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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image pictures part of the empty inside of a Julia set of the Z^(1.009)+C Mandeloid as it appears 109 levels up the infinite logarithmic spiral. This empty inside was brought to life not by a bolt of lightning, as the Frankenstein monster was, but by the bof60 inside fill. So far, so good. But something is wrong. The image has no 'bof60' feeling to it. It consists of a cloud of floating daggers arranged into a large broken spiral, with the bright blue background barely showing through. Normally, the bof60 inside fill produces a scene with circular bubbles, much like the 'fmod' fill does. It is this unexpected nature of the image that adds the interest which raises the rating to a 7. Also interesting is the fact that the exponent of Z, at a value of 1.009, is so close to unity, a value that does not make fractals. Curiously enough, in this almost-linear range, most of the action is in the inside parts of the fractals. The conventional inside-outside fractals tend to resemble rather boring mis-shaped eggs. The coloring appears quite full, but actually only 20 or so different colors appear in the scene. Luckily, 20 colors are all that is needed to "Get the Point", which BTW is what I named today's image. The image is just the center part of the whole inside of the parent fractal. For an additional surprise do an outzoom and check the entire parent, which is nothing like what one would normally expect. Today's FOTD render time of 8 minutes borders on slowness. But the finished image may be downloaded from the FOTD web site at: The partly cloudy skies and mild temperatures of 68F 20C on Monday here at Fractal Central were spoiled by occasional light sprinkles and wet grass, which limited the cats' outdoor adventure time to under 30 minutes. My outdoor time was limited by the work that needed to be done after the holiday. The next FOTD will appear in 24 hours. Until then, take care, and the FOTD images will one day vanish, but the fractals themselves are eternal. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Get_the_Point { ; time=0:08:17.03--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=JuliaBC passes=1 center-mag=-9.19539/\
-0.872849/1.513537 params=1.00897/0/109/0/-4.662\
/7.437/10000/0 float=y maxiter=256
inside=bof60 periodicity=10
colors=000ka9iZ97fkAelDglGhlIjlLklOmlMklNklPklQklS\
jlTjlVjlWjlYimYglYekXbjX`hXYgWWfWTeWRcVObVMaUJ_XKZ\
_MYbNXePWhQUkSTnTSqVRtXPtXPsXOrXNqWMpWLoWKnVJmVJlV\
IkVHjUGiUFhUEgTDeUDcWD`YDZ_DXaCUcCSeCQgCNiCLkBJmBG\
oBEqBCsB9uA9rB9nC8jE8fF8bH7_I7WK7SL6ON6KO6HQ5DR59T\
55U41W84VC7UGATKDSOGRTJQXMP`POdSNhVMmZKgaJ`eHUiFOl\
DHpBAt9Bs9Cq9Eo9Fn8Gl8Ij8Jh7Kg7Me7Nc7Ob6Q`6RZ6rc5l\
Z6eU8ZP9VLBOICKFEICFM9HODIRHJULKZPcZmzamzcmzcmzcmz\
cmzcmzclzcjzchzchzchzchzcfzcczcazc_zcYzjV_iS`gPahS\
biWdjZfkbgleimiknllopnpsprwrmjjgYbbLVX8NVAMTCKREIP\
GGNIELKDJMBHO9FQ7DS5KOGRKSZGcSIXLLPENH7Q99RABSBEUC\
GVDJXFLYGNZHQ`ISaJVcLXdMZeNagOchPfjRfkSelUdnWcoYbq\
_ara`sc_ueZvgYxiYuhXqfWmdWibVe`Ub_UZYTVWSRURNSRQPS\
TLSWHTZDTa9Ud5Vh1cg7lfDvdJvaLuYNtVPsRRrOTqKVpGXoKX\
mPXkUXiZXhcXfhXdmXbrYbrXcrVdqUeqSfpRfpPgoOhoMioKjn\
JjnHkmGlmEmlDnlBok9nh9le9 }
frm:JuliaBC { ; Formula by Andrew Coppin
e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)),
r=real(p2)-q, C=p3, Z=Pixel:
Z=log(Z)
IF(imag(Z)>r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < p4+100 }
END PARAMETER FILE=========================================
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times.
