; Date: Sat, 15 Oct 2011 22:25:30 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 15-10-11 (The Big Surprise [?]) ; Id: <1.5.4.16.20111015222532.145fd068@pop.earthlink.net> ; --------- ; ; FOTD -- October 15, 2011 (Rating ?) ; ; Fractal visionaries and enthusiasts: ; ; Rarely does a parent fractal become Fractal of the Day, but ; today is the second consecutive day on which a parent fractal ; has been featured. ; ; In yesterday's image we saw that the (-Z)^(1.05)+C Julibrot ; apparently holds no interesting semi-chaos, at least not in the ; area of Seahorse Valley. In today's image we find that first ; impressions are sometimes wrong. ; ; Today, we check the hump that passes for East Valley in the ; Mandelbrot aspect of the Julibrot. We check it at an angle ; double rotated 37.5 degrees toward the Julia direction, and what ; we find is total chaos. While all the edges in yesterday's ; image were smooth, today's image shows nothing but chaos in its ; eastern parts. To add to the interest, this chaos consists of ; discontinuities, which vary widely in character in different ; parts of the image, yet have a similar theme in restricted areas. ; ; Such a mixed-up Julibrot surely has many additional curious ; slices in this East Valley area. I'll be checking other slices ; over the next few days, and I would not be surprised if some ; slices achieved FOTD image status. ; ; The name "The Big Surprise" expresses my feelings when I checked ; the 37.5,37.5 angle of today's slice through 'east hump'. The ; rating of a question mark shows my indecision. The mathematical ; interest is certainly there, and would rate about an 8, but take ; this math interest away and the artistic value falls short of ; FOTD reference standard. ; ; The redeeming feature is the super-fast calculation time of 50 ; seconds, which will give no one a reason to regret the wasted ; time if the image falls flat with them. ; ; To view the image without the bother of calculating it, visit ; the FOTD web site at: ; ; ; ; To see the image in high-definition, visit: ; ; ; ; To see all the images since April 1997, go to: ; ; ; ; Conditions were windy here at Fractal Central today. The gusts ; near 50mph, 80kph kept the leaves swirling. Otherwise the ; partly cloudy skies and temperature of 64F 18C were harmless. ; The fractal cats were also pretty harmless, sleeping as they did ; through a good part of the afternoon. ; ; FL and I stopped by a local 'occupy' demonstration around noon. ; Somehow I found myself holding a we're-not-going-to-take-it-any- ; longer sign and getting honked at by passing cars. Luckily, no ; harm was done to my middle-of-the-road political reputation, ; since all sides apparently agree on the same problem, if not the ; solution. We then spent the rest of the day on a short ; antiquing expedition. The next FOTD will be posted in 24 hours. ; Until then, take care, and when the time is right, the answers ; will become obvious. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= The_Big_Surprise { ; time=0:00:50.15-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 center-mag=1.07545/0/\ 0.3427852 params=37.5/0/37.5/0/1.1513/0/0/0/1.05/0 float=y maxiter=15000 inside=0 logmap=yes symmetry=xaxis periodicity=9 colors=000blYcmXdnXdoWeqWfrVfsUgtUhvThuSixSjwRjzRh\ vQgwQfuQetPdtPcqPbrOaoO`oO_lNZmNXiNWjMVfMUgMTdLSdL\ RaLQbKP`KO_KNZJLXJKWJJUIITIHSIGQHFPHEOHDNGCLG8NHBL\ GDNGGNGIPGLSGNUGQXGSZGU`GT_FTZFTYFTYFTXETWETVESVES\ UESTDSTDSSDSRDSQDRQCRPCROCRNCRNCRMBRLBRLBQKBQJBQIA\ QIAQHAQGAQFAPF9PE9PD9PD9PC9PB8PA8OA8O98O88O77O77O6\ 7O57O57P68Q69R7AS7BS8CT8DU8DV9EW9FWAGXAHYBIZBJ_BJ_\ CK`CLaDMbDNcEOcEPdEPeFQfFRgGSgGThHUiHVjHVkIWkIYlJ_\ mIanGcoEeqCgrAis8ku6mv4ox2qz0sy1ux2ww2ww3ww3ww4ww4\ ww5ww5ww6ww6ww7uw8sw8qw9ow9mwAkwAiwBgwBewCewCewDew\ EfwEgwFgwFhwGhwGiwHiwHjwIkwIkwJlwKluKmsLmqLnoMomMo\ mNpmNpmOqmOqmPrmOsmPrmPqmPpmQomQomQnmRmmRlmRlmSkmS\ jmSimTimThmTgmUfmUfmUemVdmVcmWczYaz_`za_zcZzeXzgWz\ iVzkUzmTzoRzqQzsPzuOzwMzxLzzKzzJzzIzzGzzFzzEzzDzzB\ zzAzz9zz8zz7zz5zz4zz3zz2zz1zz2zz2zzfzzezzezzdzzczz\ czzbzzazzazz`zz`zz_zzZzzZ } 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 ;