|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: I love vast open spaces filled with tiny distant objects, and today's image fits that description perfectly. I named the picture "Deep in Hyperspace", though the scene pictured exists obviously in everyday 3-dimensional space. It still rates a 7 however. The image is one that cries out for truecolor, but that feature is not yet available, at least in Fractint. If and when it does become available, I'll probably re-render this image as well as a batch of earlier images which suffer from the unavoidable bands. Normally, I am not bothered by bands, especially the equal-iteration bands that make a fractal a classic fractal, but occasionally, as in today's image, I would like to have perfect smoothness. I first thought of a name like "Flying Spectacles" for today's FOTD, but that name has no class whatsoever. Then I pictured myself in the vicinity of a very hot star deep in a cloud of dust. The bits and pieces floating in the foreground could only be protoplanets, so I decided on the name "Stellar Nursery". But that name has nothing to do with fractals. After a few more minutes thought, I arrived at the present name, which conveys the surreal feeling of the image quite well. The formula that created the image is number 8 in my series of 12 MandNewt formulae, which are based loosely on the Ikenaga function, the function with apparently no author to claim it. The parameter file renders in 9 minutes, making a download of the GIF file of the image more efficient. The download may be found on the W.W.Web at: The fractal weather today was once again ideal, with sunny skies and a temperature of 70F (21C). The fractal cats however spent little time in the yard due to noisy sidewalk repair work at the house next door. I'm leaving now, but I shall return in 24 hours, more or less. The backlog of work is finally beginning to shrink, so the enlightening philosophy can't be too far off. Until tomorrow, take care, and don't get lost in hyperspace. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Deep_in_Hyperspace { ; time=0:08:56.89--SF5 on a P200
reset=2001 type=formula formulafile=mandnewt.frm
formulaname=MandNewt08 passes=1
center-mag=0.0465338/0.0891693/27.49057/1/-82.5
params=2.945/-3.071/3.082/1.704/-3.535/2.935
float=y maxiter=250 inside=bof60
logmap=yes periodicity=0
colors=000zzzy_zx`zw`zv`zu_ztZzsYzrXzqWzpVzoUynTxm\
SwlRvkQujPtiOshNrgMqfLpeKodJncImbHlaGk`Fj_EiZDhYCg\
XBfWAeV9dU8cT7bS6aR5`Q4_P3Z7DH8EG9FFAFFBGEBHECHDDI\
DEJCEJCFKBGLAHLAIM9IN9JN8KO8LP7LP7MQ6MR6MS5MT5MU4M\
V4MW3MX3MY2MZ2M_1M`1Ma0Mb0Mc0Kd3Jd6Ie9HeCGeFEfIDfL\
CgNBgQAgT8hW7hZ6ia5id4if5hd6gb7f`8eZ9dXAcVBbTCaRD`\
PE`OF_MGZKHYIIXGJWEKVCLUAMT8NS6MT4NS5NR5OQ6OP6PO7P\
N7QM8QL8RK9RJ9SIASHATGBTFBUECUDCVCDVBDWAEW9EX8FX7F\
Y6GY5GZ4HZ3H_2I_1I`0J`0J`0Ja0Kb0Lb0Mc0Md0Nd0Oe0Pf0\
Pf0Qg0Rg1Sh1Si1Ti1Uj1Vk1Vk2Wl2Xl2Ym2Yn2Zn3_o3`p3`p\
3aq3bq3bo9anE`lJ_kOZiTYhYXfbWegVdlVbiTagS`eQ_bPZ`N\
YZMXXKWUJVSITQGSNFRLDQJCPHAOE9NC7MA6L85OA7RC8TEAWG\
BYHC`JEbLFeNHgPIjQJlSLoUMqWOtYPvZQtYPsXPqWOpVOoUNm\
TNlTNkSMiRMhQLfPLeOKdOKbNKaMJ_KJXIIVGIVEHTDITFIUHI\
UJIVMIVOIVPIUQIURITTITUISVISWIRYIRZIQ_IQ`IPaIPcIOd\
IOeINfINhIMiIMjILkIJmJKlI
}
frm:MandNewt08 {; Jim Muth
z=c=(pixel*p1):
a=z^p2+(c-1)*z-c
b=p3*z^2+c-1
z=z-1*a/b
0.000000000000000000000000000001 <= |a|
}
END 20.0 PAR-FORMULA FILE==================================
|
times.
