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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: For today's FOTD we break out another long ago and far away formula, this one with the rather uninspiring name, TestZero. As is the case with most of these old formulas, I have forgotten what I was trying to accomplish when I wrote it. But in many cases there is no loss, for there never was a goal in mind. The iterated expression, z=z*c^fn1(z), is simple enough, and the fractals it creates are mostly unimpressive, but once in a while, with the aid of an intelligent human, a notable image appears. Today's image, which shows the entire fractal rotated -90 degrees, is one of those rare cases. The image consists of a blue rainbow arching over a cold landscape on an alien planet somewhere on the other side of the galaxy. I named it "Brainbow" in recognition of the part a human played in its creation. It is different enough to earn a non-inflated rating of 7. The render time of the included parameter file is 7-1/2 minutes on my cranky old machine. This time will be cut to a minute or two on the newest units that can actually run the file. In any case, the finished GIF image may be downloaded from the FOTD web site at: With total sun and a high temperature of 79F 26C, the Sunday weather was totally perfect here at Fractal Central, keeping the cats perfect also. My day was uneventful. Today is starting as near perfect as a day could be, leading me to expect another perfect day in all respects. The next FOTD will appear in 24 hours, but take note -- absolute fractal perfection is unlikely. Until then, take care, and don't get over-iterated. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Brainbow { ; time=0:07:26.60--SF5 on a P200
reset=2004 type=formula formulafile=jim.frm
formulaname=TestZero function=cotanh passes=1
center-mag=-7.88766/0/0.07092536/1/-90/0
params=2/0/3600/0 float=y maxiter=750
inside=atan periodicity=10
colors=0000AM0AM0BN0BN0CO1CO1DP1DP1EQ1ER1FR1FS1GS1\
GT1GU1HU1HV1IW1IW1JX1IY1KY1JZ1KZ1J_1K`1J`1Ka1Jb1Kb\
1Jc1Kc1Kd1Me1Le1Of2Mg2Qg2Nh2Qh2Oi2Qj2Pj2Qk2Pl2Ql2P\
m2Pn2Pn2Po2Po2Pp2Pq2Pq2Pr2Ps2Ps2Ot2Ot2Ou2Ov2Ov2Ov2\
Ox2Ov2Oy3Nw3Nz3Nx3Nz3Nx3Nz3Nx3Nz3Ny3Nz3Nz3Nz3Mx3Mz\
3My3Mz3My3Mz3Mz3Mz4My4My4My4My4Ly4Ly4Ly4Ly4Ly4Ly4L\
y4Ly4Ly4Ly4Ly4Ly4Ky4Ky4Ky5Kx5Kx5Kx5Kx5Kx5Kx5Kx5Kx5\
Kx5Jx5Jx5Jx5Jx5Jx5Jx5Jx5Jx5Jx5Jx6Jw6Jw6Iw6Iw6Iw6Iw\
6Iw6Iw6Iw6Iw6Iw6Iw6Iw6Iw6Hw6Hw6Hw6Hw6Hw7Hv7Hv7Hv7H\
v7Hv7Hv7Hv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv8Fv8\
Fv8Fv8Gv8Gv8Hv8Hv9Iv9Iv9Jv9Jv9Kv9KvALvAMvAMuANuANu\
AOuBOuBPuBPuBQuBQuBRuCRuCRvCSvCSvCTvCTvCUvDUvDVvDV\
vDWvDWvDXvEXvEYvEYvEYvEZvEZvF_vF_vF`vF`vFavFavGbvG\
bvGbxGcuGcvGdvHdvHevHewHfwHfwHgwIgwJhwKhwLiwMjuNjw\
OkwPlwQmwRmwSnwTowUpwVqwWrwXswYtwZuw_vw`wwawwbwwcw\
wcwwcwwcwxcwwcwwcwwcwvcwv }
frm:TestZero { ; Jim Muth
z=p1, c=pixel:
z=z*c^fn1(z),
|z| < p2 }
END PARAMETER FILE=========================================
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times.
