; Date: Sun, 20 Mar 2005 11:56:59 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 20-03-05 (Seahorse Swirls [6]) ; Id: <1.5.4.16.20050320115742.29dfae28@pop.mindspring.com> ; --------- ; ; FOTD -- March 20, 2005 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's image slices the Julibrot in the area of Seahorse Valley ; in an orientation 5/6 of the way from the Rectangular toward the ; Julia. The image bears little resemblance to either the Mandel- ; brot or Julia aspects of the area, which is not surprising, as ; Seahorse Valley is a four-dimensional thing with more ways to be ; sliced than a cat has of finding trouble. ; ; The Seahorse Valley Julia set is not far off however. To see it ; appear almost magically, change the real(p1) parameter to 90. ; This is most interesting if the change is done incrementally. ; To see the valley itself, change both parts of (p1) to zero and ; rotate the image minus-90 degrees. ; ; I named the image "Seahorse Swirls" because of the prominent ; bluish swirls on both sides of the blue center stripe, which is ; actually the coming together of the two branches of Seahorse ; Valley as seen from the side. I rated the image an average 6. ; I could give it nothing higher because this kind of image has ; been done so many times that it has become hackneyed. ; ; The image boasts one good feature however -- it is very fast, ; making its variations very easy to do. And as almost always, ; the finished image is available for download and judging on the ; FOTD web site at: ; ; ; ; I intended to take it easy on Saturday and that is what I did. ; I took it so easy that the day seemed only half as long as most ; days, and at the end of the day I was left thinking. It is ; amazing how fast time passes when one is not watching it pass. ; But what is time? Since we can partly control its apparent rate ; of passage, it must to some degree be a psychological creation, ; but if this is so, then space must also to some degree be a ; psychological creation. At this point, my team took the lead ; with a three-pointer and my thoughts turned to more immediate ; and important things. ; ; The fractal weather was quite pleasant on Saturday, with ample ; sun, gentle breezes, and a high temperature of 57.4F 14.1C as ; measured by the fractal digital thermometer. The cats, not ; worrying themselves with tenths of degrees, found the day plea- ; sant enough to pass the entire afternoon in the yard, keeping ; away the mean tomcat from up the hill. They were quite success- ; ful, for the other cat never showed up. Today is starting ; chilly and foggy, with rain in the area. I fear the good day ; will not be repeated. ; ; For me it looks like another slow day on the way. Maybe I'll ; solve the puzzle of time and space, more likely not. But in any ; case, the next FOTD will appear in all its glory in 24 hours. ; Check back to see the great event. Until then, take care, and ; don't waste spacetime. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Seahorse_Swirls { ; time=0:00:41.20--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-xy-zw-new function=flip/ident center-mag=0/0/1.131455/1/90/3.885780586188048e-016 params=75/90/2/0/0/0/-0.75/0 float=y maxiter=7500 inside=0 logmap=3 symmetry=xaxis periodicity=10 colors=000OHVPIUQJTRKSSLRUMQWNPYOO_PNaQMcRLeSKgTJi\ UIjVHkWGlXFmYEnZDo_Co`BpaApb9qc8rd7se6tf5ug7uh8vi8\ wj9xj9yj7zj4zj2yl3ym4xn5xp5wq6wr7vs8vu8uv9uwAuxAby\ ELzIOxHQvGStGUrFXpFZnE`lEbkDeiCggCieBkcBnaAp_ArY9t\ X9sQLrJWqCfp5qiBlbGfXFaVEXTDSRCTPBUNAULAUKAUMAUOAU\ QAURAVTAWVAXWAYYAZ_A_`A`b9ad8be7cg6ci5cj4ceAcaGmYM\ mURmQXmMbmIgmGfmEfmCemAem8dm6dm4cm3cm8YmDTmINzNIzS\ DzQFzPHzOJzNLzMNzLPzKRzJTzHVzGXzFZzE`zDbzCdzBfzAgz\ jezhbzf`zeZzcWzbUz`Sz_QzWPzTOzPOzMNzINzFMzCMzELzFL\ zHKzIKzKJzLJzMIzOIzPHzRHzSGzTGzFyzGtzGpzGlzHhzHdzH\ `zHXzIXzIWzJWzTJzXMzaPzeSzfUzgVzhXziYzj_zk`zlbzmcz\ nezofzphzqizrkzslziiz_fzQdz`TzaQzaOzaLzaJzaHzaEzaC\ zaAzuVztWztWzsXzsXzrYzrYzrYzqXzqXzqXzqWzqWzqWzqVzq\ VzqVzqUzqUzqUzcbzRjzErz1zz6uzBpzFkzKfzPazTXzYSzbNz\ fJzaLzYNzTPzPRzLTzRUzXVzbWzhXznXzoWzoWzL`zKZzKXzJU\ zJSzIQzHOzHLzGJzGHzFFzECz } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } ; END PARAMETER FILE========================================= ; ;