; Date: Thu, 22 Jul 2010 23:35:45 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 23-07-10 (Elephant Pieces [No Rating]) ; ; Id: <1.5.4.16.20100722233544.173fce9e@pop.mindspring.com> ; --------- ; ; FOTD -- July 23, 2010 (No Rating) ; ; Fractal visionaries and enthusiasts: ; ; I always have enjoyed elephants. When I was young, they were my ; favorite animals at the circus. Now that I'm no longer young, ; they are my favorite animals in the Mandelbrot set. Of course, ; it doesn't take much to make elephants my favorite animals in ; the M-set, since the only other animals are seahorses, which are ; more of a curiosity. ; ; The Mandelbrot elephants live in the valley on the east side of ; the M-set, which is appropriately named "Elephant Valley", or ; sometimes simply "East Valley". ; ; An infinity of the ponderous pachyderms inhabit the valley, ; every one of them standing guard over its own particular bud. ; But they guard their buds only in the Mandelbrot plane of the ; Julibrot. In the other planes, the elephants forget their buds ; and wander off in different directions, becoming ever more ; distorted the farther they roam. In today's image this distor- ; tion has become quite large. In fact, some elephants are only ; partly there, which is the reason I named the image "Elephant ; Pieces". ; ; Today's image is sliced in the 'Oblate' direction, which is ; determined by the imaginary (y) direction of the Mandelbrot ; planes and the real (x) direction of the Julia planes. The ; slice passes through the East Valley complex of the Julibrot at ; point +0.28 on the X-axis of the M-set, but being centered at ; the point 0.5 on the imaginary Julia axis, it is far from being ; centered on the valley. ; ; I gave the image no rating. After all, how artistic can bits ; and pieces of four-dimensional elephants be? ; ; At this point, I'm suffering 4-D overload, so I recommend ; running the included parameter file and waiting 10 minutes or ; viewing the finished image on the FOTD web site at: ; ; ; ; Near perfect conditions prevailed here at Fractal Central on ; Thursday. The temperature reached a summer-like 86F 30C, the ; humidity was low, and the kodachrome (digitally enhanced) blue ; sky was decorated with puffy white clouds. ; ; The fractal cats must have approved, for they spent an unusually ; long time gazing out the side window, watching the birds fly by. ; My day, as well as FL's day, was quite busy, which is all well ; and good, but I still would like more time for fractals. And ; speaking of fractals, the next one will be posted in 24 hours. ; Until then, take care, and where is the scapegoat? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Elephant_Pieces { ;_time=0:09:58.90-SF5_on_P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 center-mag=+0.51519297/-0.01004759/532/0.01382/\ -0.172917345564469804/-87.8736638009453799 params=0/0/90/0/0.28/0/0/0.5/2/0 float=y maxiter=32767 inside=0 logmap=20 periodicity=6 colors=0008Kt8Ks8Kr8Kq8Kp8Ko8Kn8Km8Kl9JkAIjBHiCGhD\ FgEEfFDeGCdHBcIAbJ9aK8`K8_K7YM6WO5VQ7TSATUDWWGZYJa\ _MdaPgcSjeVmgYpdWp`UpXRpTPpPNpLLpIJpMLqQMrUNsYOtaP\ teQucSvaUw_WxYYxW_wUarScmQehOgcMhZKhUIePHcKG`FGYCF\ WFFTHEQJEOLDLNDJPFKOGKOHLOILNJMNKMNLNMMNMNOMOOLPQM\ QSNRUOSWPUYQW_RYaS_cTadTceSehVejXelZen`epberdetfev\ hexjezlcxmbvmatn`rnZpoYnoXloWjpUhpTfqSdqRbqQ_rPXsO\ VtNStMSuLTvLUvKVwJWxIXxHYyGZzG_zG`yGaxGbxdczeczgcz\ iczkczfczaczXczSczNczLdzMezNfzOgzPhzQizThzWfz_dzbc\ zfcziczmczpcztczrczoczlczjczgczdczbcz_mzXmzVmzSmzP\ mzMmzMmzMmzMmzMmzLmzLmzLmzLmzKmzKmzKzzKzzKzzJzzJzz\ JzzJzzIzzIzzIzzIzzIzzHzzHzzHzzHzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:SliceJulibrot4 {; draws all 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } ; END PARAMETER FILE========================================= ; ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;