; Date: Wed, 09 Apr 2008 23:03:13 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 10-04-08 (All Hell Breaks Loose [!!]) ; ; Id: <1.5.4.16.20080409230541.2b1f6500@pop.mindspring.com> ; --------- ; ; FOTD -- April 10, 2008 (Rating !!) ; ; Fractal visionaries and enthusiasts: ; ; Look at what has happened to the perfect minibrot of yesterday's ; image. Not only has it stretched beyond recognition, it has ; come apart. But this is what happens in the four-dimensional ; Julibrot when the Mandelbrot scene is double-rotated and sliced ; at a critical angle. In this case, the angle defined by the ; real(p1) parameter is the critical one. A change as little as ; 0.1 degree makes a world of difference. ; ; I was so surprised at the result that I rated the image at a !! ; This is a most unusual rating indeed. And I must apologize for ; the name "All Hell Breaks Loose". The image is not really that ; violent, and I doubt that any fractalists believe in the literal ; existence of that legendary hot place down below. ; ; As for a description of the motion known as double rotation, I ; am working on it, but at the same time I am finding it extremely ; difficult to put into words. ; ; Those in a hurry will find the calculation time of 34 seconds ; quite reasonable. Those even more hurried may view the finished ; image on the FOTD web site at: ; ; ; ; With a temperature of 63F 17C, Wednesday was mild enough here at ; Fractal Central in central Pennsylvania, but the clouds kept it ; from being ideal. The fractal cats live in an ideal world, so ; they were not disturbed by the grayness. ; ; My day was moderately busy, but we were irritated by an irate ; customer who claims he didn't get what he wanted and refuses to ; pay his bill. Thankfully, fractals do not incur bills, and even ; if they did, they would never refuse to pay. The next FOTD will ; be posted in 24 hours. Until then, take care, and keep going in ; hypercircles, whatever they are. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= AllHellBreaksLoose { ; time=0:00:34.64-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot4 center-mag=+0.000000006\ 15716237/+0.00000013555853479/1.861013e+008/0.0130\ 8/92.6807800722809247/-33.0516955361447415 params=-92.5/162/147/-42/-1.749446905449293/6.8348\ 87985e-007/-1.749446905449293/6.834887985e-007/\ 2.0000001/0 float=y maxiter=1800 inside=0 logmap=181 periodicity=10 colors=0003966A79B8BC9ED9HEAKFBOFBRGCWHD`IDdNEkTFl\ aOikYftVmzSrzQvzNzzK_PHNYnLYjIYeGZaEZXBZT9_O6_K4_F\ 2_B7XCCVDHTDMQEOXCROEWMFewcdoZcgUb_PaSKfEsdGjcHbbI\ VaJNI`RKZQLYPNXOOWNPUMRTLSSLTRKVQJWOIXNHzzztwsornk\ ieg`XcSOzXLvVLqSHjOFeMF_ic``V`SNo_9lXAjUBgSCePDbME\ LhzNevOcrPanR_jSYfTWbVUZWSVXQRZON_MJiF0hG2gG3fH4fH\ 5eH6dI7dI9cJAbJBbJCaKD`KEL5kTDVxy9vvAtsArpBqmBojCm\ gCldCjaDhZDfWEeTEcQFaNF`7l`9h`Ad`C``DX`FU`GQ`IM`JI\ sSNoQLkOJgNIcLGjzJgoIedHbUGYtjZqgZoeZlcZjaZg__eY_b\ W_`T_YR_WP`TN`RL`OJ`MHLk9MiANgAOeBPdBQbBR`CSZCTYCU\ WDVUDWSEXREYPEZNF_LFkmzjjuigqhdlgbhf_deX_dUWcSSbPN\ aMJlVFjTFhRFfQFeOFcNFaLF0OR4NP7NOBMNEMMHMLLLKOLJRL\ IVKHYKGxQ0vP1uP2sO3rO4pP5oQ6mS7lU8jW9iYAg_BfaCdcDc\ eEagFiicgk_fmWeoTcqPbsMauIUwIWxHXyHYzGZzG_zFQzfUzX\ YzORzuSzqTzmUzjVzfWzcWz_XzWYzTZzP_zM`zICzzPzbtzroz\ hjzZezPDzrHzkLzdPzZTzSXzL } 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