; Date: Tue, 02 Jun 2009 19:49:04 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 03-06-09 (Seahorse Valley-03 [No Rating]) ; Id: <1.5.4.16.20090602195019.2bb7c780@pop.mindspring.com> ; --------- ; ; FOTD -- June 03, 2009 (No Rating) ; ; Fractal visionaries and enthusiasts: ; ; Today's image shows another surprising aspect of the four- ; dimensional Seahorse Valley complex. The outer drab blue area ; outlines a distorted version of the Seahorse Valley Julia set ; with a C-value of -0.75, while the brilliant reddish yellow ; elements inside the Julia outline are a grossly enlarged view of ; the Mandelbrot aspect of the valley. ; ; The enlargement of the Mandelbrot part of the image is due to ; its hypercylindrical four-dimensional shape and the angle at ; which it is sliced. In 4-D space, if the angle is right, a ; hypercylindrical 4-D object may be sliced by a plane so that all ; directions of the projection onto the plane are enlarged equally ; up to infinity. Some careful measuring and a bit of trigonome- ; try, (which I am not about to do), would reveal the angle of ; today's slice. ; ; I named the image "Seahorse Valley-03", which describes it quite ; well. Since the scene has little artistic value, I gave it no ; rating, though I consider it worth about a 6-1/2. ; ; The calculation time of 15 seconds will pass in a fractal flash. ; Another way to see the image is to flash out to the FOTD web ; site at: ; ; ; ; and view it there with zero effort exerted. ; ; Morning clouds and a few drops of rain gave way to plenty of ; sunshine and mild afternoon temperatures in the mid 70'sF, or ; around 24C. The fractal cats here at Fractal Central enjoyed ; the pleasant conditions, even catching a little afternoon sun. ; ; My day was rather busy. The next FOTD will be posted in 24 ; hours. Until then, take care, and regardless of whether it's ; scientific or unscientific, it still might or might not be true. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Seahorse_Valley-03 { ; time=0:00:15.75-SF5 on P4-2000 reset=2004 type=formula formulafile=jim.frm formulaname=ObliqueMand passes=t center-mag=0/0/.86 params=0/0/-0.752/0/0/0.05 float=y maxiter=16000 inside=0 logmap=yes symmetry=yaxis periodicity=10 colors=000AGUAKUALUAMUANUAOUAPUAPUAQUARUARUASUATUA\ TUAUUAVUAVUAWUAXUAXUAYUAYUAZUAZUA_UA_UA_UA_UA`UA`U\ A`UcaUcaNcaQcaTcbWcbZcbXcbVcbTcbRccPccNccLccJccHcc\ FmcDmcBmc9mc7mc6mdKraNv_PzYRzWUzUWzSYzQ`zObzMdzKgz\ IizGkzLezQ_zUUzZOzcIzgCzl6zp0zn1zl2zj3zh4zf5zd6zb7\ z`7zZ8zX9zVAzTBzRCzPDzNEzLEzMLzMIzNFzNCzO9zO6zO4zQ\ 6zR7zS8zT9zUAzVBzWCzhSzXEzYFzZGz_Hz`IzaJzbKzcMzdNz\ eOzfPzgQzhRz44zD9zLEzUJzaOzP9zWGzbMzwQzsRzpRzlSzce\ zdczebze`zf_zfZzgXzhWzhUziTzsCzqFzpHznJzmMzkOzjQzH\ 6zREz`LzLSzPSzSSzVSzYSz`SzcSzfSzWozZjzaezd`zgWzjaz\ i`zi`zi_zi_ziZziZziZziYziYziXziXziXziWziWziVziVziU\ ziUziUziTziTziSziSz7jzAhzDgzGezJdzMbzPazS_zVZzYXz`\ WzcUzfTzryzopzmhzk_zubztazs`zs`zr_zq_zqZzpYzoYzoXz\ nXznWzmWzlVzlUzkUzjTzjTziSzanzdfzgZz_yzaszcmzdhzfb\ zhXzb0zc2zc3zc4zd6zd7zd8ze9zeBzeCzfDzfEzfGzgHzgIzg\ KzhLzhMzhNz6_z8WzATzCPzEL } frm:ObliqueMand {; Jim Muth z=sqr(p1)+pixel, c=p2+(pixel*p3): z=sqr(z)+c |z| <= 100 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint