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Fractal of the Day
by Jim Muth
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Fractal visionaries: This afternoon I investigated the strange little midget that was hidden at the center of yesterday's FOTD. I found a chupacabra, but as Jay Hill found it first, I decided to post another of my images. Today's fractal is named "Flinders", because that's the word that came to mind when I saw the floating, semi-organized fragments that comprise the image. Although the formula draws slices of the XY-ZW Julibrot double rotation, today's fractal is a pure Julia plane image of the (-Z)^1.25 mandeloid. As I have said on previous occasions, iterating (-Z) instead of Z works wonders with the very low order mandeloids. Using this method, I have found interesting detail in mandeloids with an exponent as low as 1.007 Tomorrow, I'll present one of these ultra-low exponent fractals. But for now, I'll post the finished image to the usual Usenet groups, alt.binaries.pictures.fractals and alt.fractals.pictures . . . and the image of course will be available at: So until then, enjoyable fractal adventures. Jim Muth jamth@mindspring.com |
START FORMULA======================================================
JulibrotInvZ {; Jim Muth
; Draws oblique slices of order n inverse Julibrot Figure
; P1 defines power of Z, P2 determines center of slice
; P3 determines angle of slice
z=pixel, c=p2+(pixel*p3):
z=(-z)^p1+c,
|z| <= 100
}
END FORMULA========================================================
START PARAMETER FILE===============================================
flinders { ; 6 min at 100mhz, 640x480
reset=1960 type=formula formulafile=jim.frm formulaname=JulibrotInvZ
passes=1 center-mag=1.80866/-1.11022e-016/6.848608/0.7829/90
params=1.25/0/3/0/0/0 float=y maxiter=1200 bailout=100 inside=0
logmap=yes symmetry=xaxis periodicity=10
colors=00045b45cO5iG5uL5oQ5ec5pZ5eU5WW5P<3>L5K35J55I65JD5HI5GQ5F<3>o5B<2\
>45o<10>45u45u45u45u45u<46>45u45t45t45s45s<95>458458458458458<61>45b
}
END PARAMETER FILE=================================================
START 19.6 FILE====================================================
flinders { ; 6 min at 100mhz, 640x480
reset=1960 type=formula formulafile=jim.frm formulaname=JulibrotInvZ
passes=1 center-mag=1.80866/-1.11022e-016/6.848608/0.7829/90
params=1.25/0/3/0/0/0 float=y maxiter=1200 bailout=100 inside=0
logmap=yes symmetry=xaxis periodicity=10
colors=00045b45cO5iG5uL5oQ5ec5pZ5eU5WW5P<3>L5K35J55I65JD5HI5GQ5F<3>o5B<2\
>45o<10>45u45u45u45u45u<46>45u45t45t45s45s<95>458458458458458<61>45b
}
frm:JulibrotInvZ {; Jim Muth
; Draws oblique slices of order n inverse Julibrot Figure
; P1 defines power of Z, P2 determines center of slice
; P3 determines angle of slice
z=pixel, c=p2+(pixel*p3):
z=(-z)^p1+c,
|z| <= 100
}
END 19.6 FILE======================================================
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times.
