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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: In yesterday's FOTD we tried to show what happens in filaments along the shorelines of midgets that lie on the negative X-axis of the Mandelbrot set. This first attempt was only moderately successful. Today we make the second attempt -- one that is somewhat more successful. We jump to a midget on the X-axis a short distance beyond the largest midget, and examine the filaments near its shoreline. The filaments here are covered with tiny nodes which remind me of long fences with watchtowers positioned every kilometer or so. These fractal watchtowers are islands of chaos with smaller midgets at the center. Today's image illustrates one of these watchtowers -- an island of chaos sitting in a prairie of order. I named the image "Watchtower" and rated it at an 8. The rating might be a bit excessive, but I do rather enjoy the image. When combined with the render time of 44 seconds, the image has an overall value of 1067. (I really must bring some consistency to the way I determine the overall value.) The image may be seen by running the attached parameter file and enjoying the lightning-fast rendering show, or by taking a trip to Paul's FOTD web site at: Tuesday turned out to be the best day in over a month here at Fractal Central. The temperature of 52F 11C, gentle breezes, and warm sun, gave the cat duo all they could ask for. They explored the yard from noon until sunset, somehow managing to stay out of trouble for over 5 hours. Today is starting colder, but not extremely so. It remains to be seen what the cats will make of the day. I'm going to make another work day of it. About 4 hours of work waits in the rack beside the desk, and the only way to move it to the finished rack is to get started. So until next FOTD, take care, and how many fractals could fit on the head of a pin? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Watchtower { ; time=0:00:43.45--SF5 on a P200
reset=2003 type=mandel passes=1 mathtolerance=/1
center-mag=-1.86119088257009000/+0.000407298011668\
70/2.823726e+012/1/-7.27769909978726215/0.00000603\
84787128533 params=0/0 float=y maxiter=7500
bailout=9 inside=0 symmetry=none periodicity=10
colors=000NleRuhVzkTzlRxmQunOroMopLlpJiqIgrGdsEatD\
ZtBWu9Tv8Qw6Nx5LxJT_W_CUZGTZJRZMQZPOZSNYWLYZKYaIYd\
HYgFXdEXbDW_CWYBWVAVT9VQ8VO7UL6UJ5UH5UI5TJ5TJ7JY7J\
Y7JY7JY7KY7KY7KY7KY7KY6LX6LX6LX6LX6MX6MX6MX6MX6NX6\
NX6NX6NX6NXyHvwIuvItuIttIssIsrIrqIroIqnJqmJplJpkJo\
jJoiJngJnfJmeKldKlcKkbKkaKj_KjZKiYKiXLhWLhVLgULgSL\
fRLfQLePLeOMdNMcMMcKMbAEAAEAAEAAEAAEBAECAEDAEEAEFA\
EGAEHAEIAEJAEKAELCEMFENIEPLGROIURKWUM_WOcZNicMnhLr\
mOwrRywUzzWwwbrrgmmjhmmcmoZmqUmsUnuWowYqyZsz`uzawz\
buvbrqbmlchgcc`cZYcUVdPTeNRfRPgWNh_LicJjgHklFlpDmt\
Bnx9nvHdtPVsXMqdCpl3kk6fj9aiCYhFTgHOfKKeNFdQAcT6cV\
7bW7aX8`X8_Y9ZZ9YZAX_AX`BW`BVaCUbCTbDScDRdDRdFVgGY\
iHakIdmJhoKkqLgmMcjN_gOWdPSaQOZRKWSGTTCQU8NU5KSISR\
U_PfgOrnNsoNspNsqNsrMssMstMttMtuLtvLtwLtxLtyLtyNnv\
OitPdrQZpRUnSPkTJiUEgV9eW4c87mEEmKLmQSmWZmadmYajV_\
hRXfOVdLSaHQ_ENYBLWFV_Jcb }
END PARAMETER FILE=========================================
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