FOTD -- January 25, 2003 (Rating 5-1/2) Fractal visionaries and enthusiasts: In this world of multiplying triternion formulae, there is still room for the MandelbrotMix4. Today, this workhorse formula carries us to the virtual world that pops into existence when various portions of Z^(-1.618) and Z^(-11.48) are combined and (1/C) is added. This entire world is an oversized, fragmented fractal that is indescribable in shape, but has a small open area with numerous Mandeloid features. Today's scene is located in a sub-spiral of a spiral in the center of a feature that resembles a multiple Seahorse Valley more than anything else. I named the image "Spinning Off" because with its coppery fringes it reminds me of an old computer animation. (Is there any such thing as an *old* computer animation?) The original animation was of a spinning disk which disintegrates into coppery fractal dust as it spins. Upon seeing the final result of the day's effort, I stepped back and said, "this one deserves a rating of 6." Then I stepped a bit farther back and decided that the image rates only a 5. I finally decided on the rating of 5-1/2, which is infinitesimally above average. Today's image also can be evaporated and colored with the bof61 inside fill, but doing so results in a fractal a bit too chaotic to be a FOTD. The render time of 33 minutes is admittedly a bit excessive, but fractal salvation is at hand, for the completed GIF image may be downloaded from one of the FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The weather remained below freezing all day Friday, while the fractal cats remained by the heat sources all day. A tempera- ture of 30F -1C is too cold for fractal whiskers. The duo finally came to life in the evening, when their empty stomachs reminded them that food exists. Today is only slightly warmer, so I expect they will have a similar day. As for me, I will try to avoid an imminent shopping trip, most likely without success. Luckily, I have the patience to endure, and thoughts of fractals will carry me through. Until next FOTD, take care, and before we can find the answer, we must know the question. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Spinning_Off { ; time=0:33:53.28--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.34451506120471600/-0.107403741819450\ 00/5.433651e+011/1/155/-0.0660300637674467727 params=3.63/-1.618/5.94/-11.48/0/125 float=y maxiter=3600 inside=0 logmap=691 periodicity=10 colors=000UKfUIfTHeTFeSEdSCdRBcRAcUBeXBf_CgbCheDjh\ DkkElnEmmJkmOimTgmYembdnZfnWgoShoPioMjpIkpFlpCmlBj\ hAgdAda9bY8_U8XQ7UN6SJ6PF5MC5KODIZKHjRFzYEy_FxaGwc\ HveHugItiJskKrmKqoLpqMorMnqNmpOlpOkoPkoPjnQinQhmRh\ mRglSflSekTekTWhONaKEbF5YB6aA7cA8e99g9Aj8Bm8Cp7Ds7\ Ev6Ex6AaP6Lg25zB6rK7kT8da9YiARjCUkDXkEZlGamHdmIflL\ blNZkQVkSSkVOjXKj_HiaDid9if6fd5cb5``5YZ5WY5TW5QU5N\ S4KQ4IP4FN4CL49J46H44G4LJIaLWqNirMesLasKYtJUtJRuIN\ uHJvGFvGCnQRg_e`ht`Xo`Mk`BgWAZR9RM9JH8BC83EE7GKAIQ\ DKWHMaKOgNNlNQmQTnSWoVZpXaq_bv_cqadmcehefdgg`ihWki\ SmiLsiOniRiiUdiX`i_WibRieNihIpkDsr7nn9hkBgeDf`F_XG\ dZIoWK`TMbPNaMP`JR_GT_DU_EW_FY_G__Ha_Ic_Je_Jf_K`_L\ j_Mq_Nh_Oz_Pz_PsaUzcZmecjghgimdjrbgk_edXbaUNaHOaMP\ aRQaWVd__fbchehjilllqnouprnjkkkhhmeeobbq__sXYuUWwW\ UyXTzYRzZQz_Oz`NzaUzc`zdgzfnzguzhozbizXiz7czSYzMxz\ GrzHmzHhzHbzHYzHKz1Mz3Nz5 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================