; Date: Mon, 09 Jul 2007 22:03:49 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 10-07-07 (Gateway Aside [4]) ; ; Id: <1.5.4.16.20070709220906.2bafca10@pop.mindspring.com> ; --------- ; ; FOTD -- July 10, 2007 (Rating 4) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is another unfamiliar side view of the prominent ; north valley of the Mandelbrot set. It is sliced in a different ; direction and the slice is centered at a different point, but ; the valley still appears as a narrow slit. ; ; It may seem surprising that the valley still appears as a slit ; when such a different slice is made of it, but we must remember ; that the whole valley is a four-dimensional thing, and the sharp ; edges of it are actually two-dimensional surfaces, making the ; ways in which it can be sliced nearly infinite. ; ; Yes, I realize that it makes no sense to think of a flat surface ; as being sharp, but in 4-D space this is true. The cutting edge ; of a 4-D knife would be a flat surface of 2 dimensions. ; ; I could rate today's image no higher than a 4. It actually ; might be a little better than yesterday's everyday slice of the ; north valley, but it is the second consecutive view of the same ; thing, which knocks a point or two off its rating. ; ; I named the image "Gateway Aside" since it is a side view of the ; gateway to the north bud. The calculation time of 1-3/4 minutes ; is well within reason. In fact, it is almost as reasonable as ; taking a trip to the FOTD web site at: ; ; ; ; and viewing the completed GIF image there. ; ; A high temperature of 97F 36C made Monday unpleasant here at ; Fractal Central. The cats noted how hot it was on the other ; side of the window, then turned their attention to a chipmunk ; scampering through the grass in the yard. ; ; My day turned busier than expected when two small but unexpected ; jobs came in, but the rush vanished when fractal lady pitched in ; to help. The day ended with me finding the fractal that passes ; for today's FOTD. The next FOTD fractal will likely appear in ; 24 hours. Until then, take care, and live every minute. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Gateway_Aside { ; time=0:01:42.05-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new periodicity=10 center-mag=-1.55118/0/3.057878/0.4822/0/-23.863381\ 4029281019 params=0/152/2/0/-1.141/0.273/-0.12499/\ 0.649525 float=y maxiter=25000 inside=255 logmap=4 colors=000iOKhPLgQMfRNeSOdTPcUQbVRaWSaWT`XU_XVZYXY\ ZYYaZXd_Wg`VjaUmcUjdTgeSdfRcgTclRchPaeO_bMY_KWXJUU\ HSQFQNEOKCMHAKEAJ99IB9ID9IE9IG9IH9HJ9HL9HM9HO9HP9G\ R9GT9GU9GW9GX9GZ9F`9Fa9Fc9Fd9Ff9Eh9Ei9Ek9El9En9EoI\ QrQatYmvexxduxdsxdpxdnxdlxcixcgxcexcbxc`xbZxbWxbUx\ bSxbPxaNxaLxaIxaGxaEx`Bx`9x`7x`4x`2x`0xZ5wX9wWEvUI\ vTNvRRuQVuO_uMctLctJctIcsGasF_sUYhUYZUYMUYPUYRUYTU\ YVUYXUYZUY`UYbUVdUSfUOhULjTHlREnOBpM7rJ4tG0wH1vI1v\ J1vJ1uK2uL2uL2uM2tN2tN3tO3sP3sP3sQ4sR4rR4rS4rT4qU5\ qU5qV5qW5pW6pa6pb6ob6oc6oi7oi7nj7nk7nq8op7no7mn7lm\ 7kl7jk7jj7ii6hh6gg6ff6ee6ed6dc6cb6ba5a`5`_5`Z5_Y5Z\ X5YW5XW5XV6YV6YU6YU6ZT6ZT6ZS6_S6_R7_Q7`P7`O7`N7aM7\ aL7aK7bJ8bI8bH8cG8cF8cE8dD8dC8dDBbDEaDG_DJZDMXDOWD\ RUEUTEWREZQEaOEcNEfLEhKFiLGiLKiMUiMciMejNgjNijNkjO\ mjOokOqkPskPukPvkQwlQxlQylRzlRzlRzlQzlPzlOzlOzlNzl\ MzlLzlLzlKzlJzlIzlIzmJzpK } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint