; Date: Wed, 18 Jul 2012 20:59:10 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 18-07-12 (The Oblate View [No Rating]) ; Id: <1.5.4.16.20120718210217.37ff11ec@earthlink.net> ; --------- ; ; FOTD -- July 18, 2012 (No Rating) ; ; Fractal visionaries and enthusiasts: ; ; We're back! Let the banners wave and the trumpets blare. And ; now that this little announcement is out of the way, let's get ; to the fractal. ; ; There are Mandelbrot images and there are Julia images. And the ; two varieties look pretty much alike. There are also Oblate, ; Rectangular, Parabolic and Elliptic images, and these also look ; much like the Mandelbrot and Julia images. ; ; Today's scene returns us to the infinitely-divided main stem of ; the (-Z)^(2.000001)+C Mandeloid in the area just east of the ; largest minibrot. But this time we rotate our view 90 degrees ; around the imag(C) axis, to an orientation I named the Oblate, ; which is defined by the imag(C) and real(Z) axes. ; ; What we find here is more symmetrical railroad tracks. There is ; no possibility of dredging up a minibrot however, for in this ; orientation the Mandelbrot stuff, including the minibrots, has ; been stretched to infinity in the real(Z) direction. ; ; But the lower-iteration stuff remains, forming itself into new ; and sometimes even more interesting patterns. In today's image ; we find a nearly symmetrical arrangement of rails surrounding a ; prominent star-like object at the center of the frame. ; ; The name "The Oblate View" refers to the direction in which we ; slice the scene. I could not give the image a rating, since the ; same color palette has been used so often in recent FOTD's. ; ; The calculation time of one minute will pass swiftly for those ; who choose to calculate. ; ; The ultimate in peace and relaxation may be found on the ; official FOTD web site at: ; ; ; ; where the finished image is posted. ; ; A high-definition rendering plus other goodies too numerous to ; mention is online at: ; ; ; ; The thousands of FOTD back images may be accessed at: ; ; ; ; The heat was on here at Fractal Central today. The temperature ; of 97F 36C was equalled by the humidity, causing the fractal ; cats to take to the coolest places they could find and stretch ; out to their full lengths. The humans, still recovering from a ; few days of rest and relaxation, took it equally easy. ; ; Until whenever, take care, and if we decide to seriously fight ; climate change, the battle will be a long and very expensive ; one, with great sacrifices required. Who, I wonder, will bear ; the brunt of the battle cost. I doubt it will be the wealthy ; one-percent. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= The_Oblate_View { ; Time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 center-mag=+0.000000922\ 11583071/+0.00000054371745837/4.229397e+012/1/\ -91.45/0 params=0/0/90/0/-1.7453288798516/0/-1.745\ 3288798516/0/2.000001/0 float=y maxiter=1500 inside=0 logmap=158 periodicity=6 colors=00000A00B00E10H25K3AN4FQ5KT6PW7U_8Yc9agAekB\ ioClsAotDpzGmyJitMeoLaiKYcKUYKQSKMMFIHAEC074042A92\ FI2KT2N`AP`JYXSfT`dVQbWFaY4kgLuqarXPpDCfCJXAQO9X0u\ c3bZ5KUCKd9BX842P9Of5jz_rgDcfTfZMaEFYA8UuI44yq5jj6\ Wc7HXBFrABj98c85XVx7PiCJVHDGM8S27L87FE78KEc_zvZZUU\ f3HAIE8AK5lW6`U6PT7DRO8TJ6SF5RB3Qt18A5G94K83N2`55J\ G6U87GHXB2K69Y_SRRRKJRDAQ0dWFUXCKU9BSbb9SQFHELDjDz\ tC`ZHMIMJCDJCDI87H52I92IC3JF4JI5JM6KP7KS8KV9NYEP`I\ ScMUfQX`UZlYaoacredqbep`fyZgoXhoVinSjnQjyOklMllKmk\ HnkFojDpjBqi9qi7py3r2rp6ooAlnEimIflMdkQajUZiYWhaUg\ eRfiOemLdpJeiLfcNgcPhcRicTjcUkcRkcOkcMkcJkcHkcElmB\ lm9lm6lm4lz2lz2nz2pz2qz2sz2tz2vz2wz2yz2zz2sz2lz6ez\ CZzITzNVzOWzPXzPYzQZzQ_zR`zRazSbzSczTdzTbzPazL_zHZ\ zDYz9Jz24z25z25z25z25z25z25z25z2Cz2Iz8PzEVzKfzKqzK\ DzFCzICzKCzMCzOBzRBzTBzVBzXCzTDzQEzMFzJGzFFzCKz8Pz\ 5Uz2Zz2cz2hz2mz9rzGwzNzzZ } frm:SliceJulibrot5 {; 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 ;