; Date: Thu, 03 Apr 2008 21:47:23 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 04-04-08 (Fighting the Blues [Fluid Rating]) ; ; Id: <1.5.4.16.20080403204945.2ae74e88@pop.mindspring.com> ; --------- ; ; 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: ; ; ; ; 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|