Fractal of the Day (FotD) by Jim Muth

FOTD -- July 30, 2009 (Rating 6)

Fractal visionaries and enthusiasts:

I named today's image "Magic Can Be Real". I have forgotten the reason, but one thing certain is that 100 years ago, fractals themselves would have been considered magic. Of course, stage magic is real enough, but all of it is based on natural laws and is not really magic in the supernatural sense.

Today's magic fractal came to pass when I combined 1/2 part of Z^(5.5) with Z^(3.5) and added C. The parent fractal is shaped rather like a north-south oriented lozenge with a Mandeloid hanging from its lower end. A small oval bay lies between the lozenge and the Mandeloid. Today's image is located in the east branch of the valley separating this small bay from the lozenge.

The rating of a 6 is all I could do for the image, which really could have benefited from additional work on the colors. The calculation time of 6 minutes is a bit longer than the image is worth. Better value may be found however on the FOTD web site at:

http://home.att.net/~Paul.N.Lee/FotD/FotD.html

where the finished image is posted for peace and contentment.

The temperature of 79F 26C was pleasant enough, but the clouds and occasional light rain kept a damper on outdoor activities here in the Fractal Central area on Wednesday. The fractal cats checked the weather once or twice, then Cassie found the empty laundry basket and spent the rest of the afternoon curled in it. When Nicholas saw he would not have the basket, he leaped to the top of the secretary, where he stretched out for the afternoon.

My day was spent getting the work out of the way. The next FOTD will be posted in 24 hours. Until then, take care, and we're rational people. We know that real magic of the supernatural kind does not exist . . . or do we?

Jim Muth
jamth@mindspring.com
jimmuth@aol.com

START PARAMETER FILE======================================= Magic_Can_Be_Real { ; time=0:06:12.83-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.2005630573/-1.0418614259/12201.01/1/-\ 175/0 float=y maxiter=6400 periodicity=10 logmap=344 params=1/3.5/0.5/5.5/0/0/0/0 inside=0 colors=0008pzUgyVdxWbwX`uYZsZXq_Vo`TmaRkbQicQgdQee\ QcfQagQ_hQYiQWjQUkQSlQQmQOnQNoQMpSLqUKrWJsYItYKp_I\ k`GfaEabCXcASd8Ne6Kg4Jf5Jf5Jf5Je5Ie5Ie5Ie5Id5Hd5Hd\ 5Hc5Hc5Hc5Gc5Gb5Gb5Gb5Fa5Fa5Fa5Fa5E`5E`5E`5E_5E_5D\ _5D_5DZ5DZ5CZ5CZ5CY5CY5CY5BX5BX5BX5BX5AW5AW5AW5AV5\ 9V59V59V59U59U58U58T58T58T57T57S57S57S57S58T68T68T\ 69T79U79U79U7AU8AU8AV8BV8BV9BV9BV9CW9CWACWADWADWAD\ XBDXBEXBEXBEXCFYCFYCFYCFYDGYDGZDGZDHZEHZEHZEH_EI_F\ I_FI_FJaDI_FIYGIXIIVJIULISMHQOHPPHNRHMSHKUHJVGHXGF\ YGE_GC`GBbG9cF7eF6fF4hF3iF1kE0nF0lF1kF2jF3hF4gF4fF\ 5dF6cF7bF8`F9_F9ZFAXFBWGCVGDUGESGERRFQTGOVHNXIMZJK\ `JJbKIdLGfMFhNEjNDlOEnPEpQErRFtRFvSFxTGzUGzUGzVHzW\ HzXHzXIzYIzZIz_Jz_Jz`JzaKxbKubOtcQtdSteUteWtfYtg_t\ hathctjetkgtmiuokvrmwtoxwqyxszzuzzwzzxzzyzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================