; Date: Tue, 14 Aug 2007 21:29:09 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 15-08-07 (The Joker Laughs [Not Rated) ; ; Id: <1.5.4.16.20070814213456.2a777d68@pop.mindspring.com> ; --------- ; ; FOTD -- August 15, 2007 (No Rating) ; ; Fractal visionaries and enthusiasts: ; ; I had to do it. I just couldn't help myself. I had to take a ; perfectly lovely little midget in the Mandelbrot set and turn it ; into a parody of itself. Since the image is just for fun, I ; could not give it a rating, but the parameter file is quite ; fast, and even if the image brings no enjoyment at all, little ; effort will be wasted calculating it. ; ; The midget is located on a filament in the vicinity of the East ; Valley of the large midget on the negative stem of the M-set. ; To see the original midget in its full glory, bring up the 'Z' ; screen, change real(p1) to 45, imag(p1) to zero, real(p2) to 45, ; and imag(p2) to zero. Then go directly to the screen and ; change the x-magnitude to 1 and the skew angle to zero. Strike ; the key twice. You will find that the true midget is ; really quite attractive, with its ring of 8 parading elephants. ; Too bad I spoiled it. ; ; What I did was picture the midget from an oblique angle in the ; four-dimensional body of the Julibrot. The stretching and skew- ; ing was necessary to undo the natural distortion that results ; when Julibrot elements are sliced at slight angles. ; ; I named the image "The Joker Laughs". The Joker has always been ; one of my favorite villians in the Batman series. And the cal- ; culation time of under 2 minutes will try no one's patience. As ; always, the completed image is posted for viewing on the FOTD ; web site at: ; ; ; ; A hazy sky which noticeably dimmed the sunshine kept Tuesday ; from being another perfect 82F 28C day here at Fractal Central. ; The fractal cats ignored the weather. They were too busy watch- ; ing the pigeons scrounging for food on the sidewalk. When the ; birds flew away, the cats thoughts turned to fun and treats. ; ; My day was busier than Monday, but well under control. The next ; FOTD will appear in 24 hours. Until then, take care, and look ; for the bright side of dull, drab fractals. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= The_Joker_Laughs { ; time=0:01:56.82-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 center-mag=-0.000000000\ 32727888/-0.00000000015443144/2.437256e+008/1.8621\ /177.600282113802905/56.7502624222490368 params=131/-44/-97/72/-1.7481510383921/0.001201805\ 9621/-1.7481510383921/0.0012018059621 float=y maxiter=15000 inside=0 periodicity=10 colors=000asYlscnpdondgj`dfKabPZZUWUZTPcQKhNFbKAYH\ 5SD5MA6H76B4751705929B4CD6GF8KH9NJBRLDUNFYPGaRIdTK\ hVMkWNmXOoYOqYOsZPt`PubPxePzhQykQymQwnQvlRriRmfRhe\ RcbSZ`SUYSPWTKUTART5OT2MU2JU2HU2FV2CV2AV28VCFQMLMV\ RIdYEncAwi6tlHroSorbmumntjnthotfotcptapt_qtYqsVrsT\ rsRssPssMtsKtsItsGupFumFujEugEvdDvaDvZCvWCvTBwQBwN\ AwKAwH9wF9wQIw_QwiYvjWukUtkSslQrlOqmMpnKpnIooGnoEm\ pClqAkq8jr6jr4kp5kn6kl7kk7ki8kg9kfAkdAlbBlaCl_DlYD\ lXElVFlTGlSGkTGjVFWOlWSiWVeWZbWaZXeWXiSXlPXpLXsIXw\ EXzBUtGRoLOjQLdVJ_ZGVcDPhAKm8FqBJmEMjHPfKScMV_PYXS\ `UVcQYfN_iJblGeoChr9ju6fh8bXAZKCV8EXDDZID`MDbRDdVD\ e_DgdDihDkmDmqDovDpzDqxHqwKqvNruQrtTrsWrrZqo_qm_qk\ _ph_pf_pd_oa_o__oY`nV`nT`nR`mO`mM`mK`mI`iPceVea`gY\ fiVlkTkeRk_PjUOjOMiIKiCJi7Ih9HgAGfBGeCFdDEdEDLmDMl\ CNkBOjAPiAQh8Rg7Sf6Te5Ud4Vc3Vf4Xd4Zb5``Ab_FeYKhWPj\ VUlTZoRcqQhsOmuMrsGwsMzsS } frm:SliceJulibrot2 {; 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=sqr(z)+c |z|<=9 } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint