933409197e-009 params=-1.5/-1/0.15/5/0/0 float=y maxiter=1250 inside=bof61 outside=tdis periodicity=10 colors=000Kt_MubOudQufSvhUvjWvuYwn_wpawrcwtcvrcuqc\ upctocsncsubnlajzafj`bi_Zh_Vgb_hedhhihknvrsznrzjre\ frcbq`ZqYVqWRpTNpQJpOFoLBoI4qDAtGAmJDiMGePIaRK`QL`\ PM`ON`NPXMQTLRSKSMJULIVKHWJGXIFZHE_FD`ECaDBcCAdB9e\ A8f97gC6gF6hH6hK6iM5iP5jR5lU5mX5oZ4pa4rc4rf4rh4ni6\ li8iiAgiCdiEbjG_jIYjKVjMTjOQjQOkSMkUKkWIkYGk_ElaCl\ cAle8lg6li4ljHkoUksTgrTdrS`rSYqRUqRRqRNpQKpQGpPDoP\ 9oP6oQ8nR9mSAmTBlTDkUEkVFjWGiXIiXJhYKgZLg_Nf`Oe`Pe\ aQdbSccTcdUbdVaeXafY`gZ_g__fRSeILd9Ed17f79gCAhHBiN\ CjSEkXFlbGmhHnmHnlIljJjhKhfKfdLcaMa_M_YNYWOWUOTRPR\ PQPNQNLRLJSHERJHSLJSNLTPOTRQUTSUVUVXXVZZW``WbbWcaX\ c`Xd_XdZXeYXeYXfXXfWYgVYgUYhUYhTYiSYiRYjQZjPZkPZkO\ ZlNZlMZmLZmLZeQVZVRR_NKdJCiF5mB6nF7nJ8nN9nRAnVAnYB\ naCneDniEnmEnnEnoGlnIkmJjkLijMghOfgPeeRddSbbUaaV`_\ X_ZYYX_XW`WUbVTcTReSQfROhQNmPGiPMePRbPWZP`VPeSPjOP\ oKPtHPyJRuKSqLTmMViVjUPoX } 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==================================