Fractal of the Day (FotD) by Jim Muth

FOTD -- July 02, 2009 (No Rating)

Fractal visionaries and enthusiasts:

Today's image shows the grossly enlarged Mandelbrot aspect of a scene very deep in East Valley, framed by the Julia set of East Valley. The angle of the slice is one-millionth of one degree from the true Julia direction. This is the angle of one centimeter as seen from a distance of over 570 kilometers. But as tomorrow's image will show, all the Mandelbrot features are still there, and undistorted as well.

I named the image "One Skinny Trunk", even though the skinny thing running diagonally from lower left to upper right is not an elephant trunk, but the entire width of East Valley at the C point of 25.00001. Since the image trick is a virtual repeat of one I did with Seahorse Valley, I could give the image no rating.

If you think the calculation time of 24 minutes is slow, wait until you see the calculation time of tomorrow's image. But don't fret. Both images will be available on the FOTD web site at:

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

Fairly warm but otherwise pleasant weather prevailed here at Fractal Central on Wednesday, with partly cloudy skies and a temperature of 84F 29C. A light thunder-shower moved in well after dark, which passed pretty much un-noticed by the fractal cats, who spent the day watching for stray cats.

During a hurried lunch I asked FL why she spends so much time watching those silly latin TV novellas. She commented that people with common sense ignore the silly questions I sometimes ask. Then I told her that this shows the stupidity of people with common sense. When she asked if I think she has common sense, I took a long sip of coffee.

The day was so busy that I was forced to post the FOTD 12 hours late. This means the next FOTD is due in 12 hours. It's a very slow one, so be prepared.

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

START PARAMETER FILE======================================= One_Skinny_Trunk { ; time=0:24:23.10-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=SliceJulibrot4 float=y passes=t inside=0 center-mag=0/0/1.147423/1/90/0 params=89.999999/0/8\ 9.999999/60/0.2500001/0/0/0/2/0 symmetry=xaxis maxiter=60000 logmap=-3 periodicity=0 colors=000UDcXFe_KgbPieUkmcmmmmEmmDmmCmmCmmBmmBmmA\ mm9mm9lW8nW8pWBnYEm_HlaKkbNidPhfSggVfiYdk`clbbneap\ h_qkZsnYupXvmWskVpiUnfTkdShbRf`QcYPaWOZUNWRMUPLRNK\ OLJMIIJ8C7GHHEGEBFB9E97D6QqwOnsNlpMimLgiJdfIbcH__G\ YXEVUDTRCQNBOK9LH8JD7GA6E7zgnudjqbgm`ciY`eWYaUUYSR\ TPOPNKLLHHIEDGA9E7At`9pY9mV8iT8fQ8bO7_L7WJ6TG6PE6M\ B5I95F6ym0yh5xcAxZFwXKwVPvTUvRZuPcuNctLctKcFGCBF98\ D6GMRFLPEKNDJLCIJBIIAHGAGE9FC8FB7E96D75C5UurRplPkg\ MgbKbYHZTFUOCPJALE7G9v27s36p46m46j56g56d66a65Z75W7\ 5T85Q95N95KA4HA4EB4BB48C4zXnnSdbOWSKMGGDRVXOTUMRRK\ POINLGLIDJFBHC9F97D6oFplEliEifEfcEc`E`YDYVDVSDSPDP\ MDMJCJGCGDCDACA7C7E5xC7lA8a8AQ6BF5Q25O35M35K35I45G\ 45E4vV0dO2NI3lEviDsgDpeDncDkaDh_DfYDcWDaUDZSDWPCUN\ CRLCOJCMHCJFCHDCEBCB9C97C6iCyfCtcCp`ClYChVCdSC`PCX\ MCSJCOGCKDCGACC7C8eQhaOcYN_ULWRKSNJOJHKGGGCEC8D8`6\ 0Z71Y71W71V81T81S82Q82P92 } frm:SliceJulibrot4 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z| <= 9 } END PARAMETER FILE=========================================