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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: What's more interesting than a red alien face leering out from a drab green background? An uncountable number of things. But this afternoon, while exploring more odd angles of the Julibrot, I found a red alien face, which was leering out from a drab green background. Not surprisingly, I named the image "Humanoid Alien". At the same time, I rated it at a 4, which is a little below my usual moderate standard. Actually, I consider looking for funny faces in fractals to be a bit silly. The alien face is humanoid of course, with slit-like eyes, a bulbous nose and a gaping mouth. It would need to be humanoid or else we would not recognize it as a face. This need to preserve a recognizable bit of humanity in our invented alien life forms is the reason that so many fictional aliens resemble human bodies with the proportions changed. If their physical appearance is totally unlike ours, then our human-invented aliens must at least react logically and emotionally somewhat like human beings, or else we could not connect with them at all. An immobile puddle of living slime without thought or emotion might exist somewhere out there, but the events of its life would make a very un-interesting story. Today's image is a new angled view of the prominent valley of the period-4 bud on the northeast shore of the main bay of the Mandelbrot set. What's on the screen is all there is to this particular slice of the Julibrot. Perhaps the best feature of today's alien image is its lightning speed. The parameter file renders in only 25 seconds -- faster than one can get connected to many ISP's. But for those who would rather take the trip to the W.W.Web, the pre-rendered GIF image is (or soon will be) available at: With lots of sun and a temperature of 70F 21C, the fractal weather today was quite pleasant though a bit breezy. It was pleasant that is until 5:30pm, when a squall of rain struck, driving the fractal cats to shelter indoors, where they spent the evening pondering things only cats are aware of. I'm still pondering philosophical mountains, and turning them into molehills, but the Philofractal list remains in limbo, wherever limbo is, forcing me to file away the wisdom for another day. Sooner or later it will all break loose however, so until that enlightening moment arrives, wait with bated but not abated breath. As for the fractals -- they'll return tomorrow, same time, same place. Take care. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Humanoid_Alien { ; time=0:00:24.80--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=multirot-XZ-YW-new passes=1
center-mag=-1.11022e-016/-0.14425/1.910397/0.3912
params=-45/90/2/0/0/0/0.25/0.5 float=y maxiter=2500
inside=255 logmap=5 symmetry=yaxis
colors=000PQ1PR6MSAJTFGUJ9WN2YRXT4bMEhFNn8Xt1e021E\
BISJZeRojo2F8_80RQ6XgCbxIh7LJLIUZFclCm4sMOcZfPkM8j\
e9qkVlrKrBnI2U3MNMeGdC8vYwIgfWpQiCqqPfs`WtmLvBW6`L\
XfLZmHgsDoaW9iOQqHfsGitGGvERwDaxBlYUadPgkKlrFrLSDW\
NPeJ`oElEz5UhOiReLi1ZYLlMdH6RT7_c8gn9oNP1XLGfHVpDi\
P`VgNiG8Rb9gu2iw5nx8sKucZShu9zwAxygLliSsSgnMbqJhtG\
mwDrvOXwJexEnLU8ZNQlGf96AR8Rh9gxf5yQXBf339vXAwULbZ\
umgeqpQtdYdoMnHCJWBXjAjQyaagimRpavCKWN7GWZDi0MqYQL\
3T4NMNfGeYRMkIdboqhdsnVttKv3DjXBqS6I`7Th8bq9mEd1aP\
VmDgsBo1kHMZWeMihECqC_Q83a9MmAd9C0RBKhAcIN1cGVZDKg\
CYpBjpg5sZJuRXwIjCam`OrfeD3GaXDlZ6qJuJhy1mlGq_VuNi\
Yr7pYyuMxUWwbbVnOiSC2cBMnAd1sqHgsWXtjLvK786PODOUaH\
hS9``AfhAlqArnBArARvAgKr390NInncUsHC4WBNjAedmOJNNd\
GeOEYfCjF9ZbAkfSYMveEz6QlKa_XmNjEpny5xSfuhI1kFPrCf\
2DCMCSeBg6V78KpMHrZFtlCv6zC60k8VQMPZZKflFovcyxPxF`\
ARUNbNZnGk5jzYSxQT4AXN00R
}
frm:multirot-XZ-YW-new {; Jim Muth
; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect
e=exp(flip(real(p1*.01745329251994))),
f=exp(flip(imag(p1*.01745329251994))),
z=f*real(pixel)+p3, c=e*imag(pixel)+p4:
z=z^(p2)+c,
|z| <= 36 }
END 20.0 PAR-FORMULA FILE==================================
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