; Date: Fri, 01 Aug 2008 21:30:54 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 02-08-08 (The Mystic Star [?]) ; ; Id: <1.5.4.16.20080801213129.2b3f6cde@pop.mindspring.com> ; --------- ; ; FOTD -- August 02, 2008 (Rating ?) ; ; Fractal visionaries and enthusiasts: ; ; NEW FORMULA ALERT! ; ; Discard the formula that came with yesterday's FOTD, and ; substitute today's formula. Yesterday's formula has a small ; error, which I found soon after posting the FOTD. ; ; While working with yesterday's formula, I noticed that I was ; constantly getting two extra lobes on the elements. This is ; because I had forgotten to subtract 2 from the number entered as ; real(p5). This oversight explains why the elements in yester- ; day's image had 7 lobes instead of 5. But today's formula, ; which I am pretty sure is the final version, sets everything ; right. ; ; As an example, the value of real(p5) in today's formula is 5, ; and the image is filled with five-sided elements, indicating ; that all is once again well in fractal land. ; ; Today's image is a Julia set of a small valley at the outer edge ; of the third bud out the negative X-axis of its parent fractal, ; which resembles a moth-eaten Mandelbrot set. I did not rate it ; because I'm still not familiar with the potential of this latest ; formula. ; ; I named the image "The Mystic Star". Fractals are at least as ; mysterious as anything traditional mystics have been telling us. ; ; I wonder what a tiny rotation away from the Julia orientation ; would do to today's image. Perhaps we'll find out in tomorrow's ; FOTD. ; ; The calculation time of 1-1/2 minutes may make the trip to the ; FOTD web site at: ; ; ; ; un-necessary. But the trip is lots of fun, so if running para- ; meter files is not your glass of orange juice, don't hesitate to ; dash out to the web site, where the finished image is posted for ; instant viewing pleasure. ; ; We certainly did not deserve the perfect weather that prevailed ; here at Fractal Central on Friday. After all, it's supposed to ; be midsummer, when we go around wiping away the perspiration or ; hiding within our air-cooled cocoons. Today's blue skies, puffy ; cumulus clouds, low humidity, and temperature of 86F 30C were ; unexpected but fully welcomed by human and cats alike. With not ; much work to do, this human worked on a fractal formula, while ; the fractal cats worked on trying to get an extra treat. ; ; The next FOTD will appear in 24 hours. Until then, take care, ; and if the mysteries of mysticism are not mysterious enough, ; look to modern science for some real mysteries. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= The_Mystic_Star { ; time=0:01:28.15-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideJulibrot passes=1 center-mag=0/0/3.963356/1/-90/0 params=90/90/90/90\ /-5.4262/0/0/0/5/4 float=y maxiter=1600 inside=0 logmap=11 symmetry=none periodicity=10 colors=000UGXUIXUKXUMXUOWUQWUSWUUWUWVUYVU`VUbVUdUU\ fUUhUUjUUlTUnTUpTUrTVxRUtTUqVUmXUjZUf`UcbU`dSaeRbe\ PceOdeMdeLeeJfeIgeHgeFhfEifCjfBkf9kf8lf6mf5nf4nf6k\ d8icAgbBe`Db_F`ZGZXHXWJUVKSTLQSMOROMPPJOQHNRFLTDKV\ AJW8HY6GZ4FZ2E_5G_8I_AKaDLbGNdIPeLRfOShQUiTWkWYmYZ\ m``ncbsdenecjebfeabe`Zf_VfZQfXMfWIgVEgUAgT4eQ6gS8h\ UAjWBkXDmZFn`GpaIqcKseLtfNvhPwjQxkRvjSuiSthTsgTrfU\ qeUpdVodVmcWlbWkaXj`Yi_YhZZgYZfY_dX_cW`bV`aUa`Ta_S\ bZRbYRYrjakfeeciZ_mTXqMTuGQxANdRVeTWfUWfVWgWWgXWhY\ Wh_Wi`WiaWjbXkcXkdXlfXlgXmhXmiXnjXzxhnkXc_MTOBxuOv\ tNusMsrMrrLpqLopKmpKloJjnJrnIzmHzlHzkGzkGzjFziFziE\ zhEzgDmiCcgDUfETeFSdzoczQaHP`IO_JNZKMYLLXLKVMJUNIT\ OHSPGRQFPQEORDNSCMTBLUCJTBKUBLVBMWAMXANXAOYAPZ9P_9\ Q`9R`9Sa8Sb8Tc8Uc8Vd7Ve7Wf7Xg7Yg6Yh6Zi6_j6_jB`hGaf\ LbeQccVdaZd`V`bRYdOUfKRgHNiDKk77tAHlCQeEZZJdnGgST`\ OdUKoNGpNHRorSelTWgUMbUDY } frm:DivideJulibrot {; draws slices of DivideBrot Julibrots 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), aa=real(p5)-2, bb=imag(p5)+0.00000000000000000001, 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=sqr(z)/(z^(-aa)+bb)+c |z|< 1000000 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint