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: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> 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=========================================