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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's FOTD image has no quadratic midget. In fact, it has no midget at all. It is simply a design created by number 13 in my series of 14 MandNewt formulae, which use variations of the famous Ikenaga function to create fractals. Formula numbers 13 and 14 are recent additions to the MandNewt series, which until now has consisted of only 12 formulae. Almost the entire image consists of bof60 inside fill. This fill changes an otherwise flat inside area into a series of overlapping bubbles, which can make interesting images. Today's scene is one of these images. It is a rather stately scene with its left-right symmetry. Some may see a series of hot-air balloons filling with a grainy green-and-pink gas; others may see a scene in some surrealistic outer space. I see a kind of eruption, and have therefore named the picture "Mand-Newt Eruption". I rather like the hazy effect created by the bright blue areas. In my opinion, this plus the overall appearance gives the image an exceptional rating of 8, which may be a bit liberal. The 4-minute render time of the parameter file at a resolution of 640x480 is bearable, but this is one of those images that looks best at the highest resolution possible. The download of the GIF image will soon be available on Paul's web site at: The fractal weather today here at Fractal Central was uneventful, with partly cloudy skies and a temperature of 84F (29C). The cats must have approved, for they spent most of the afternoon lounging in the yard. Today however is Independence Day in the USA, and that means fireworks. The cats don't like noise, so I suppose they'll be skittish most of the day. As for myself, I'm simply going to do as little as possible. Until next time, take care, and fractals are fun; arguing politics is not. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Mand-Newt_Eruption { ; time=0:04:22.60--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandNewt13 passes=1 center-mag=8.84911\
/-9.84213e-014/3.120633/1/-90 params=-4.159/-3.693\
/-4.144/-0.685/0.119/-0.783 float=y maxiter=90
inside=bof60 logmap=yes periodicity=0 colors=000I8\
UJAXKC_LEbMGeNIhOKkPMnQOqRPtQPwPOxONxNMyMLzLKyKJxJ\
IwIHuHGsGFqFEoEDmDCkCBiBAgA9e98c87a76_65Y07W06U05S\
04Q03O02M01K00I00G00E0AC0KW3NX5PZ9R`CSaEWcGXeIZhL`\
jNclPemRgnShpWhuUjrUjpSlnSlmRllRmjPmhPmgNncNnaLp`L\
pZLpXKrWKrUIrSIsPGsNGuLEuKEuICvGCvE0w0CvCLuNUsWare\
jpnrnvymzzmzznzznzznzzpzzpzzpzyrz000<158>000
}
frm:MandNewt13 {; Jim Muth
z=g=pixel, a=real(p1), b=imag(p1), c=real(p2),
d=imag(p2), e=real(p3), f=imag(p3):
h=z^a+(g-b)*z-f
j=c*z^d+g
z=z-e*h/j,
0.000000000000000000000000000001 <= |h|
}
END 20.0 PAR-FORMULA FILE==================================
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