; Date: Thu, 19 Mar 2009 23:19:35 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 20-03-09 (Looping Bridges [In Doubt]) ; ; Id: <1.5.4.16.20090319221947.2be77e4e@pop.mindspring.com> ; --------- ; ; FOTD -- March 20, 2009 (Rating in Doubt) ; ; Fractal visionaries and enthusiasts: ; ; Today's strange image is a scene in an almost-Julia set of the ; northeast shore line of the main bay of the Mandelbrot set. It ; is not part of a Julia set, nor is it part of a perturbed ; Mandelbrot set. It is an oblique slice through the Z^2+C ; Julibrot figure oriented within a degree or so of the Julia ; direction. ; ; The straight bright bar across the lower part of the scene is ; what I call a bridge. It appears straight because regardless of ; where Z is initialized in a perturbed M-set, the points will ; always settle into the same orbits unless they escape first. ; ; I had no idea how to rate such an image, so I left the rating in ; doubt. The name "Looping Bridges" describes the many loops and ; spirals dancing around the bridge. ; ; The calculation time of 2 minutes is thankfully fast, though the ; trip to see the completed image on the FOTD web site at: ; ; ; ; could be even faster. ; ; A cloudy start gave way to a partly cloudy afternoon here at ; Fractal Central on Thursday. The fractal cats enjoyed the times ; when the sun was shining and made the best of things when it was ; not. The temperature hovered around 52F 11C most all afternoon. ; ; My day continued busy. The next FOTD will be posted in about 24 ; hours. Until then, take care, and look for light. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Looping_Bridges { ; time=0:02:08.44-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot4 passes=t maxiter=18000 center-mag=0.00665081/0.170958/3.138989/1/-90/0 params=90/90.07/92.48/89.01/0.2438/0.5139/-0.0081/\ 0.5024/2/0 float=y inside=0 logmap=-3 periodicity=9 colors=000jRhh0efVbd0_bYX`AVZaSXKPVdMTKKRgHPKENkBK\ N4Ml9OMDQcHRLLTWQVKUXVYW0cYQaZ0`_NZ`0YaNXb0VcNUe0S\ fURg0QhVOi0NjSMk0KmTJn0HoVGphlqijrnCsXBtYDtYEzzFtz\ GtzHtZJtZKCzxCzxCzxDzxDzxDzxDzxEzxEzxEzxEzxFzxFzxF\ zxFzxGzwGzwGzwGzwHzwHzwHzwHzwIzwIzwIzwIzwJzwJzwJzw\ JzwKzwKzwKzwKzwLzxLzxLzxLzvMzxMzxMzxMzxNzxNzxNzyNz\ yOzyOzyOzyOzyPzyPzyPzyPzyQzyQzyQzyRzyRzyRzyRzzSzzS\ zzSzzSzzTzzTzzTzzTzzUzzUzzUzzUzzVzzVzzVzzVzzWzzWzz\ WzzWzzXzzXzzXzzXzzYzzYzzYzzYzzZzzZzzZzzZzz_zz_zz_z\ z_zz`zz`zz`zz`zzazzazzazzazzbzzbzzbzzbzzczzczzczzc\ zzdzzdzzdzzezzezzezzezzfzzfzzfzzfzzgzzgzzgzzgzzhzz\ hzzhzzhzzizzizzizzizzjzzjzzjzzjzzkzzkzzkzzkzzlzzlz\ zlzzlzzmzzmzzmzzmzznzznzznzznzzozzozzozzozzpzzpzzp\ zzpzzqzzqzzqzzqzzXzzXzzXzzYzzYzzYzzYzzYzzYzzYzzYzz\ YzzYzzYzzYzzYzzYzzZzzZzzZzzZzzZzzZzzZzzZzzZzzZzzZz\ zZzzZzz_zz_zz_zz_zz_zz_zz } frm:SliceJulibrot4 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint