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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's FOTD rates an 8, and with its glowing pentagons, the image is unusual enough to make it an honest 8. The image is a Julia set of the Z^1.11+C Mandeloid as it appears 111 levels up the complex log spiral. The Mandel aspect of the scene is an egg-shaped open bay surrounded by much chaos. Today's Julia set is associated with a point just offshore of the southwest shoreline of the bay, a point where the chaos is at a minimum. A quick glance will reveal the reason why I named the image "Pentagons". It is filled with bits and pieces of near-perfect Pentagons, with a few whole pentagons thrown in for good measure. The rating of an 8 is the first rating this high in a number of months. The render time of 4-1/4 minutes can be eliminated by downloading the finished image from the FOTD web site at: The sun shone bright all day Friday here at Fractal Central, but the temperature of 39F 4C was too cold for the ears and paws of the fractal cats. They decided to spend the day sleeping on their shelf by the window, only occasionally opening their eyes to check for passing birds. My day was satisfactory. The next in the near-endless string of FOTD's will appear in 24 hours. Until then, take care, and iterate until you drop. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Pentagons { ; time=0:04:15.95--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=JuliaBC center-mag=-0.120052/-0.119167\
/1.31844/1/90/3.88578058618804789e-016 passes=1
params=1.11/0/111/0/-0.041/0.146/0/0 float=y
maxiter=256 inside=bof60 logmap=yes periodicity=10
colors=000cdLacN_bPYaRW`PU_NSZLQYKOXIMWHKVFIUDGTCE\
SACR9AQ78P6zmc40930C20E10H20J40M60O80R90T90W90YA0`\
A0cB4eB9hBDjCFmCGoCFrDFtDEwXImVHoTHpRGqPGrNGsLFuJF\
vHEwFEx4aG5ZL6XQ7UU8SZ9QbANgBLlCIpDGujgq`vQ_tSZrTY\
pVXnWWlYVjZUh`TgaSecRcdQafP_gOYiNWjMUlLTmKRoJPpINr\
HLsGJuFHvEFxHs4Gq7Go9GmCGlEGjHGhJFfLFeOFcQFaTF_VFZ\
XEX_EVaETdESfEQiEOkDMmDLpDJrDHuDFwJW1IT9HRHGPOGNWF\
KcEIjDGruLIpKNkJSfIXaHaXHfSGkNFpIEu5QZ6P`6Ob7Nc7Ne\
8Mf8Lh9Lj9KkAJmAInBIpBHrCGsCGuDFvDExaoeZjhWfjTblQZ\
nOUqLQsIMuoQDhVGa`KVeNNjQGpU9uX2z_EybQxe`xhlwkwwno\
shgpc_lZTiTLeODbJ6_EG`HQaJZbLc_KhYJmVIrTIsUPtVWuVb\
vWiwXpwXvoVuhUuaTtVRtOQsHPsKSlMVfPY`R`VUcOWfIZiC`k\
6Xj9UiCQhFNgIKgLEcG8_B3W76YE8_LAaRG_MMZISYEYW9cV5h\
U1bW3YX5TZ7O_9JaBEbD9cETQHkCJeBL`ANW9PR8QM7SH6UC6V\
BQKBh9LiIViRdj_njhwjpWV`4FM8INCKOGMPJOPNRQRTRVVSYX\
S`aWbf_dkcfpghukjzorh`ySM }
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.
