Fractal of the Day
by Jim Muth
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FOTD -- February 08, 2009 (Rating 7.5)
Fractal visionaries and enthusiasts:
To celebrate the warmest day in several months, FL and I took a trip into the surrounding country on Saturday. Perhaps not by chance, we came upon an antique emporium we had not yet visited. Luckily, the place was small and we made it back to F.C. well before nightfall, which left ample time for my fractal ambitions.
The image shows an order-8 minibrot on the northwest shore line of a monumentally enlarged Mandelbrot set. The location is in the area where Siegel disks appear in the corresponding Julia sets. (Siegel disks are a story for another day.)
For no rational reason I named the image "Starry Seven". Then I rated it at a 7-1/2, giving myself a 1/2-point bonus for the extra effort I put into the coloring.
The calculation time is exactly seven minutes, within 1/100th of a second. I think this is the first time this has happened. But the time is a bit on the slow side, so for convenience, the finished image has been or soon will be posted on the FOTD web site at:
Some clouds moved in here at Fractal Central on Saturday, but when the temperature reached a high of 48F 9C, it felt almost like a day in mid-May. The fractal cats watched the scene from the big window, waiting patiently for our return.
My day was average. The next FOTD will be posted in 24 hours, with no guarantee of its quality. Until then, take care, and is it unreasonable to fight for reason.
Jim Muth
jamth@mindspring.com
jimmuth@aol.com
START PARAMETER FILE=======================================
Starry_Seven { ; time=0:07:00.00-SF5 on P4-2000
reset=2004 type=formula formulafile=basic.frm
formulaname=DivideBrot5 passes=1 float=y logmap=500
center-mag=-39.7877072626944/+37.25223239209976/1.\
685524e+008/1/48.75/0 maxiter=3000 periodicity=10
params=8/75 inside=0
colors=070UK0cN9cKCc8Ec7Ic7Lc7Jc7Ic9GcCEcGDcLCUSAK\
Z9Ie9E`5DV2CQ0AL09I0X81z78t7Am7Df7Gb7JX7NS7QN8TJ8X\
T7mb7zV7zQ7zL7zG7zC7z87z57z27z07z08z08z07z07t07h07\
`07S07L07D078073070070070070E7Jz7zy7zm7td7hVAXNDOG\
GG9L84S31X04U08Q0DN0JL0QJ0XG0dF0mD0vB0zA0tE0hI0ZL0\
QQ0IV0C`06e01k00r00x00z00z00v01r04m18i4Dg9JcEQ`LXX\
SdUZmSfhPhfNkbLm`KoXIqVGtSFvQEvOCyLBzJAzGAzE8zC8zA\
7z97zA7zA8zA8vA8qA9mAAhAAbAAZABVACSADOADLDFGEICGJ9\
JL6LP4NQ1OU0SX0TZ0Vb0Xc0Oe0Gg09i05i01k00m00m00r00t\
00v10x50z80zC0zI0zN0zS0zZ0zd0zk0zt0zz0zz0zz1wJJt0O\
q0Tn0Zj0cc0gZ0kV0mR0mP0mK0mG0mL0mS0rX0vc1zi2zr4zz5\
zz7zz9zzAzzDzvGzkIz`LyQOtJQqCTo8Xk7Zh7bf7dh7dh7dk7\
dk7dk8dmAdmCdmFdoIdoLdoPdqMfqMhqLktLmtLotKovKqvKtv\
KvyLyyLzyNzzPzzSzzTzzWzzYzz`zzbzzbzzbzzbzzbzzbzzbz\
zbzzbzzbzzbzzbzzbzzbzzbzzbzzbzzbzzbzzbzzbzzbzzbzzb\
zzbzzbzzbzzbzzbzzbzzbzzbz }
frm:DivideBrot5 { ; Jim Muth
z=(0,0), c=pixel, a=real(p1)-2,
b=imag(p1)+0.00000000000000000001:
z=sqr(z)/(z^(-a)+b)+c
|z| < 1000000 }
END PARAMETER FILE=========================================
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