FOTD -- July 08, 2009 (Rating 7) Fractal visionaries and enthusiasts: Today's image is sliced in the direction I have named Parabolic. With the real(Z) axis perpendicular to the screen in our 3-space, and the Mandelbrot aspect on the screen, we are looking down from above. And what do we see? . . . more fractal elephants! The elephants are everywhere when the period-30 East Valley elephant complex is viewed in this direction, but they are well hidden. I had to do quite a bit of stretching and skewing to make them recognizable. The baby elephant in the upper left corner is almost, should I say . . . cute. It actually appears to be leaping into the air, something I doubt an everyday elephant could do. And what about those elephants at the right edge of the frame? They seem to be falling into an abyss. They really are fractal elephants, but since when do elephants behave like this? Also, where are the double-spiral things that look like big eyes with a big bulbous nose between? They are everywhere in every East Valley. Actually, they are closely related to the fractal elephants, though the connection will have to wait until another day. Tomorrow's FOTD will show some Elliptic elephants. They are there in the Elliptic planes also. The rating of a 7 that I gave today's image might be a bit liberal. And the calculation time of under 6 minutes may be eliminated entirely by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Typical early July weather prevailed here at Fractal Central on Tuesday. The temperature of 84F 29C and partly cloudy skies were right on the normal mark. The fractal cats slept through most of it. My day was rather busy but still under control. The next FOTD will be posted in 24 hours. Until then, take care, and fly like an elephant. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= ParabolicElephants { ; time=0:05:50.97-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=SliceJulibrot4 passes=t maxiter=27500 center-mag=-0.00059573625921465/-0.446555463085238\ 70/1341.626/0.2304/90/-86.8491299926404423 params=0/90/0/0/0.26090366/-0.00195958/0/0/2/0 float=y inside=0 logmap=29 periodicity=10 colors=000wzMxzLwzKuzKszJqzIozHlzHizGfzGczG`zFYzHW\ zKUzNSyQRxTQxWPxZPyaPycPyePxgPxjPxmPwpPwsPwvPwwPvw\ PvvPvsPuqPuoPumPtkPtiPtgPtePscPscPsaPr`Pr`Pr`Pq_Pq\ _Pq_Pq_Pp_PpZPpZPoZPoZPoYPnYPnYPnYPnYPnYPnYPnYPnYP\ lVPiSPfQPcNP`KPYHPVFPSCPP9PM7UM8ZK8cJ9hH9mGAmEAmDB\ rBBv89zABzBCzCDvDErFFmGGhHHcIIaKJ_LKYMLWNMUPNSQOQR\ POSQMURKVSIWUGXVEZWC_XA`YAaZAc_9d`9ea9fb9hc9id8je8\ kf8mg8nh8oi8pj9oi9niAmiAliAkiBjiBiiBhiCgiCfjCekDdl\ DcmDbnEaoE`pE_qFZrFYsFXtGXuGXvHXwHXxH`yIYzI_zIazJg\ zJazJ`zKVzKUzKOzLNzLHzLGzMFzMEzMDzNCzNBuK5pM8pNApP\ CpNApOCuPDuQEuRFzRGzSHzTIzUJzULzVMzWNzXOzYPzYQzZRz\ _Sz`Uz`VzaWzbXzcYzdZzd_ze`zfbzgczgdzhezifzjgzkhzki\ zlkzmlznmznnzoozppzqqzrszquzqwzqwzpwzpwzpwzowzowzo\ wznwznwznwzmwzmwzmwzlwzlwzlwzkwzkwzkwzjwzjwzjwziwz\ iwziwzhwzhwzhwzgwzgwzgwzfwzfwzfwzewzewzewzdwzdwzdw\ zcwzcwzcwzbwzbwzbwzawzawz } 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=========================================