; Date: Sat, 16 Aug 2003 09:57:25 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 16-08-03 (Ikenaga Tree [5]) ; Id: <1.5.4.16.20030816095743.0d6f4120@pop.mindspring.com> ; --------- ; ; FOTD -- August 16, 2003 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; Today's image takes us back to the mysterious Ikenaga function, ; which was apparently created for the purpose of generating ; Fractint fractals, and then forgotten by its author, who, as far ; has I know, has never been definitely determined. Well, it's ; not exactly the Ikenaga function, since I have made numerous ; changes and additions to it, but whatever it is, it was inspired ; by the IkeNewtMand formula that appears in fractint.frm and was ; written by Ron Barnett, who states in the formula comments that ; it is based on the Ikenaga function. ; ; Several years ago I wrote a series of 12 formulae that I called ; 'MandNewt**.' These formulae are based on this mysterious 'Ike' ; function. Today's image was created with number 6 of the ; series. This series of formulae creates totally unpredictable ; images that consist largely of 'inside' parts, and therefore ; must be rendered with an active inside fill. Today's image uses ; the bof61 fill. ; ; The resemblance to some kind of fantastic tree is striking, and ; inspired the descriptive name, "Ikenaga Tree". The color ; palette, which uses only a few of the 256 registers, is a model ; of getting much from little. The rating of an exceptional 8 is ; fully justified. ; ; The frugal render time of 3 minutes is fast enough for all but ; the busiest fractalists. Of course, the completed GIF image is ; available as always on the internet at: ; ; ; ; and at: ; ; ; ; Another hot, dry, sunny day on Friday here at Fractal Central ; gave the dynamic cats ample time in the yard. The temperature ; reached 93F 34C, but cats are native to northern africa, and can ; easily endure such mild heat. Their day was quite happy. No ; treat was needed. ; ; Today is promising to be a let-down, with clouds and showers ; possible. But with any luck at all, the duo will have another ; satisfactory day. As for me, most of my days are satisfactory, ; which may be because it takes so little to satisfy me. The next ; fractal will be along in 24 hours. Until then, take care, and ; good fractal luck. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Ikenaga_Tree { ; time=0:03:28.39--SF5 on a p200 reset=2002 type=formula formulafile=mandnewt.frm formulaname=MandNewt06 passes=1 center-mag=37.3298\ /-49.3884/0.03536232/1/-30/-2.5056345887009e-014 params=-6.47/-5.23/-1.59/-0.59/1.25/2.08 float=y maxiter=100 inside=bof61 logmap=yes periodicity=0 colors=B00c`d`cgYeiVhlSkoOmpZkZghIog0re2sd4vc7wa8z\ `CzZDzYHzWIzWKwaUaMzYSzTWzOezLczJazJ`zJYwJWpJTkIQh\ IOdILZIIVFHQEDNB00NO`OUeQ`oSexTkzVozYsz`uzcxzizzqz\ zwzzzzzzzzzzyizwVlwJYxBIxFKtIKqLKmOLkSLgVLdYL`aMYd\ MUgMRiMMlOKoOFrOCuO8rY4qe0nm0lu0sk7x`MzP`zDmz0zzDt\ zPmu`hnkaguW`zPVzK`zLdzLizLnzLswLwsLzoMzkMzgMzcMzZ\ MzVMzZIdaDvIKz0Oz8SzIWzR`xZduhhqpllxpizskzqkypkwok\ tmkplkmlkkkkhildhlaglZglWelSdlPclMalKakP`iUZiYZhaY\ ggWgkWeoVesVdxUczSczSazRazRczPczOdzMdxLetKepIgmIgi\ HheFhaDiYCiUAkP8kM8eVAaaCYhDToDYmCcmAgl8kl8ok7si5w\ i4zh2zh2zg0zg0ze0ze0zg0zg2zg4zg7zh8zhAzhDzhFxiHviK\ siLqiMniPkkRhkSekVckW`lYYl`VlaSlcOldLghIalFWpBRtBL\ xBFzB8zB2zB7zBAyBFuFIpJMlNPhQScTWZYZV`cRceLehHilCl\ o5os0ru0ux0vu0vt0vs0vp0vo4vm5vl8wiAwhDwgFwdIwcKwaM\ w`Ox`Px`Rx`Rx`Sz`Sz`Uz`Uz`Vz`Vz`Wz`Wz`Yz`Yz`Zz`Zz`\ `z``z`az`az`cz`czZ`hVZeYa } frm:MandNewt06 {; Jim Muth z=c=(pixel*p1): a=z^3+(c-p2)*z-c b=p3*z^2+c-1 z=z-1*a/b 0.000000000000000000000000000001 <= |a| } ; END PARAMETER FILE================================== ;