Woah! I'm stunned! That is a fabulous and very surprising image. Incredible work, Jim. Thanks, as always. Mike On 21/10/2011 7:18 PM, Jim Muth wrote:
FOTD -- October 21, 2011 (Rating 8)
Fractal visionaries and enthusiasts:
In these FOTD discussions I often mention the parent fractal of an image. In most cases, this parent fractal is the image that appears on the screen when the formula parameters are entered and nothing is changed. My default settings are: a magnitude of 0.66..., the default color palette, a maxiter of 1500, a periodicity of 6 and a logmap of zero.
Sometimes an outzoom is needed to fit an entire oversized parent onto the screen, or an inzoom is needed to enlarge an undersized parent to fill the screen. In other cases, there is no limited fractal that could be called a parent fractal. The entire parent fractal appears to be of unlimited size. Today's image is one of these misfits.
Today's image lies in the apparently infinite fractal that is created by the MandNewt06 formula. This can be demonstrated by repeatedly outzooming from the image until the limit of Fractint is reached. Even way out here, there is no sign of the fractal coming to an end.
As for the image itself, it reminds me of blue clouds caught evaporating away to reveal a universe of brownish spheres loosely arranged into nets and spirals. I rated the image at an 8, a full point of which is a bonus for the coloring effort needed to get reasonable smoothness from 256 colors.
The name "Evaporation" refers to the bluish clouds, which to me appear to be clearing away, perhaps after a fractal storm. The calculation time of just over a minute will bring grief to no one if, in their opinion, the image lays an egg.
For a little fun, try changing the exponent part of the real(p4) parameter a few orders of magnitude in either direction and watch the blue cloud totally evaporate or thicken.
The already-calculated image is available on the official FOTD web site at:
<http://www.crosscanpuzzles.com/Archives.html>
The high-definition version is at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The original FOTD web site may be accessed at:
Typical October weather prevailed here at Fractal Central today, which made for a not too pleasant afternoon. The sun was blocked most of the time by dark lumpy clouds scudding from the west, (stratocumulus), which dropped occasional sprinkles, while the temperature remained stuck in the mid 50's F around 12C, and the wind gusted to 20mph, 30kph. Not being weather wise, the fractal cats ignored the marginal conditions and concentrated on deciding who would own the new chair. FL put a heavy afghan over the chair to thwart their scratching efforts while they bickered for ownership.
The next in the apparently unending series of fractal images will be posted in 24 hours. Until then, take care, and if I don't exhaust the supply of fractals in this world, I'll keep finding them in the next. But I still wonder how I'll continue posting them to the list.
Jim Muth jimmuth@earthlink.net
START PARAMETER FILE=======================================
Evaporation { ; time=0:01:08.27-SF5 on P4-2000 reset=2000 type=formula formulafile=basicer.frm formulaname=MandNewt06a passes=1 float=y center-mag=-0.0587134/0.29352/32.89674/1/-135/0 params=-1.82/-1.79/2.48/-1.18/1.28/1.63/1e-030/0 inside=bof60 logmap=yes periodicity=0 sound=off colors=000xaNw`Nv_MuZMtYLsXLrWKqVKpUKoTJnSJmRIlQIk\ PIjOHiNHhMHgLHfKGeJGdIFcHFbGEaFD`EB_D9ZC5YB0UA0Q80\ N60wzzwyzwwzwvywvxwvwwvvwvuwvtwvswvqwvowvmwvlvvkvu\ luukuumuuluumtunsunrunquopuoouonuomuokupjupiuphupg\ upfupdupcupbupaup`up_uqZuqYuqXuqWuqVuqUrqTrqSrrQbr\ PbrObrNbrMbrLbrKbrJbsIasHNnGNnFNnENnDNnCNnCNnBNnAM\ mAMmALmAKm9Km9Km9Km9Lm8Km8Lm8Lm7Mm7Mm7Nm7Pm6Tl6Sl6\ Sl6Rl5Rl5Ql5Ql4Pl4Pl4Ol4Ol3Nl3Nl2Ml2Ll2Kl1Jl1Il1Hl\ 0Um1Sm1Rm3Rm4Pm5Nm6Lk7Jk8Ij9GjAFiBCiCAiEHhGFhIDgKB\ gL9fM7fIIpJHpKFpLEpMDpNCpOBpPApQ9pR8oS6oT5oU4oV3oW\ 2oX1oY0oZ0o_0o`0o`0oa0nb0mb0lc0kc0jd0id0he0gf0ff0e\ g0dg0ch1ch1bi1ai2`j2_k2Zk2Yl3Xl3Wm3Vm4Un4Tn5So5Rp5\ Qp6Pq6Oq6Nt5Lq6Mn6Ok7Ph8Qe9Rb9T_AUXBVUCWRCYODZLD_I\ E`FFaCFc9Gd6He5He4Hf6Gc8E`ADYCBVEASF8PH7MJ5JL4GN3D\ N38N39O2AO2BP2DP1EP1FQ1GQ0HR0IR0JR0KS0MS0NT0OT0PT0\ QU0RU0SV0TV0TV0TU0UU0UU0U }
frm:MandNewt06a {; Jim Muth z=c=(pixel*p1): a=z^3+(c-p2)*z-c b=p3*z^2+c-1 z=z-1*a/b p4< |a| }
END PARAMETER FILE=========================================
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