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Fractal of the Day
by Jim Muth
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Fractal visionaries: Those who live in the northeast corner of the U.S. or the eastern part of Canada are currently enjoying the winter-wonderland beauty of an ice-covered world. Everywhere they look, the sunlight is glistening through the prisms of ice that adorn the trees, breaking and refracting into sparkling rainbows of color that dazzle the eye with their splendor. (That is unless they are without power.) Here at 39N-77W we have no natural ice. So to satisfy my craving for it, I have created a fractal ice-coated tree, and naturally enough named it "Ice Coated Tree". The image is a scene in the Z^1.5 figure at C=-0.2,0 Z=-0.55,0, sliced very near to but not exactly in the Julia orientation. The finished image has been rotated 90 degrees and stretched slightly in the vertical direction. I used a very simple near-monochrome color palette to get the icy effect. This fractal tree is part of a quite realistic biomorph shape that exists in the C=-0.2,0 Julia set of the Z^1.5+C figure. The entire Julia set is shaped almost exactly like a trilobite. The resemblance is so striking that Pickover etal must have already found and written about it. The icy tree is standing in the cold at a.b.p.f. and a.f.p. and is also available at: Tomorrow, we'll have something far warmer. I'm not yet sure what it will be, but I like surprises, and sometimes my fractal images surprise me more than anyone else. So until then take care and enjoy your fractals. Jim Muth jamth@mindspring.com |
START PAR-FORMULA FILE========================================
Ice_coated_tree { ;par file -- 14 min on 486-100, 640x480
reset=1960 type=formula formulafile=multirot.frm
formulaname=multi1-5-XY-ZW function=ident/flip passes=1
center-mag=0.0194957/5.55112e-017/7.688/0.8202/-90
params=90/86/-0.55/0/-0.2/0 float=y maxiter=1200 bailout=25
inside=253 logmap=yes symmetry=none periodicity=10
colors=000Oet<54>OetOAZ<8>O1HO0FO0EO0D<4>O08O07O07O07<5>J0\
7I0WH0eG0oFPzEUz0zz0zzKzzSzzXzzZzz<3>ozzzzzzzzOet<153>Oet
}
multi1-5-XY-ZW {; draws all 6 planes and many rotations
;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J
;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J
a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994,
z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p2,
c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p3:
z=z^1.5+c,
|z| <= 36 }
frm:multi1-5-XY-ZW {; draws all 6 planes and many rotations
;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J
;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J
a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994,
z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p2,
c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p3:
z=z^1.5+c,
|z| <= 36 }
END FILE======================================================
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times.
