; Date: Sun, 29 Nov 2009 18:43:31 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 30-11-09 (Quartic and a Pint [7]) ; Id: <1.5.4.16.20091129184327.392715e8@pop.mindspring.com> ; --------- ; ; FOTD -- November 30, 2009 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; While contemplating the mysterious rectangle in one of the ; Z^2.003 Julia sets, I wondered if any Z^4.003 sets also have ; rectangles. I found no rectangles, but I did find a rather ; interesting image, which appears as today's FOTD. ; ; Well, actually it's one of the Z^4.0017... Julia sets that ; appears in the image. I found the exact exponent with the ; evolver. But regardless of how the image was found, it's ; certainly worth the measly 10 seconds required to render it ; from the included parameter file. ; ; The rating of a 7 is just about right for the image. The name ; "Quartic and a Pint" is pure whimsy. I gave the image a square ; format because the nearly circular Julia set doesn't fit very ; well into the standard full-screen 4x3 rectangle. ; ; Those who do not have a spare 10 seconds to run the parameter ; file may view the finished image on the FOTD web site at: ; ; ; ; Full sunshine and a temperature of 61F 16C made the fractal cats ; deliriously happy here at Fractal Central on Sunday. Little ; work to do made me happy. One of those latin bodice-rippers on ; TV made FL happy, while I avoided the TV room. ; ; Since things are going so well, I'll make no promises of ; continued good times, but if nothing unusually bad happens, the ; next FOTD will be posted in 24 hours. Until then, take care, ; and I saw on the internet that Richard Dawkins has just proved ; the existence of God, and will soon announce his discovery. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Quartic_and_a_Pint { ; time=0:00:09.12-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/0/22/1.3333 params=90/90/90/90/-1.220627413556322/0/0/0/4.0017\ 46584063235/0 float=y maxiter=1500 outside=tdis inside=0 symmetry=xyaxis viewwindows=1/1/yes/0/0 colors=000pNPoNPnMPmMPlMPkMPBUJCTKDSKESLFRLFRMGQMH\ QNIPNJPOJOOKOOLNPMNPNMQNMQOLRPLRQKSRKSRJSSJTTITUIU\ VHUVHVWGVXGWYFWYFWWGVVGVUGVTHVSHUQHUPIUOIUOITOJTQJ\ TSJTUITWITYIT_HTaHTcGTeGSgGSiHSkISmJSoKSqLSsMSuNSx\ ORyQQzSPzUPzWPzXPzYPz_PzaPzcPzcPzcP9QV9QT9OSANQALP\ ALNAKMBEKBDJBDHBCGBBECADCABC9AC88BJwCcwCImDIwDHAd7\ Si7Um6Wq6YoB_mFalJcas1_kDYcOX_MXXKXUIXQGXNEXKDYGNZ\ DW_Ae`7nd9jgBgjCdmEapGYsHVvJSqKPwTMze_zrczzznnJhjM\ bfPXbSRZSLVTFRWAOYHQUNSQUUMMmHNmHOmIPmIQmISmITnIUs\ JVsJWxJYxJZxJ_xK`tKbtKcoKdoKeozfozhpLipLjpzkpMmpMn\ pMopMpqMqqNsqNtqNuqNvqNwqNvpMvoMunLunLtmLtlKskKskJ\ rjJriJqiIqhIpgHpfHofHoeGndGzmGzcFmbFlaElaEl`Ek_DkZ\ DjZCjYCiXCiWBhWBhVBgUAgUAfT9fS9eR9eR8dQ8dP7cO7cO7b\ N6bM6bM6aN8aO9aOBaPCaPDaQF`RG`RH`SJ`SK`TL`UN_UO_VP\ _VR_WS_XT_XVZYWZYYZZZZ__Z_aZ`bY`cYaeYbfYbgYciYcjXd\ kCkGDlGElGFlGHlGIlHJlHKlH } 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========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint