FOTD -- April 04, 2008 (Fluid Rating) Fractal visionaries and enthusiasts: I recently came upon an article somewhere on the internet that claims we need a new scientific paradigm. Apparently the modern theories of physics are very difficult to fit into the classic Newtonian paradigm, which assumes that there actually is an 'ultimate reality' 'out there', and measuring physical material and energies is as close as we can come to knowing it. All this is very interesting, but if this is not true, I wonder what science would turn to for an ultimate reality if it were forced by its discoveries to admit that the physical universe might not be as real as it appears to us through the indirect means of our senses. Perhaps we would need to turn to numbers and fractals for the ground of our being. Sometimes all this philosophical pondering gets wearisome. I'm no closer to an answer that I was when I read that book about the philosophy of science 40 or 50 years ago. But some things never grows wearisome, and at least for me, one of those things is the universe of fractals. Today's fractal image is named "Fighting the Blues". Its parent fractal came to be when I checked the formula Z^(2.01)+C as it appears 1.5 levels up the logarithmic ladder when no function is applied. At this level the almost-Mandelbrot set is rotated 180 degrees, so that East Valley falls on the negative X-axis, where all the fractal splitting is found. Today's scene is located in this shattered version of East Valley. The image looks as though it were very near the cut-off point of the bailout radius, but this is not so. I raised the bailout to 2100 and it made no difference. The increased bailout does make a difference in the appearance of the image however. I rendered the scene with the outside set to 'tdis', which colors the bands of the image according to the distance the points travel before finally escaping for good. Obviously, a larger area in which to skip about will affect the total distance a point covers before finally escaping. I gave the image a fluid rating. This means I was so uncertain about the quality of the image that I decided to leave it to the viewer to rate the image as he sees fit. I kind of like the moody overall blueness, but at the same time I feel that the image is too flat. One opinion cancels the other and leaves me totally undecided. One thing certain is the calculation time, which on a reasonably fast almost SOTA 2000mhz machine is about 2-1/2 minutes. Or, instead of waiting, the impatient fractalist may speed to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and enjoy the finished image posted there. Morning sun gave way to afternoon clouds and evening rain here at Fractal Central on Thursday, while the temperature of 52F 11C kept things relatively pleasant. The local fractal cats consi- dered the situation, stretched and went back to sleep. In my department, the day was average. If tomorrow is the same, I'll call it a success. Until then, take care, and watch your paradigms. Whatever they are, they're getting trendy. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Fighting_the_Blues { ; time=0:03:33.34-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.254450031265811/-0.0000447770940377/\ 2101678/1/45/0 params=2.01/0/1.5/2000 float=y maxiter=1500 inside=0 outside=tdis logmap=old periodicity=10 colors=000cuAguDguDguDguDjuFjuFjuFjuFnuInuInuInuIr\ uKruKruKruKuimuDuu0uu0un0uj0ug0uc0u`0uY5uUDuPKuLTu\ JbuGmuEuuBuu8uuvK0uF0nD0gA0`50U30L20G00B0060030000\ 0000000000000000650PO7gfIvuTvufwwwvuuvuuvtujOuL0u3\ 0uG0uU0uj0qv5XvFFvO20uuv0uv0uv0uv0uv0uv0uv5uuAunIu\ jOucTuYbuUitPtqJumGuiBub6u_3uX0uQ0tO0qK0mI0mD0iA0f\ 70f50OA07F00K00Q00I60DU35vA2vI0vF2vF5vFArFFjFK0Wu0\ WuJFbEFfzzzzzzzzzzzzzpzyfxyXzuPzrIunAuj5uj3ug5uc7u\ `AuYHuWKuROuJRuETu8Vu4Xu0Zu0`u0bu0cu0cu0cu0bu0au0`\ t0Zt0Wy0Vs0Sp0Qn0FW00W00W00WB0W`0tv0uv2uvAuvIivXKv\ _2vb0vf0vi0vt0vu0vu0vu0vu0vu0vu0vu0vu0vuuvuuvuuvuu\ vuuvuuvuuvuuvuuvuuvuuvuuvuuvuuvuu6iu4iu1iu0iu0iu0i\ u0iu0iu0iu0qu0tu0uu0uu0uu0uu0uu0uu0uu0uu0uu0ut0uq0\ ui0uf0ub0uX0uT0uO0uK0uI0uD0uA0u70u50u50u51u56u3Bu3\ Gu3Lu3vuivqKjT3YD0L00J00J00G00G00G00E00E00E00B00B0\ 0B000700720Q30i54u5Eu7RuA } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================