; Date: Sun, 24 Sep 2006 02:03:32 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 24-09-06 (Forever Rectangular [Not Rated]) ; Id: <1.5.4.16.20060924020438.38971220@pop.mindspring.com> ; --------- ; ; FOTD -- September 24, 2006 (Not Rated) ; ; Fractal visionaries and enthusiasts: ; ; There are six mutually perpendicular planes through every point ; of the four-dimensional Z^(2.003)+C Julibrot. The strange ; rectangle that has appeared in the recent FOTD's apparently ; exists only in the Julia plane, but I wondered how the rectan- ; gle, or the area in which it lies, would appears in the other ; five planes. ; ; Today's image is a slice through the vicinity of the rectangle ; in a direction rotated 10 degrees from the Oblate orientation ; toward the Rectangular orientation. Surprisingly, the rectangle ; still appears quite clearly at the center of the image. ; ; The rectangle is obvious, but its surroundings have undergone a ; dramatic change. Instead of the converging tree-like features, ; we have near total chaos -- an image that cannot be described ; and must be seen to be appreciated. ; ; I named today's image "Forever Rectangle". It appears that the ; rectangle will remain visible regardless of the direction from ; which it is viewed. I gave the picture no rating. If I had ; rated it, a score of 6 would have been appropriate. ; ; The render time of under 11 minutes is slightly slow. But when ; the image is viewed on the FOTD web site, rendering is not an ; issue. The web site may be accessed at: ; ; ; ; Early morning rain gave way to a partly cloudy and warm after- ; noon, with a high temperature of 77F 25C. The fractal cats paid ; no notice. They were too busy chasing each other all around the ; place. They did not settle down until treat time arrived in the ; evening. My day was average; tomorrow looks to be a repeat. ; The next FOTD will appear in 24 hours, when I'll see what other ; havoc I can wreak on that Z^2.003 rectangle. Until then, take ; care, and be of sound mind and body, but don't be too strong on ; the sound. You would not want to disturb the neighborhood. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= ForeverRectangular { ; time=0:10:51.64--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot4 passes=1 center-mag=-0.00016211607850631/+0.000876409345622\ 04/1359.729/0.01759/-90/79.5200240071283986 params=10/90/0/90/-1.7435/0/0.00019/0.07388/2.003/\ 0 float=y maxiter=15000 inside=0 periodicity=10 colors=000O8tP1yM1vJ1sG1pD1mA1j71g41d11b83_E4XL5VR\ 6SY7Pc8Nj9KpAIlDGiFFfIEbKD_NCXPBTSAQU9NW7JZ6G`5Dc4\ 9e36h23j10l03j15h17g1Ae1Cd1Eb1G`1J_2LY2NX2PV2ST2US\ 2WQ2YP2ZS4ZV6_Y7_`9`cB`fCaiEalGboHbrJcuLcwMZpJVjHQ\ cFMYDISADL89F65948B8BCBDDEGFIIGLLHONISQKVSLYVMaXNd\ _PgaQkdRnfSqkUrpWstYts_rsaprcnrdlqfjqhhpjfpkdomboo\ `nqZnrXknUhjSfgQccO``MZXKWTHTQFRMDOJBLF9JC7HE9GGBF\ ICEJECLFBNHAOI9QK8SM6UN5VP4XQ3ZS2_T7aXBb_GdcKefPgj\ ThmYjqaktbjrbiqbhpbgnbfmbelbdkcdicchcbgcafc`dc_ccZ\ bcZaZH`U0`_EWeSRkeMpsIlqKioMfnNclP`jQYiSVgTSeVPdWM\ bYJaZOcVTdSYeObfLggIlhEqiBuj8tg7se6rc5ra4q_3pY2oW1\ oU0nT3mT5mT7lT9lSBkSDkSFjSHjRJiRLiRNhRPhRRlMSoHTpR\ GpAOrCUsDZtEduFivGowHtxIyuJyrKyoLylMyiNygOyfLteIpd\ FlcChc2cc9dcFecLfHjkNTe76oSC`gNGiKJkHMmFPoCSqAVk9U\ e8U`8UV7UP6TK6TE5T30P95TEAWJFZPKaUPd_VjZUgZTdYSaYR\ ZALnMOeDpMFhSHaYJUcKNhMFn } frm:SliceJulibrot4 {; draws most 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } ; END PARAMETER FILE========================================= ; ;