; Date: Fri, 25 Jul 2003 09:04:19 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 25-07-03 (Blazing Rectangle [6]) ; Id: <1.5.4.16.20030725090425.2b278006@pop.mindspring.com> ; --------- ; ; FOTD -- July 25, 2003 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; After discovering that the fourth spatial dimension was in my ; back pocket, I went searching. Maybe I searched in the wrong ; pair of pants, but I suspect that the extra dimension slipped ; off into hyperspace while I was not looking, and has escaped for ; good. What a disappointment -- having a visualization of the ; fourth dimension so close and then losing it. I guess I'll ; never see a hypersphere in the condition of double rotation, or ; a pseudosphere in its infinite entirety. ; ; Today's image appears to be rotating. It is a slightly enlarged ; and distorted view of a small part of yesterday's image, on ; which I have used a more flexible Fractint generating formula so ; that I would have more angles to examine. ; ; The angle of today's slice is once again very close to, but not ; exactly, the Julia direction. That slight rotation explains the ; "Blazing Rectangle" name. The feature in the center of today's ; image has a roughly rectangular shape, but it is not rectangular ; enough to justify the word 'rectangle'. Where then is the ; rectangle? ; ; The rectangle is actually very close, but it is hiding. To see ; the near-perfect rectangle, change both parts of the p1 and the ; p2 parameters to exactly 0.5 and re-render the image. It takes ; only a minute or two. Now the rectangle is visible, revealed in ; all its near-perfect glory at the center of the frame. ; ; Actually, I easily might have used the pure Julia version of ; today's scene as the FOTD of the day, but the distorted version ; has more action, and the pure Julia version doesn't appear to be ; blazing. ; ; I rated the image at a 6, which equals a bit above average. ; After searching carefully, I could find little that has not been ; seen before. (Originality in doing old things rates high with ; me.) The render time of 2 minutes is unusually short, due ; mostly to the low magnitude of only 44. ; ; Those who download their FOTD images will find today's posted as ; usual to Paul's web site at: ; ; ; ; and Scott's site at: ; ; ; ; A perfect day on Thursday, with a temperature of 81F 27C, ; produced perfect cats. Tippy was a bit too perfect when he ; viciously attacked my ankle like he used to do long ago when he ; was still a kitten and wanted to be played with. To see if he ; was feeling playful, I took the feather on a string from its ; shelf, where it had rested untouched for several years, and to ; my surprise, Tippy actually leaped around chasing it. Thomas ; watched the activity with interest, but weighing over 17 pounds, ; declined to participate. At the end of the day, both Tippy and ; Thomas were exhausted, and needed no additional treat before ; settling down for the night. ; ; Today looks like it will be a repeat. I'll make a full report ; in tomorrow's FOTD, which will appear in 24 or so hours. Until ; then, take care, and what do you call someone who wastes his ; time talking about stuff he does not believe in? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Blazing_Rectangle { ; time=0:02:19.51--SF5 on a P200 reset=2002 type=formula formulafile=julibrot.frm formulaname=SliceJB-new center-mag=-0.0021281/-0.1\ 47743/44.02148/1/140/5.12714870559705105e-014 params=0.5013/0.5007/0.5016/0.5012/2.003/0/-1.7435\ /0/0.00019/0.07388 float=y maxiter=2000 passes=1 inside=bof61 logmap=34 periodicity=10 colors=000zFzzFzzFzyFzxFzvFzuFzsFzrFzpFzoFzmFzlFzj\ FziFzgFzdFzaFz_FyXFxTFvQFuOFsLFrIFpFFoCFm9Fl6Fi3Ff\ 0Fc0F`0FY0FV0FS0DP0CM4AJC9IJDCQJMXOGcSCjY6ra1yf0zj\ 0zl0zm0zm0zo0zp0yp0xr0xs0vs0vu0uv0uv0sx0ry0ry0pz0p\ z1oz1mz3mz3lz3lz4jz4jz4gz9dxDasG_oLXjOTfSQaVOY_MTa\ JOfGJjDFmAAr76u41y10z00z00z10z40z70zA0xD0uG0rJ0oM0\ lP0iS1fV3cY3``4Yc6Vf7Si9PlAMoALpGPrMSsSVuY_vcaxidy\ ogzulzzozzrzzuuzrjzoazlSziIzf9xc0v`0u_0xa9ycJzdSzf\ `zgjziszjzzlyzjvziuygrvgosfmpdjmdgjcfgacd````_Y_XV\ YTSYSPXPMVMJTLGTIDSFAQD7QTJLgVGxfCzp7zsCzuFyvJuxMp\ yQmzTizXdz``zcXzgSzjPzmOzoMzpLzrJxsIuuGsvFpxDmyCjz\ Agz9dz7cz6`z4Yz3Vz1Sz0Qz3Oz4Mz6Jz9IvAGsCDpDClG9iI7\ fJ6aL3_O1XP0SQ0PS0MQ0OP0OM0PGSOCPJ9MG6JD1G90D60A30\ 7004001003334CA6MJ7VS9d_AmgCxoCzmAzl9uj7oi6ig4cf4_\ d3Tc1Oa0I`0C`07_1F_3M_4S_7_xoMzmPzjQziTzgXzf_zd`za\ _z_YxXXuTXpQVmPTiMTfJScGQ } frm:SliceJB-new {; by John R. H. Goering, July 1999 pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1), b=pi*imag(p1), g=pi*real(p2), d=pi*imag(p2), 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)+(p4), z=r+flip(s)+(p5): z=z^(p3)+c |z|<=9 } ; END PARAMETER FILE================================== ;