; Date: Sun, 17 Jul 2011 18:26:34 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 17-07-11 (7-armed Heptafractal [7.5]) ; Id: <1.5.4.16.20110717182641.14e7b37c@pop.earthlink.net> ; --------- ; ; FOTD -- July 17, 2011 (Rating 7.5) ; ; Fractal visionaries and enthusiasts: ; ; Today's image lies in an everyday Mandelbrot set that has taken ; on order-7 characteristics in its deeper depths. To find the ; scene we start at the period-4 bud on the northeast shore line ; of the parent M-set then go to the largest minibrot on this ; bud's filament network. This minibrot is still a reasonably ; normal one, but when we check the minibrot on this minibrot's ; main stem, we find that it is well along the way of morphing ; into an order-7 minibrot. ; ; Zooming in even farther, we check the area where the larger ; minibrot's main stem joins the smaller morphing minibrot, an ; area we might call the East Valley area of the smaller minibrot. ; We notice that the main stem branches into a series of shallow ; spirals before it enters the actual bay. We check one of these ; spirals. By the time we have gone deep enough to find an even ; smaller minibrot in the spiral, the minibrots have all totally ; morphed into order-7 shapes. Today's image shows one of these ; order-7 minibrots. The curved arms radiating from the minibrot ; indicate that the scene lies on a shallow spiral network. ; ; But all this confusing verbal description totally fails to give ; a visual impression of today's image. To enjoy the image, it ; will be necessary to run the included parameter file, which runs ; in 5-2/3 minutes, or to surf to the FOTD web site at: ; ; ; ; to view the finished image there. ; ; A high-definition version is posted at: ; ; ; ; The original classic web site may be accessed at: ; ; ; ; The name "7-armed Heptafractal" was of my own invention. Anyone ; who knows exactly what it means also knows where the Tropic of ; Sir Galahad is located and what the song 'Stairway to Heaven' is ; all about. ; ; The rating of 7-1/2 indicates that I consider the image a little ; better than normal, but nothing to write home about. ; ; Heat returned to Fractal Central on July 16 as the temperature ; reached 88F 31C. The day was saved however by the humidity, ; which remained on the dry side all day. The fractal cats passed ; the day lounging on the living room floor, avoiding the sunlight ; that occasionally filtered through the trees. At post time on ; the 17th, the weather was looking like a repeat of the 16th. ; ; The day of the humans on the 16th was acceptable, as are most ; days here at FC. The next FOTD will be posted in 24 hours, but ; hopefully, by the end of the week, we'll have the FOTD back on ; its traditional every-day schedule. Until next time, take care ; and have fun dreaming of trips into interstellar space. You're ; surely never getting there in person. ; ; But isn't it curious that we have evolved the ability to dream ; dreams and feel desires that have no chance of being realized. ; One would wonder what the evolutionary advantage of such a ; frustrating ability might be. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= 7armedHeptafractal { ; time=0:05:38.74-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip inside=0 center-mag=+0.355833037442585/+0.6498625194640629/\ 5e+012/1/-25/0 params=7/1000000000000.0/0/0 float=y maxiter=3200 logmap=-714 mathtolerance=0.05/1 colors=000SAUTBUUBUUBUUBUUBUUBUUBUUBUUCUUCUUCUUCVU\ DWUDXUDVUEUUEUUEUUFUUFUUFTUGTUGTUHTUHSUISUISUJRVJR\ VJRVKSVKTVKTUKUUKVUKVUKWUKXSK_UMXWOVYQT_SQ`UObWMdY\ Jf_HgaFicCkeKkgPkiUkkZkmckohkqlkomkmnkkokipkgqkerk\ cskatl_ulYvlWwmUxmSymQzjPwhOtfOqdNnaNk_LiYKhWIfTHd\ RFbPE`AEAADAADABCA9CA6BA6BA4AA5AF9BJCBHFBGICFLDEOF\ ERGDUHDXHB_H9cI8hI6mI4rI3vI1zI0vH3rG6mF8hEBfDDdCGb\ BJ`ALc9OX8Qc7TT6Wc5YP4`c5cN4bc4bP4bc4bQ4bc4bS4bc4b\ U4bm3aV3am3aX3am3aY3am3a_3am3a`3am6`Y8`mA`WC`mE_UH\ _zJ_SL_zNZQPZzSZOUZzWYMYYz_YKbYzdXIfXzhXGjXziYJiYz\ iYMiYziYOiYziYRjYzkYTlYzmYWnYzoYZqYztY`wYzzWzzY_z_\ zzaWzczzeRzgzziLzjzzjPzjzzjSzjzzjWzzzzjYzzzzfzzzzz\ czzzzz_zzzzzXzzzzzTzzzzzQzzzzzMzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzEzzAzzBzzBzzAzzAzzAzzCzzEzzGzzIzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;