; Date: Thu, 04 Jul 2002 10:05:43 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 04-07-02 (Mandelbrot Network [7]) ; Id: <1.5.4.16.20020704100607.0dc72998@pop.mindspring.com> ; --------- ; FOTD -- July 04, 2002 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Sensible people see a fractal, say ho-hum, and forget about the ; thing. Others, not quite as sensible, discover fractals and are ; surprised at their variety, then experiment with them for maybe ; a month or two, and eventually grow bored and move on to more ; sensible and productive endeavors. Those like myself, who have ; gone beyond the need to act with common sense, become obsessed ; with the endless intricacies and spend years, perhaps a life- ; time, exploring the limitless varieties of the things numbers do. ; ; And like those fractal fans, some fractals make no sense at all. ; (Maybe all fractals make no sense, but that's another story.) ; Today's image is an example of a senseless, illogical and ; thoroughly irrational fractal. For some reason known only to ; who or whatever is in charge of the things numbers do, the ; midget in today's image lies exactly on the shoreline of its ; parent, with its east (bottom) half surrounded by the expected ; outside material, but its west (top) half existing invisibly in ; the potential inside material that forms the upper half of the ; image. ; ; Since invisible things are hard to see, I made the invisible ; visible by coloring the inside with the option, with the ; proximity set to 0.085. The result is one of the more unusual ; midgets in the FOTD series. The real(p3) parameter is the one ; that works the mischief. It is critical, and must be set just ; right to get the half-and-half effect. ; ; I named the image "Mandelbrot Network" because of the delicate ; network-like elements in the top half of the image. Because of ; the unusual nature of the image, I raised the rating one point ; from a 6 to a 7. I suppose it's worth the rating. ; ; The render time of 2 to 3 minutes is quite reasonable for an ; image with so much inside area colored with the option. ; And as always, those who would rather not render may find the ; finished image posted to Paul's web site at: ; ; ; ; and to Scott's site at: ; ; ; ; For the benefit of those who concern themselves with the weather ; in far corners of the earth, the fractal weather Wednesday here ; at Fractal Central, which is located not far from 39,21N 76,32W, ; was hotter than a firecracker, with blazing sun and a tempera- ; ture of 104F 40C. In response, the fractal cats spent the day ; under the air conditioning vent, stretched to near twice their ; normal length. ; ; Today promises to be just as hot if not hotter, but it's the ; Independence Day holiday here in the USA, the day when fireworks ; displays are everywhere, (except where they have been banned ; because of fear of terrorism), and it's supposed to be hot on ; the Fourth of July, as the day is usually called. I might ; wander over to the local fireworks display this evening; or I ; might not. I haven't decided. In either case, I'll have ; another glorious FOTD in two days on July 6. Until then, take ; care, and I'll bet there's snow falling in the New Zealand Alps. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Mandelbrot_Network { ; time=0:02:50.60-SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.523994586278288/0/121.9547/1/90/-1.2\ 3373533611470521e-014 params=1/0.35/-1/0.3/32.175/0 float=y maxiter=500 inside=fmod proximity=0.085 logmap=yes periodicity=10 colors=0008PdAPcCPaEOaGO_INZKNXMMWOMURLSTKRVJPXIOZ\ HM`GKbGJdFHfEGiEEkDDmCBoC9qB8sA6uA5v93x81y92y93x93\ xA4wA4wA5vB6vB6uB7uC7tC8tC9sD9sDArDArEBqECqECpFDpF\ DoFEoGFnGFnGGmHGmHHmHIlIIlIJkIJkJKjJLjJLiKMiKMhKNh\ LOgLOgLPfMPfMQeMReNRdNSdNScOTcOUbOUbPVaPVaPWbOVaPW\ aPWaQWaQXaQXaRXaRYaSY`SY`SY`TZ`TZ`UZ`U_`U_`V_`V`_W\ `_W`_W`_Xa_Xa_Ya_Yb_Yb_ZbZZcZ_cZ_cZ_cZ`dZ`dZadZaeZ\ aeYbeYbfYcfYcfYcfYdgYdgYegYehXehXfhXfiXgiXgiXgiXhj\ XhjXijWikWikWjkWjlWklWklWklWlmWlmVmmVmnVmnVnnVnoVo\ oVooVooVppUppUqpUqqUqqUrqUrrUsrUsrTuqUsrVrrWprXosY\ nsZls_kt`itahtbguceudduecvfavg`vhZwiYwjXwkVxlUxmTx\ kUviUuhUtfUreUqcUpbUo`Um_VlYVkXVjVVhUVgSVfQVdPVcNV\ bMWaKW_JWZHWYGWXEWVDWUBWTAWSAWRAWRAWQAWQBWPBWPBXPB\ XOBXOBXNBXNBXMCXMCYMCYLCYLCYKCYKCYJCYJCYJBXIBXIBXI\ BXIBXHBXHBXHAWHAWHAWGAWGAWGAWGAWGBVHCVIBUJAUKAUKAU\ KAUKAUKAUKAUKAUKAUKAUKAUK } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } ; END PARAMETER FILE================================== ; ;