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Fractal of the Day
by Jim Muth
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Fractal enthusiasts: Today was bright and sunny, but chilly here at Fractal Central. The temperature of 41F 5C was perfect for a journey through fractal land. My journey took me to the same area as yesterday's shamrock fractal. I wrote a new formula just for the trip, which will let me view the scene from an entirely new direction. The angle of the slice has been turned -10 degrees from the Rectangular direction toward the Oblate direction, giving the effect of a galaxy seen edge-on through clouds of interstellar dust. I named the picture "Edge-on_Galaxy" as a straightforward description. And yes, once again I have sinned by loading the GIF file into a graphics program for some fine-tuning before posting it to: I've been busy today, so I'll have to cut the discussion short, but the fractal is good enough to make up for a lack of words. After all, one picture of a three-dimensional object is worth a thousand words, so a picture of a four-dimensional object must be worth a million words. Until tomorrow, take care, and don't get lost in the stars. Jim Muth jamth@mindspring.com |
START FORMULA=============================================
JuliaMiN {; Jim Muth
b=p1, z=pixel+p2, c=p3:
z=(-z)^(b)+c,
|z| <= 16
}
END FORMULA===============================================
START PARAMETER FILE======================================
A_Fractal_Shamrock { ; 4-1/2min on a 486-100, 640x480
reset=1960 type=formula formulafile=slices.frm
formulaname=JuliaMiN passes=1
center-mag=0.0438185/4.44089e-016/0.9363296
params=3.5/0/0/0/0.8042/0 float=y maxiter=1200
bailout=25 inside=0 logmap=yes symmetry=xaxis
periodicity=10 colors=000YFP`CPcFUfIX<3>fm4<11>145\
<2>aKR<7>6jOK28<12>j_P<5>JHE<33>VVOWVOUTNSQMPNLMKK\
<2>FBD413<44>cDU<4>gcXheYihZ<7>pkc413<75>GdHQCP<2>\
WEL<10>jlU<8>g9h
}
END PARAMETER FILE========================================
START 19.6 PARAMETER-FORMULA FILE=========================
A_Fractal_Shamrock { ; 4-1/2min on a 486-100, 640x480
reset=1960 type=formula formulafile=slices.frm
formulaname=JuliaMiN passes=1
center-mag=0.0438185/4.44089e-016/0.9363296
params=3.5/0/0/0/0.8042/0 float=y maxiter=1200
bailout=25 inside=0 logmap=yes symmetry=xaxis
periodicity=10 colors=000YFP`CPcFUfIX<3>fm4<11>145\
<2>aKR<7>6jOK28<12>j_P<5>JHE<33>VVOWVOUTNSQMPNLMKK\
<2>FBD413<44>cDU<4>gcXheYihZ<7>pkc413<75>GdHQCP<2>\
WEL<10>jlU<8>g9h
}
frm:JuliaMiN {; Jim Muth
b=p1, z=pixel+p2, c=p3:
z=(-z)^(b)+c,
|z| <= 16
}
END 19.6 PARAMETER-FORMULA FILE===========================
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