; Date: Wed, 16 Mar 2005 11:58:32 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 16-03-05 (Rectangular Julia [4]) ; Id: <1.5.4.16.20050316115911.0d774c38@pop.mindspring.com> ; --------- ; ; FOTD -- March 16, 2005 (Rating 4) ; ; Fractal visionaries and enthusiasts: ; ; The figure in today's image does not resemble a midget Mandel- ; brot set. Nor does it resemble a midget Julia set. It is some- ; thing entirely different -- a midget Rectangular set -- and it ; looks like nothing that could appear in the more conventional ; Mandelbrot or Julia fractals. ; ; On the surface, today's image suggests a midget Julia set, but ; Julia midgets are always symmetrical, and the thing in today's ; image is certainly not symmetrical. Its left side is entirely ; different from its right side. The left side is filled in, ; while the right side is open. And what about those brilliant ; straight elements in the background? ; ; Such straight elements never appear in Julia or Mandelbrot ; fractals. They appear only in certain odd slices between the ; two orientations. They are the give-away that we are in an odd ; orientation of the Julibrot. ; ; The location of today's scene is the vicinity of the northeast ; shoreline of the main bay of the large midget on the negative ; stem of the Mandelbrot set. It is located on the imag(z) axis, ; some distance from the actual Mandelbrot set, however. ; ; Some rotation and stretching was needed to bring the elements of ; today's scene to a more familiar proportion. I did no skewing, ; but the effect of the rotation, combined with the stretching, ; was to skew, or rather unskew, the image. ; ; The name "Rectangular Julia" is a simple description. The ; rating of a 4 is about what the image deserves. Such scenes ; have appeared numerous times in previous FOTD fractals, and the ; coloring is merely average. ; ; The render time of around 8 minutes is slightly slow, but com- ; pared to the horrendously slow image that will appear tomorrow, ; it is as fast as light. Luckily, relief is, and will be, at ; hand on the FOTD web site at: ; ; ; ; where the image has been posted, completed and ready for ; download. ; ; A sunny but chilly 48F 9C day on Tuesday here at Fractal Central ; limited the cats' outdoor time to under one hour, but in that ; time they had enough excitement for an entire day. While they ; were resting in the holly thicket, the tough gray-and-white cat ; from up the hill intruded in the yard, and it took immediate ; loud action by both Thomas and Tippy to chase him back where he ; belongs. When they came inside, I rewarded them with extra tuna ; and a bit of cheddar cheese. Today is starting partly cloudy ; and chilly again. We could be in for a repeat. ; ; For me, it looks like just another in an unending string of ; similar days. But this does not mean boredom. How could one be ; bored in a world composed of the fractals that we call atoms? ; The next FOTD will appear in 24 or so hours. Until then, take ; care, and relax. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Rectangular_Julia { ; time=0:07:54.89--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=flip/ident passes=1 center-mag=-0.10991105963559750/+0.006420\ 75384452202/11016.77/0.6894/-138.7784/65.942449468\ 6845151 params=0/90/2/0/0/0/-1.748/0 float=y maxiter=16000 inside=0 logmap=30 periodicity=10 colors=000KRNKRLKSJKTHKUFKVDKWBKW9KX7KY5KZ3K_1K_0K\ `1K`1L`1L`2M`2M`2N`2N`3O`3Oa3Pa3Pa4Qa4Qa4Ra4Ra5Sa5\ Sa5Tb5Tb6Tb6Ub6Ub6Vb7Vb7Wb7Wb7Xc8Yc8Zc8_c9`c9ac9bc\ 9ccAdcAedAfdAgdBhdBidBjdBkdCldCmdCmeCmeDmeDmeDmeDm\ eEmeEmeEmeEmdDmdDmcDmcDmbDmbDmbDmaDmaDm`Dm`Dm_Dm_D\ m_DmZDmZDmYDmYDmYDmXDmXDmWDmWDmVDmVDmVDmUDmUDmTDmT\ DmTDmSDmSDmRDmRDmQDmQDmQDmPDmPDmODmODmNDmNDmNDmMDm\ MDmLDmLDmLDmKDmKDmJDmJDmIDmIDmIDmHDmHDmGDmGDmGDmFD\ mFDmEDmEDmDDmDDnDDnCDnCDoBDoBDoBDnCEnCEnCFnDFnDFnD\ GnDGnEGnEHnFHnGInHInIInJJnKJnLJnMKnNKoOLnPKnQJnRIn\ SHnTGnUFnVEmWEmXDmYCmZBm_Am`9ma8mb7lc7lc6lc5lc4lc3\ lc2lc1lc1kc3kc4kc5kc6kc7kc8kc9kcAkczkczkczkczkczjc\ zjczjczjczjdzjezjfzjgzjhzjizjjzjkzjlzjmzinziozipzi\ qzirziszitziuzivziwzixziyzizzizzhzzhzzhzzhzzhzzhzz\ hzzhzzhzzhzzhzzhzzhzzizzhzzhzzgzzgzzfzzfzzfzzezzez\ zdzzdzzczzczzczzbzzbzzazz } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } ; END PARAMETER FILE========================================= ; ;