; Date: Sun, 18 Mar 2012 16:35:57 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 17-03-12 (Rectangular Mess [4]) ; Id: <1.5.4.16.20120318153814.2f7747e8@earthlink.net> ; --------- ; ; FOTD -- March 17, 2012 (Rating 4) ; ; Fractal visionaries and enthusiasts: ; ; Since FL and I were away today, which is now yesterday, the FOTD ; is understandably late. But here it is in all its un-glory. ; ; Today we take one final look at the cubic minibrot of March 13, ; this time in the Rectangular orientation, which is determined ; by the imag(c) and imag(z) axes of the Julibrot. And what a ; change we see. The minibrot is a total wreck, well worth being ; rated a lowly 4. All resemblance to any kind of minibrot is ; gone. Instead, we have a narrow slit with its surroundings ; stretched into an S-shape. The whole thing makes a rectangular ; mess, which justifies the name "Rectangular Mess" and also the ; abysmal rating. ; ; The image is more an exercise in stretching and skewing than a ; piece of fractal art. The skewing is greater than 89.999, while ; the Y axis is stretched over 400,000 times its normal length. ; When the narrow slit at the center is un-stretched, it actually ; turns out to be a reasonable fractal, but I'll drop this feature ; where it stands and get on with a more artistic image for ; tomorrow, which is now actually today. ; ; The calculation time of 1-1/4 minutes is more than the image is ; worth. I strongly recommend visiting one of the FOTD web sites ; and saving this time. ; ; The finished image is posted online at: ; ; ; ; A more spectacular high-definition version is at: ; ; ; ; All the images since April 1997 are online at: ; ; ; ; More unseasonably warm late winter weather prevailed here at ; Fractal Central today. The proponents of global warming put on ; their short-shorts and cried "I told you so" as the temperature ; reached 75F 24C under cloudless late-winter skies and a warm sun. ; ; While the humans were away, the fractal cats, needing neither ; heat nor a cool place, spent the afternoon curled on the couch. ; The next FOTD will be posted before too much time has passed. ; Until this intentionally vague moment arrives, take care, and ; the present unusually warm conditions in eastern North America ; indicate nothing about the existence of global warming. Despite ; my conservative tendencies however, I am convinced it actually ; does exist. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Rectangular_Mess { ; time=0:01:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=JulibrotMulti function=recip center-mag=-0.00000000005146396/-0.000052031580625\ 10/1.686185e+008/4.6e-005/-89.9996703841590033/89.\ 9997085166255886 params=3/30/90/0/0/90/-0.87249496\ 34777424/29.73584375063138/0/0 float=y maxiter=1750 inside=0 logmap=77 periodicity=6 colors=00000_00Z00Y00X00W00V00U00T00S00R00Q00Q10P2\ 0O30N40M50L60K70J80J90GA0DB0BC08D16E23F31H43J44L45\ N56P57R58T690Kz0Fz0Az00y00x00w00v00u00t00s00r00q00\ p00o00n00m00l00k00j00i00h00g00f00e00d00c00b00a00`0\ 0_00Z00Y00X00W00V00U00T00S10R20Q30P40O50N60M70L80K\ 90LA0MB0NC0OD1PE2QF3RG4SH5TI6UJ7VK8WL9XMAYNC_OE`PF\ aQHbRJcSLeTMfUOgVQhWSiWTjUYWSbHRf2Tg7UhCViHWiMXjRZ\ kW_l``leamjbnocnslTSt70s83s85r87r89r8Bq8Dq8Fp8Ip8K\ p8Mo8Oo8Qn8Sn8Un8WrOPvcJyrDslHnfKi`NdVR_QUVKXQE`L8\ cG3fL4cQ5aU6_Z7Yb7Wg8Tl9RpAPuBTyBXxA`wAdv9hvAmuKrt\ PwsUxsXyr6Cq6Bp5Ap59o48n47m36m36o2Ap49p69p89qA8rC8\ sE8tG7uI7vK7wM6xP6yS6zV6zY8za9zeAziCzmDzrEwvFrzKoy\ MlwOiuQfsScrUcqWcpYco_cnaclcckecjgckiWgmYjo_hq`hsb\ fuchwaey_ezYczWbzUazSazKgzOhzRizUjzYxz`yzczzgzzjzz\ mzzrzzttzuvzvwzwzzxzzyzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:JulibrotMulti {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p2*0.0055555555555556), b=pi*imag(p2*0.0055555555555556), g=pi*real(p3*0.0055555555555556), d=pi*imag(p3*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), aa=-(real(p1)-2), bb=imag(p1)-0.0000000000000000001, c=p+flip(q)+p4, z=r+flip(s)+p5: z=z*z*fn1(z^(aa)+bb)+c |z|< 100000000 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;