; Date: Thu, 18 Jun 2009 18:09:50 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 19-06-09 (Seahorse Valley-19 [7]) ; Id: <1.5.4.16.20090618181119.2b574a0a@pop.mindspring.com> ; --------- ; ; FOTD -- June 19, 2009 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today we have a scene very near the Julia set of Seahorse Valley ; of the (-Z)^(2.5)+C Mandeloid. Actually, the image has been ; rotated 6 degrees from the Julia orientation toward the Oblate ; orientation. ; ; Instead of being at -0.75 on the X-axis, the seahorse singular- ; ity in this Mandeloid lies near -0.760037363. To see the pure ; Julia set, which is far less interesting, change real(p1) to ; zero and reduce the maxiter to 150 to save time. ; ; The first thing I notice about the image is the open slit along ; the X-axis. This is the area near the singularity between the ; north and south arms of the valley. ; ; Next, I notice the many proto-peanut holes. Most have only two ; lobes, but the two at the left end of the fractal appear to have ; developed four lobes, and the brilliant open area on the X-axis ; just left of center is certainly a peanut hole in the making. ; ; Actually, I'm not sure that the image is mathematically correct. ; The X-axis symmetry might be an artifact of the math routine. ; To see the problem, set real(p1) to something like 0.0000000001. ; The image still has X-axis symmetry. Then set real(p1) to zero, ; and the right half of the resulting fractal totally changes. ; Such a small parameter change cannot possibly make such a large ; change in the resulting image. But real or an artifact, today's ; image rates a 7. ; ; The calculation time of 2-1/2 minutes is quite reasonable even ; for the most fanatical rationalists. And never forget that the ; finished image is available on the FOTD web site at: ; ; ; ; Thursday started with rain here at Fractal Central, but just ; after noon the sky brightened and the rain ended. One final ; sprinkle fell at 2pm, but after that the sun appeared and it was ; a fine day, with a temperature of 77F 25C. After chasing away a ; couple unwanted stray cats with their fierce glares and mighty ; growls, the resident fractal cats spent the day sleeping and ; ignoring the weather. ; ; My day was average. It's not boring; it's peaceful. The next ; FOTD will be posted in 24 hours. Until then, take care, and be ; fractalish. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Seahorse_Valley-19 { ; time=0:02:27.18-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=SliceJulibrotMin4 center-mag=-0.056338\ /0/1.03 params=84/0/90/0/-0.760036373/0/0/0/2.5/0 float=y maxiter=50000 inside=0 logmap=yes periodicity=10 colors=000hKdhLehMfhNghOihQjhRkhTmhVnhWphYqh_rh_th\ auhavhcwhcwhcwhdwhdwhewhewhfwhfwhfwhfwhfwT22V68X9D\ ZDI_GNaKScNXdQacP`bP_bO_aOZaOY`NY`NX_NWZMWZMVYMVYL\ UXLTXLTWKSWKRVJRUJQUJQTIPTIOSIOSHNRHMRHMQGLPGLPGKO\ FJOFJNEINEHMEHLDGLDGKDFKCEJCEJCDIBCIBCHBBGABGAAF99\ F99E98E87D87D86C76B75B74A64A63962952851640851951B6\ 2C62E72F73H83I83K84L94N94OA5QA5RB5TB6UB6WC6XC7ZD7_\ E8aF8bG8dH9eI9gJ9hKAjLAkMAmNBnOBpQBqSCsUCt`CvcDwcD\ xhDqmCmmBmmBmmAmlAmk9mj1mi5mh9mgDmfGmeKmaOv_SwYRwW\ RwUQwSQzQPzPPzOPzOOzOOzPNzPNzPMzPMvQMwQLuQLsRKqRKo\ RKmSJkSJiSIhSIhTHgTHfTHfUGeUGeUFdVFcVFcVEbVEbWDaWD\ aWC`XC_XC_XBZYBZYAYYAYYAX_9W`9Va9Uc8Td8Se8Rf8Qh7Pi\ 7Oj7Nk7Mm6Ln6Ko6Mp6Oq7Qr7Ss8Ut8Wu8Yv9_w9axAcyAezAg\ zBizBkzBmzCozCqzDszDuzDwzEyzEzzEzzFzzFzzGzzGzzHzzH\ zzLzzPzzUzzZzzczzhzzmzzrzzvzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:SliceJulibrotMin4 {; 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========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint