; Date: Fri, 13 May 2011 18:51:07 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 14-05-11 (Cubic Action [7]) ; Id: <1.5.4.16.20110513185108.1067a7f0@pop.earthlink.net> ; --------- ; ; FOTD -- May 14, 2011 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; The classic Mandelbrot set might be the greatest of all ; fractals, but let's not forget the Z^3+C Mandeloid, the cubic ; figure, which is almost as great and in addition holds some ; features with no analog in the classic set. ; ; To be honest, the parent fractal of today's image is not exactly ; the Z^3+C Mandeloid. It is the Z^(3.003)+C Mandeloid. The ; differences are very small however, and I'm sure that a ; virtually identical scene could be found in the pure Z^3 set. ; ; I stumbled upon the scene by accident while searching for ; rectangles in the Julia sets. Instead of rectangles, I found ; today's image, a fair consolation prize. ; ; When all the pluses and minuses were figured in, I gave the ; image a rating of a 7. The name "Cubic Action" needs no ; explanation. ; ; The calculation time of 3-1/2 minutes is a small drag, but why ; worry about running a parameter file when the finished image may ; be viewed already calculated on the FOTD web site at: ; ; ; ; The image is available in glorious high-definition at: ; ; ; ; The original FOTD web site may be accessed at: ; ; ; ; A heavy gray overcast and temperature of 66F 19C muffled things ; here at Fractal Central on Friday the 13th. The fractal cats, ; not believing in bad luck, took things in stride, and worked off ; their excess energy chasing each other up and down the hallway. ; ; The humans had another un-notable day, where everything went ; along pretty much according to schedule. The next FOTD will be ; posted in 24 hours. As always, if an antiquing expedition comes ; up on Saturday, the next FOTD might be late. Until next time, ; take care, and if the solutions to the world's problems are as ; simple as some people say, why haven't the problems been solved? ; ; ; Jim Muth ; jamth@mindspring.com ; ; ; START PARAMETER FILE======================================= Cubic_Action { ; time=0:03:31.19-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 center-mag=-1.096032374971432/-0.000000000036281\ 81/6.781329e+011 params=0/0/0/90/0/0/0/0/3.003/0 float=y maxiter=2700 inside=0 logmap=428 periodicity=6 mathtolerance=0.05/1 colors=00090`80a70a90_A0ZC0YD0XF0WG0VI0UJ0TL0SM0RN\ 0QO0PO0PP0PP0OP0OQ0OQ0OQ0NR0NR0NR0NO0QL0SI0UF0WC0Y\ 90_C0bF0dI0gL0iO0lR0nU0qX0s_0vb0xc0sc0na0j`0d_0__0\ U_0OZ0RX0UU0XR0_O0`K0bG0dC0f80g90i50k10m30n60lD0jF\ 0hH0fJ0dL0cN0cP0bQ0aR0_S0YT0WV0UX0SV0QT0OR0MP0KN0K\ L0KK0KI0KG0KF0KF0KC0KB0KA0KC5PDAUEFZEKcFPhGUmHSlHR\ kIPjJNiKLhKJgLHfMFeNDdNCcRLXVTQZaKbiDfq7bkD_fIW`OT\ WTQRYRU_RW`RYaR_bRacRcdSefSggSihSkiSmjSokSqlQniPlf\ OjdNhaMfZLdXKbUI_RHYPGWMFUJESHDQECOCEQEFSGHTIIVKJW\ MLYOMZQO`SPaUQcWSdYTf_UgaSibQjbPlcNmcModKpdIqdHseF\ teEvfCwfBxfUmiccchhhmmmooorrrtttwwwvwzuuuptpnormqn\ jnkgkhdgeadb_a_TXWMSTFOQHWWJcaLkfOlcQlaTlZVmXXmV_m\ SamQcnOfnLhnJjnHhkFghEffCdcBc`9bZ8c`7da7db7ec6ed6f\ e6ff5gg5gh5hi4hj4ik4il4hm8gmBfmzemzdmzcmzbmzanz`nz\ _nzZnzYnzXnzWnzVzzUzzUzzTzzmzzmzzmzzmzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:SliceJulibrot4 {; draws all 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;