|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: I love alien landscapes -- illustrations of imaginary scenes that one might see from the surface of an alien planet. And curiously enough, some single-layer fractals make quite convincing alien planet scenes. Take today's FOTD picture. It requires little imagination to see the surface of an alien planet, strewn with spear-like objects, created perhaps by volcanic activity in some past epoch. The sharply-pointed features fade quite convincingly to a gently rolling horizon, under a slightly hazy dark blue-violet sky. Since the sky on this fractal planet is so dark, the atmosphere must be quite thin, making distant things appear closer than they actually are. The barely visible layers of dust floating in the thin atmosphere reveal that recent windstorms have raked the planet's surface. All in all it's not a very inviting place to live, though I wouldn't mind visiting for a few days if the spacefare were not too outrageously high. The picture is a scene in the Julibrot of the Z^1.5+C formula, calculated very near but not quite in the Julia orientation. I named the picture "Alien Landscape" as a description, and rated it a 7 because I enjoy alien landscapes. The parameter file renders in almost exactly 3 minutes on my 200mhz Pentium. Since going to the internet sites and picking up the download takes about the same time, it's up to the viewer to choose the route to the image. For those who choose to visit Usenet, the group is: The fractal weather today was mostly cloudy with continuing showers. The near perfect temperature of 83F (28C) was spoiled by the wet grass, forcing the cats to remain indoors and sulk. My big philosophical article made little progress today, though I did post a rather philosophical reply to a remark on the Philofractal list this afternoon. The chances are high however that I'll have the longer article ready by post time tomorrow. The only way to know for sure is to check back then. Until next time, take care, and a sulking cat can always be cheered by a dish of his favorite food. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Alien_Landscape { ; time=0:02:58:88 -- SF5 on a P200
; Version 2000 Patchlevel 15
reset=2000 type=formula formulafile=julibrot.frm
formulaname=SliceJB-new passes=t
center-mag=+0.035268348154282/+0.1503441749572727/22\
8.1255/1/10 params=0.499661/0.499125/0.497633/0.5018\
65/1.5/0/-0.188/0/0.2392/0.4909 float=y maxiter=1500
bailout=25 inside=0 logmap=23 periodicity=10
colors=000FAKFDNFAK<3>FBLFCLFCMFDN<3>FERFFSFHRFHSFIS\
FISFJTGJUHLUILUJMV2NV2MV2MV2NX<3>2OY2OY2QY<3>2RZ2R_2\
R_2S_2S_2Sa2Ua<3>2Vb2Vb2Xc<2>2Xc3Ue4Sf4Rg6Qg7Oi7Nj8M\
kAKkAJmBHnBFoDEoEDqEBrFAsH8sH7uI6vI3wJ2wK0yK0zM0z<2>\
O0zO0zN0z<2>M0rM0oK0mK0i<3>I0ZM0A<3>J0AI0AH0FG2D<3>C\
30<3>B40D60<3>D70D80D80D80DA0DA0DB2DB3DB4DD6DD6<2>DE\
ADFBDFBDFDDHEDHFDHF<2>DJJDJKDJKDKMDKNDKODMQDMQ<2>DNU\
DOVDOVDOXDQYDQZDR_DR_DRaDSbDScDScEUeFUeFUeHUe<3>JVeK\
VeKXeMXe<2>OYeOYeQYe<2>RZeSZeUZeUZeV_eV_eX_eX_eY_eZa\
eZae_ae_aeabe<2>cbecbeeceecefcegcegeeiee<2>jeekfemfe\
<3>ogeogeqgergeriesiesieuieuiermYqqRnuKmyEjz7iz0jz2j\
z2ky2kw2mu2mr2nq2nn2ok3oi3qg3qe3qb3ra3rZ3sX3sU3uS4uQ\
4vN4vM4wJ4wH4wE4yD4yA4z76z66z36z06<4>z06
}
frm:SliceJB-new {; from John R. H. Goering, July 1999
pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1),
b=pi*imag(p1), g=pi*real(p2), d=pi*imag(p2), 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)+(p4), z=r+flip(s)+(p5):
z=z^(p3)+c
|z|<=9
}
END 20.0 PAR-FORMULA FILE==================================
|
times.
