; Date: Tue, 22 Mar 2005 11:44:14 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 22-03-05 (Forever Waffling [6]) ; Id: <1.5.4.16.20050322114459.2a2783c4@pop.mindspring.com> ; --------- ; ; FOTD -- March 22, 2005 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; With today's image we leave the Rectangular orientation of the ; Julibrot and turn to the orientation I call the Elliptical, ; which is determined by the real(c) and imag(z) axes. I gave it ; this name because when the Julibrot is sliced through its origin ; in this direction, the resulting figure resembles an ellipse ; that has been squashed on one end and stretched on the other. ; The Elliptical orientation is completely perpendicular to the ; Oblate orientation and simply perpendicular to the remaining ; four orientations. The scenes found in it are as varied as ; those found in all other aspects of the Julibrot. ; ; I was about to name today's image "Forever Amber", but then I ; remembered a naughty novel with that name, and decided to ; protect the children. I named the image "Forever Waffling", ; which can be taken as a swipe at certain politicians who can't ; make up their minds, or as a plug for a particular type of ; breakfast food. ; ; The waffling scene is located in the part of the Julibrot ; connected with East Valley of the Mandelbrot set. A large ; degree of stretching and skewing was needed to bring it to a ; recognizable form. Most of the effect of solidity was achieved ; by rendering the image with the outside set to 'fmod' and the ; proximity set to 0.115, which produces the effect of overlapping ; bubbles. ; ; The brilliant sky-blue background is a result of a low proximity ; factor. It is not a true area of trapped points. If the proxim- ; ity, which appears at the bottom of the X screen, is increased, ; the amber elements will thicken and the blue background will ; fill in. If the value of the proximity continues to be raised, ; the image will quickly turn into a screen filled with a single ; flat color. In certain fractals, such as today's, the proximity ; is an important parameter. ; ; The image appears unusually brilliant, and I am not sure of the ; reason. Maybe this effect is peculiar to my particular monitor, ; which has at least 8 years of age on it but appears to be ; operating as good as it did on the day I unpacked it. Or maybe ; it is due to the coloring, on which I actually spent less than ; the normal amount of time. Regardless, the final result is an ; image that earns a slightly above average rating of 6. ; ; The render time of just under 8 minutes borders on unreasonable ; slowness. But relief for impatience is available on the FOTD ; web site at: ; ; ; ; With a high temperature of 50F 10C and limited sun, Monday ; proved barely acceptable to the fractal cats at Fractal Central. ; They spent about 90 minutes in the yard, but were a bit upset ; about the marginal conditions. They cheered up when the tuna ; appeared however. Today is starting sunny, but it is quite ; chilly, and clouds are due to move in by afternoon. The cats ; had best take their outdoor time early. ; ; I have only a small amount of work to finish before I enter ; Fractal Land. The next glorious image will appear in 24 hours. ; Until then, take care, and is it possible for a universe to ; exist in which there is no potential Mandelbrot set? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Forever_Waffling { ; time=0:07:58.51--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=-0.78417915215484530/+0.250205105304999\ 00/7771140/1.89e-005/0.00515606886434218266/89.920\ 4269909497214 params=0/90/2/0/0.5/0/0/0 float=y maxiter=12000 proximity=0.115 outside=fmod logmap=yes periodicity=10 colors=000htzT_UV_UW`UY`UZ`V`aVaaVcbWdbWfcWgcWicXj\ dXldXmeXoeYpfYrfYreXsfYtgZthZui_uj`vj`vkawlbwmbxnc\ xncyodzpezqezrfzsgzsgzthzuizvizwjzwjzuhzsfzqezoczm\ azk`ziZzgYzeWzcUzaTz_RzYPzWOzUMzSLyQJyOHyMGyKEyJDv\ LEtMErOFpPFnRFlSGjUGhVHfXHbXGcYHdYHdYIeYIeYJfZJfZK\ gZKhZKhZLi_Li_Mj_Mj_Nk_Nl`Nl`Om`Om`Pn`PnaQoaQpaQpa\ RqaRqbSrbSrbTsbTpiZreWsbTtZQuWNvTKwPHxMEyIBzF8zC6z\ D6zE6zF6zG6zH6zI6zI7zJ7zK7zL7zM7zN7zN7zO7zP7zQ7zR7\ zS7zT7zT8zU8zV8zW8zX8zY8zZ8zZ8z_8z`8za8za8zd8x`8rW\ 8mR8gM8cH7XA9UJ8XL7_O6cQ5fT4iV3lX2mY3mZ4m_5m`6m`7n\ a7nb8nc9ncAndBneCofCofDogEohFoiGoiHpjHpkIplJplKpmL\ pnMqoMqoNqpOqqPqrQstRqrQpqPooOnnOmlNlkMkiLjhLifKhe\ JgcIebId`Hc_GbYFaXF`VE_UDZSCYRCXPBWOAXK7WM9VNAVOBU\ PCTQDTRFSSGSTHRUIQVJQWKPYMOZNO_ON`PNaQMbRLcTLdUKeV\ KfWJgXIiZIj_Hk`GlaGmbFncFoeEpfDqgDrhCsiBuiCtjDVREV\ RGWRHWSJXSKXSMYSNYTPYTQZT } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } ; END PARAMETER FILE========================================= ; ;