; Date: Sun, 29 Feb 2004 11:37:00 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 29-02-04 (Odd Mandelbrot [5]) ; Id: <1.5.4.16.20040229113945.29cfa6ba@pop.mindspring.com> ; --------- ; ; FOTD -- February 29, 2004 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; Today's image for leap-day has been named "Odd Mandelbrot". ; This is because it is a view of a midget sliced in an odd ; direction of the Julibrot somewhere between the Mandelbrot and ; Julia orientations. ; ; In the odd slices of the Julibrot, the midgets, or holes as they ; could more properly be called, can assume any shape whatever. ; The hole at the center of today's image is clearly not a per- ; turbed Mandelbrot midget. Such fragmentary midgets never have ; the straight edges seen in today's image. Nor could it be a ; Julia set. They also never have features with straight edges. ; It is actually a slice through the Julibrot oriented half way ; between the Julia and Oblate orientations. (The Oblate orienta- ; tion is determined by the imag(c) and real(z) axes.) ; ; The straight line through the northwest corner of the hole is an ; example of one of the features I have named bridges, which are ; actually parts of Mandelbrot valleys seen from the side. ; ; As I mentioned in recent discussions, these odd planes of the ; Julibrot can be rather unattractive, mostly due to the stretch- ; ing, which produces a feeling of stress. After considering ; today's image for several minutes, I decided to rate it at a 5. ; When the speedy render time of 2-2/3 minutes is taken into ; consideration, the overall value registers a 187. This makes ; running the parameter file worth the effort. Those who would ; rather have their fractals already cooked may download the fin- ; ished image from Paul's web site at: ; ; ; ; A nice warm late winter day with lots of sun and a temperature ; of 59F 15C made the fractal cats nice and happy on Saturday. ; They enjoyed several hours in the yard, romping as much as ; 13-year-old cats can romp, which is not much. When evening came ; and the sun went down, they strolled back indoors without com- ; plaint. Today is starting even warmer. How active can the duo ; get? ; ; As for me, I'm simply going to take it easy. After all, it is ; the seventh day of the week, a divinely ordained day of rest. ; Yes, I know that the calendar says it is the first day of the ; week, but the calendar is wrong. Creation began at 9am on a ; Monday. Until next fractal, take care, and see you in fractal ; land. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Odd_Mandelbrot { ; time=0:02:40.70--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 passes=1 center-mag=+0.00000000000151219/-0.000000000003180\ 98/1.776313e+010/0.6892/50/1.31075705844807544e-014 params=45/0/90/0/-0.6351285303263351/0.49205751226\ 41822/-0.635128530326335/0.4920575122641822 float=y maxiter=18000 inside=0 logmap=169 periodicity=10 colors=000qOPnPNkQKhRFeSCbTAZU9VU8QV7MW6HV1IW5JX9K\ XCLYGMYJNZNO_QP`UQaYRa`SadT`gU_kU_hUZkUXnMWqIVtLUw\ OTvRSvURvXQv_PvbOveQwhTwjWwlZwkawhcwebwbaw_`wX_wUZ\ xWYvXXtYWrZVp_Un`TlaSkcRidQgePefOcgNahP_hIghMbiQZg\ UUfYQeaLdeHciCbm8alA`kC_kDZjFYiHXiI_hKdgMhgNlfPpeR\ teSp`PlXMhSJdOG`JDXFAVOBTXBReBPnBOz6NwBNuGNrKMpPMm\ TMkYLhaLff8kcLdgXZXiTIjN4kU6a`7Tf9JmA9tC0zD4xF8vGC\ tIGrJKpKOnMSlNWjO_hQcfRgdSkbUi`ViWZhZWi`UjbSkePlgN\ niLplIrnGwpEzrCzlFrfIm`LhWNcQQZKTUEWP4TK9YYEbkJgxO\ ksRhoTfkWdgYbb``ZbZVeXRgVNiTQjSSkSUkSXlSZmR`mRcnRe\ oRgpReqOerMfsKgtIhuGivEjwCkxAly8mz6nz4oz2pz8qzDrzI\ szNtzSuzXvzZwz`xzayzbzzczzdzzezzfzzgzzhzzizzjzzkzz\ lzzmzzkzzjzzizzgzzfzzezzizzmzzpzzozzozzozzozzozzoz\ zozzozznzznzznzznzznzznzznzzszzpzznzzlzzjzzgzzezzc\ zzazzZzzXzzVzzTzzQzzOzzMzzIzzKzzMzzNzzPzzQzzSzzUzz\ VzzXzzfzzizzkzzmzzpzzrzzt } frm:SliceJulibrot2 {; 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=sqr(z)+c |z|<=9 } ; END PARAMETER FILE================================== ;