FOTD -- December 09, 2002 (Rating 6) Fractal visionaries and enthusiasts: Well, fractal persistence paid off, and I finally found an image worthy of an above-average rating. True, it's only a slightly- above-average rating of 6, but it's still an above-average rating, and that's all that matters. I might have rated the image higher if it had been something I found rather than created with the < epsiloncross > inside fill feature of Fractint. But let's not quibble -- an above-average image is an above-average image, and I needed an above-average image. (Having repeated the phrase 'above average' a sufficient number of times, I shall mention it no more.) The expression (-Z)^(1.5)+C was iterated to draw the fractal. Iterating -Z instead of Z merely reveals a different part of the infinite complex logarithmic spiral. The 'SliceJB-new-min' formula is a slight reworking of a formula that was posted to the list several years ago by John Goering. Today's image is an oblique slice of the -Z^1.5+C Julibrot. The slice is oriented rather close to the Julia direction, which is revealed when (p1) and (p2) are set to 0.5,0.5. I named the image "The Nest" when it reminded me of some crazy bird's nest. With its effect of being illuminated from behind, the image could just as easily been named something inspirational such as "Crown of Thorns". The 'SliceJB-new-min' formula draws more rotations than any other formula in my vast and partly forgotten collection, but it does not draw every possible rotation in four dimensions. Finding a formula that does this is still one of my quests. The render time of 18 seconds is blazingly fast, but the down- load of the completed image is still available at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Sunday was pleasant enough, with hazy sun, gentle breezes, and a temperature of 48F 9C. The problem was that the snow turned wet and slushy -- far too unpleasant for the cats' tender paws. They once again passed the day keeping warm and wishing they could get outside to play. This morning the snow has re-frozen and is dry, but the tempera- ture is well below freezing -- far too chilly for the intrepid ones. Having a pile of work to think about, I shall give the cold little notice -- that is unless some reason arises that I must wander outdoors. Until the next FOTD appears in 24 hours, keep warm or cool, whatever the case may be, and keep your fractals dry. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ The_Nest { ; time=0:00:18.46--SF5 on a P200 reset=2002 type=formula formulafile=julibrot.frm formulaname=SliceJB-new-min center-mag=0/0.0688935\ /0.6666667 params=0.49/0.56/0.4/0.39/1.5/0/-0.0\ 416275/0.7559499/0/0 float=y maxiter=1200 passes=1 inside=epsiloncross proximity=0.05 periodicity=10 colors=0007I00008GO7LQ6NT5QW4TZ4Wa5Zd6`g6ak7bo8cs8\ ew9hx9kyAnzBqzBtzCwzDzzDzzEzzEzzJzzOajSYiXUiaQheMh\ 000000mRj000nQk000nNm000mKnmIolGplFplDqkCrkAsk9sjE\ kiIchMXhQPgUIfYAfa3d_7bZB`XFZWIXUMVTQTRTRQXPO`NNdL\ LgJKkHIoFHrMLpSOnYSlcVjiZhoagm_dkYbjW`hUZfSWeRUcPS\ aNQ`LNZJLXHJWGHYIHZLK_NM`PO`RQaTSbVUcXWc_Zda`ecbfe\ dfgfgihhkjhmlT_aUXcVVeVTfWQhWOiXMkYJmYHnZFpZDqiu_j\ t`kt`lsamsamrbnrborcpqcqqdqpdrpesoetoftofniihdlb_o\ XVrRQuLLxONuROrUQoXRlZTiaUfdWcgX`iZYl_VoaSrbPtcMr`\ NqZOpXPoVQnSRmQSlOTkMUjJViHWhFXgDYfAZe8_d6`c4aTiUV\ jTXkTYkT_lT`lTbmTcmSenSfnShoSioSkpSlpSmlPmhMmdJzmH\ mYEnUBnR9nN6nJ3nG1hQLc_cZivHD3EQ9BaF9mLAlOAlRAlTAk\ WAkYBk`BkbBjeBjgBjjBjlAei9ag8Yd7Ub7Q_6MY5IV4ET3AQ3\ 6OK8T_9YoAbhFebKgXPjRUlLZoFbqOZiXWbeTWbUV`UVYVUWVU\ UVTRWTPWSMXSKXRIXRKYPMYNNZMPZKQ_JS_HT`GV`EWaDYaBZa\ A`YFbVJcSNeOSgLWhI_WI`JIa } frm:SliceJB-new-min {; thanx to J.R.H. Goering, July 1999 pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1), b=pi*imag(p1), g=pi*real(p2), d=pi*imag(p2), 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)+(p4), z=r+flip(s)+(p5): z=(-z)^(p3)+c |z|<=100 } END 20.0 PAR-FORMULA FILE==================================