; Date: Tue, 13 Jul 2010 22:12:28 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 14-07-10 (Whole New World [8]) ; ; Id: <1.5.4.16.20100713221222.13775fd4@pop.mindspring.com> ; --------- ; ; FOTD -- July 14, 2010 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; There are minibrots and there are more minibrots, and then there ; are things like the minibrot in today's image. I'm not sure if ; it's a minibrot or not. If either or both real(p3) and real(p4) ; are changed to zero, the image becomes just another scene not ; too deep in Seahorse Valley of the Mandelbrot set, but when ; real(p3) is set to 0.77 and real(p4) is set to the reciprocal of ; one-googol, the minibrot fills with totally new stuff, which can ; be zoomed into and explored, and therefore is not an artifact. ; ; The formula draws the hypercomplex Mandelbrot set, and it does ; so quite well. But how is it possible that a value as infinites- ; imal as the 10^-100 of real(p4) can make such a difference in ; the image? ; ; Regardless of how the image came about however, a whole new ; world lies inside the minibrot, waiting to be explored. I'll do ; a little exploration in tomorrow's FOTD, but I really want to ; get that FOTD web-site logo finished. ; ; The rating of an 8 is based on the mathematical interest. The ; artistic value of the image is everyday average. The calcula- ; tion time of 1-1/4 minutes will cause no pain to any fractal ; fanatic. ; ; The image is also available on the FOTD web site at: ; ; ; ; where if all goes well, the FOTD logo will soon be seen in its ; full glory! ; ; Nondescript weather prevailed here at Fractal Central on ; Tuesday. This means partly cloudy skies and a temperature of a ; humid 84F 29C. The fractal cats ignored the outside conditions ; and clung to the cool air most of the day. In my department the ; work was busy, but thanks to FL, it was finished without a ; hitch. Unfortunately however, due to the rush, the FOTD web ; site logo remains in the rudimentary stage. ; ; The next FOTD will be posted in 24 hours. Until then, take ; care, and I hear that Australia recently recorded the lowest ; temperature in that nation's history. This could mean that all ; the fuss about global warming has been a false alarm, but more ; likely, we're confusing weather with climate. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Whole_New_World { ;_time=0:01:16.34-SF5_on_P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-0.7583459371/+0.0768359714/28534.27/1/\ 34/0 params=0/0/0/0/0.77/0/1e-100/0 float=y maxiter=875 inside=0 logmap=-109 periodicity=0 colors=000OJiOJkOJlOJnOJoOJmOJkPJjQJhRJfSJeTJcUJaV\ J`XJZZJX`JWbJUdJSfJRhJPjJNkJMjLOiNPhPRfRSeTUdVVbXW\ aZY``ZZb`YcaXecVgdUieTkgRmhQojPqkNsmMtnLuoJslIqiHo\ fGlcFj`EhYHeXKbWM_VPXURTTURSWPRZOQ`OQbOQdPQfQQgRQi\ SQkTQmVQnWQpXQrYQtZQu_Qt`Tt`WsaZsaasbcrbfrciqclqdo\ qdqpeppfpogpohpoipnjpnkpnkpmlpmmplnploplppkqpkrpkr\ pjspjtpiupivpiwphxphyphypeuncrlaoj_lhXifVfdTccR`aO\ Y_MVYKRWIOUFLS10HDIRBFP9CN69L46J23HCUNBRMAPL9NL8KK\ 7IK6GJ5DJ4BI39I26H14H02G2nE1kF1hF1eF1cF1`F1YF1WF1T\ F1QF0OG0LG0IG0GG0DG0AG08G05G02G3g92bA2ZB2UC1QC1MD1\ HE0DE08F04GP`ZNYXMWWKUVJSUHQTGNSELRDJQBHOAFN8DM7AL\ 58K46J24I12HLjJKhIJfIIdIHbIG`IFZIEXIEVIDTHCRHBPHAN\ H9LH8JH7HH7FH6DG5BG49G37G25G13G01GIBWGAUF9TD8SC7QA\ 6P95O74M63L42K31I10HzzBvzCrcCzmChPCcODZMDULDPJDKIE\ AGE0FENzHOzIOzJPzKznMzmNzlOzjczihzgmzfrzdvzjzzmzzm\ zzmzzrzzvzzzzzzzzzzzzzzzz } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } ; END PARAMETER FILE========================================= ; ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;