; Date: Mon, 09 Dec 2002 09:19:17 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 09-12-02 (The Nest [6]) ; Id: <1.5.4.16.20021209092132.2a07c0fc@pop.mindspring.com> ; --------- ; 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: ; ; ; ; and at: ; ; ; ; 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 PARAMETER 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 PARAMETER FILE================================== ; ;