; Date: Fri, 27 Feb 2004 12:30:12 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 27-02-04 (Iterative Currents [6]) ; Id: <1.5.4.16.20040227123257.2a7fbf62@pop.mindspring.com> ; --------- ; ; FOTD -- February 27, 2004 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; While working with today's image, I discovered that there is a ; problem with the type=mandel formula in Fractint. As a result, ; I needed to write a new version of the SliceJulibrot formula to ; calculate today's image, which is a different view of yester- ; day's type=mandel image. This new version, SliceJulibrot3, is ; included in the parameter section at the bottom of this letter. ; The new version calculates the square root of the number entered ; as (p4), or the starting point of Z. I needed the new version ; because the high-speed type=mandel formula in Fractint calcu- ; lates the square root of the complex number that is entered as ; the starting-point parameter rather than the entered number ; itself. (Actually, I already knew this, but for some reason it ; did not come to mind.) ; ; As mentioned above, today's image is a different view of the ; spectral bud that was illustrated in yesterday's FOTD. But the ; angle of today's view is close to 90 degrees from that of yester- ; day's view, and as a result, the spectral bud has been stretched ; to a few near-straight features in the background. The fore- ; ground spiral however has really come to life, and has changed ; into a sinuous series of curves, which no longer form a perfect ; spiral, but are rather pleasant to look at anyway. ; ; These swirling features inspired the name "Iterative Currents". ; While studying the image, I got the distinct impression of ; convection currents swirling on the surface of a newly-poured ; cup of hot coffee. My original impulse was to rate the image at ; a 7, but then I realized that some people do not drink coffee, ; and dropped the rating to a 6. Combined with the render time of ; just under 16 minutes, this gives an overall value of 38. ; ; With more work, the coloring could have been better, but I spent ; so much time trying to find why the first formula didn't work ; that I had too little time to devote to coloring the image. ; ; The finished image is available on Paul's FOTD web site at: ; ; ; ; A lack of sun and a temperature of 41F 5C here at Fractal ; Central on Thursday kept the cats' outdoor time limited to less ; than one hour, but, perhaps due to their increasing age, this ; was all the duo needed to satisfy their ever-shrinking urge for ; adventure. Today is starting sunny and milder. This promises ; good things for the duo. ; ; For me, the work is still heavy. But it is not heavy enough to ; keep me from fractal land, and whatever I find there will become ; tomorrow's FOTD. Until then, take care, and keep your fractals ; in alphabetical order. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Iterative_Currents { ; time=0:15:54.50--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=SliceJulibrot3 passes=1 center-mag=-0.00263587632006605/+0.004641457407512\ 89/79.37667/23.269/0/-32.6192430711928907 params=82.7/-41.3/-91.4/74.8/-0.23020724/0.6448031\ 5/0.3991/-0.6312 float=y maxiter=40000 inside=0 logmap=464 periodicity=10 colors=000pzMpyMpxNpxNpxOpxOpxOpxPpxPpxQpxQpxRpwRp\ wSpwSpwTpwTpwUpwUpwUpwUpwUpvUpvUpvUpvUpvUpvUpvUpvU\ pvUpvUpuUpuUpuUpuUpuUpuUpuUpuUpuUpuUptUptUptUptUpt\ UotUotUotUotUntUnsUnsUmsUmsUmsUlsUlsUlsUksUksUksUj\ sUjrUjrUirUirUirUhrUhrUhrUhrUgrUgrUgrUfqUfqUfqUeqU\ eqUeqUeqTdqTdqSdqSdqRdqRdpQdpQdpPdpPdpOdpOdpNcpNcp\ McpMcpLcpLcoKcoKcoKcnJcnJcnJcnJcmIcmIcmIcmIblHblHb\ lHblHakGakGakGakG`jF`jF`jF`jF_iE_iE_iE_iEZhDZhDZhD\ ZhDYgCYgCYgCYgCXfBXfBXfBXfBWeAWeAWeAWeAVc9Vb9Ua9U`\ 9TZ8TZ8SZ8SZ8SZ7SZ7S_7T_7T_6U_6U`6Tb5Uc6Ud7Vd8Ve9V\ cAWbBWaCW_DXZEXYFYYHYYKYXNZXQZWTZWW_WZ_Va`Vd`Ug`Uj\ aUnaTqaTtbSwbSzcSzcRzcRzdRzdTzdVzeXzeZzf`zfbzfdzgf\ zghzgjzhkzhkzilzimzinzjozjpzjqzkrzkrzlrzlrzlrzmrzm\ rzmrznrznrzmrznrznrznrznrznrznrznrznrznrznrznrznrz\ nrznrzorzorzorzorzorzorzorzorzorzorzorzorzorzorzpr\ zprzprzprzprzprzprzprzprz } frm:SliceJulibrot3 {; 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)+sqrt(p4): z=sqr(z)+c |z|<=9 } ; END PARAMETER FILE================================== ;