This movie was made with the formula z(sub t+1) = z(sub t)^x + C. This is is similar to the Manelbrot formula where 'x' would equal a constant (2). The animation in this movie is cause by the actual formula changing, not zooming in and out like most animations. 'x' from the above formula is cycled from .01 to 11 with 242 frames in between. Each frame was manually generated and linked together with GIF movie gear. This is the Hi-Res Version (~11 megs) This si the Low-Res Version (~1.7 megs) These are all of the individual frames I know it is a bit basic and I probably should have used a better colour MAP, but I was just playing with the formulas one day and came up with this idea. What do you guys think? And does anyone know a better way to make all the frames rather than doing each one by one?
From: Jim Muth <jamth@mindspring.com>
Reply-To: Fractint and General Fractals Discussion<fractint@mailman.xmission.com>
To: fractint@mailman.xmission.com
CC: philofractal@lists.fractalus.com
Subject: [Fractint] FOTD 29-09-05 (Square Root of 2-6 [4])
Date: Thu, 29 Sep 2005 09:42:11 -0400
>
>FOTD -- September 29, 2005 (Rating 4)
>
>Fractal visionaries and enthusiasts:
>
>Things are still a bit too busy here at Fractal Central for
>maximum FOTD efficiency, but I did manage to scrounge up an
>image worth being christened FOTD for September 29.
>
>To find today's image, I searched the chaos on the northern
>shoreline of the +36 version of the square-root-of-two
>Mandeloid, a parent fractal that rather reminds me of an old-
>fashioned string of sausages.
>
>The image features a midget at the center. Well, it could more
>accurately be described as a hole surrounded by the fractal soil
>that was dug away to create it. There appears to be no
>organized pattern at all surrounding the midget, only bits and
>pieces of rather nasty-looking debris left over from its
>creation.
>
>But all fractals, like all stories, should have a theme. And
>without a theme, today's image must be rated under average. I
>gave it a rating of 4, the highest under-average rating I could.
>
>Luckily, the image is a fast one, rendering in 2 minutes on my
>old machine, and in under 1 minute on the newest units. For the
>convenience of those who do not render, the already-rendered
>image is available for download on the FOTD web site at:
>
> <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
>
>Perfect weather here at Fractal Central on both Tuesday and
>Wednesday kept the Fractal Cats quite happy. Having too much
>work kept me unhappy. Today is starting cloudy with rain in the
>forecast, so I doubt there will be another perfect day for the
>cats. For me, the work is under control, but still heavy. The
>next FOTD will appear in 24 hours. Until then, take care, and
>be fractalish.
>
>
>Jim Muth
>jamth@mindspring.com
>jimmuth@aol.com
>
>
>START PARAMETER FILE=======================================
>
>Square_Root_of_2-6 { ; time=0:02:00.23--SF5 on a P200
> reset=2004 type=formula formulafile=allinone.frm
> formulaname=mandelbrotbc2 passes=1
> center-mag=-0.27721719749208490/+0.227484603426743\
> 80/354.5796/1/-47.5/-8.13835110413663188e-013
> params=1.414213562373/0/36/0 float=y maxiter=1600
> inside=0 logmap=yes periodicity=10
> colors=000gHqeHqcIqbIq`IqZJpYJpWKpUKpTKpOagKsZNp_Q\
> n`Sl`VjaXha_fbbdcdbcg`diZdlXenVekTchSaeQ_bPY_OWXMU\
> ULSRKROIPLHNIFLFEJCDH9BF6AD39C6GI8NOATUD_ZFedHljJr\
> oMpjPofRmaUlYXjTZiPWeOTbOQZONWOKSNHPNEMNBIN8FM5BM2\
> 8M05M36O67P97RC8SF8TI9VL9WOAXRBZUB_XC`_CbbDceDdcHc\
> aKc_NcYQbWTbUWbSZbQaaOdaMgaKjaIm`Gp`Es`Dv`Ht_Ks_Nr\
> _Qq_Up_Xo__n_bm_fl_ik_lj_oi_ohcohfohjohmohpWOYD4GI\
> 7IMAKRDLVGNZIOVNTSSYOWaL`fIdjJehKegLefLfeMfcNfbOga\
> Og`PgZQhYRhXRhW8qdAodBndCmdDldEjdFidGhdHgdIfdJddKc\
> dLbdMadN`dLVgJQjHLmFGpDBrHFqKIpNLoQOnTRmWUl_Ykb`je\
> cihfhkignlfqoflpdhqcdrb`saWt_StZOuYKvXFwVBxU7yT3yS\
> RcQmJPjLQgNRdPSbRT_TTXVUVXVSZWP`XMbXKdYHfZEh_Cj_Fn\
> dIqiKtnNwsPzwNrtLjqJbnHVlFNiDFfB7dDAcEDcFGcGJbHMbI\
> PbJSbKVaLYaM`aNcafSZmPYsMXyJWj1xf5sc8n`BiYEdVH`TLb\
> SOdQSePVgNZiMajKdlJhnHkoGoqErsDutHtpLslPriTqeXpbOb\
> QGQEKPFOPGRPHVPIZPJjGrhGr }
>
>frm:MandelbrotBC2 { ; by several Fractint users
> e=p1, a=imag(p2)+100
> p=real(p2)+PI
> q=2*PI*floor(p/(2*PI))
> r=real(p2)-q
> Z=C=Pixel:
> Z=log(Z)
> IF(imag(Z)>r)
> Z=Z+flip(2*PI)
> ENDIF
> Z=exp(e*(Z+flip(q)))+C
> |Z|<a }
>
>END PARAMETER FILE=========================================
>
>
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