; Date: Mon, 19 Dec 2005 01:58:18 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 19-12-05 (Alien Landscape [5]) ; Id: <1.5.4.16.20051219020021.2a7ffb42@pop.mindspring.com> ; --------- ; ; FOTD -- December 19, 2005 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; Today, with the aid of the SliceJulibrot2 formula, we enter ; 4-dimensional hyperspace. Hyperspace is any space of more than ; 3 dimensions. I confine my investigations to 4-dimensional ; hyperspace, which we can come the closest to visualizing with ; our 3-dimensional brains. ; ; The formula draws most slices of the 4-dimensional Z^2+C ; Julibrot figure. Being unable to visualize all possible ; orientations in 4-D hyperspace, I will not claim the formula ; draws every possible orientation, but I have not yet found a ; slice that it cannot draw. ; ; Today's slice is orientated close to the Parabolic direction, ; but rotated 1/3 of the way toward the Elliptic direction. As ; should be evident from the elements that resemble goofy eyes, ; the scene is located in the East Valley area of the Mandelbrot ; set. ; ; There are no 'inside' areas appearing in the image. The area ; that resembles a blue sky with patches of haze is actually ; composed of very high iteration 'outside' stuff made more ; interesting by being rendered with the outside=imag option. ; ; The picture vaguely resembles a scene on an alien planet, which ; is why I named it "Alien Landscape". The rating of a 5 shows ; that I am not thrilled with the result. The render time of ; 5-1/2 minutes is fair enough. Rendering may be totally ; eliminated by downloading the finished image from the FOTD web ; site at: ; ; ; ; The report is that the weather was uneventful at Fractal Central ; while we were away over the week-end. The ice-storm stayed well ; out of our way to the west and south. We found one possible ; home for the new Fractal Central, but it has problems that would ; need to be worked out. My sister reports that the fractal cats ; seemed unconcerned that fractal lady and I were gone for two ; days, though they were concerned that their accustomed tuna, ; might not be served on time. They also demanded that they be ; allowed to check the weather for themselves. The next FOTD will ; likely appear in 24 hours. (I will no longer say certainly.) ; Until then, take care, and not even the appearance of the FOTD ; fractals, is absolutely certain. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Alien_Landscape { ; time=0:05:31.48--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 center-mag=+0.25000501074059570/-0.051641324143515\ 65/4.739839e+008/0.04713/-156.857105609805927/65.4\ 90051767333938 params=30/90/0/0/0/0/0/1 float=y maxiter=500000 inside=0 outside=imag periodicity=10 colors=000jrWirVhrVgrUfrUfrTerTdrScrSbrRbqRaqQ`qQ_\ qPZqPZqOYqOXqNWqNVqMVqMUqLUqLUqKUqKUqKUoJUmJUlIUjI\ UhHUgHUeGUcGUbGT`FTZFSYESWERUDRTDQRCQPCPOCPMBPKBPJ\ APHAPF9PE9PC8PA8P98PB9PDAPFBQHBRJCSLDUNEZPETQFNRGH\ TIBUJ5VKSbSmi_nhVngQogLofGpfBpe6pe2nf6lf9kgCigFghI\ fhLdiOciRajU_jYZk`XkcWlfUliSmlRmoPnrOnuQmsRlqSkoUj\ mVjlWijXhhZgf_gd`fcaeacd_ddYecWfbVhaTi`Rj`Pl_NmZMn\ YKoYIqXGrWEsVDtVBvU9wT7xS5yS4wQ5uP6sO7qM8pL9nKAlIA\ jHBiGCgEDeDEcCFbAG`9GZ8HX6IW5JU4KS2PQ1UP6ZOCcOHhOM\ mNSrNWvN`zMezMezMezLezLezLezLfzKgzKgzKgzJfzJezJdzI\ dzIdzIdzIdzHdzGezFezEfzDfzDfzFgzGgzHgzIhzJhzKhzLhz\ NhzOdvPdrQdmRfhSieTleSjcRiaQg_PfYOdWNcUMaSL`QKZOJY\ MIWKHVIGTGFSEEQCEPAVEbUGaTH`SI_RKZRLYQMXPNWOPVOQUN\ RTMSSLURKVQKWPJXOIZNH_MH`LGaKFcJEdIDeHDfGChFBiEAjD\ AkDCjEDiFFhGGhHIgIJfILeJMeKNdLPcMQbMSbNTaOV`PW_QX_\ QZZR_YSaXTbXUdWVeVVgUWjrW } 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========================================= ; ;