; Date: Wed, 26 Jan 2005 09:39:52 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 26-01-05 (A Nothing Set [7]) ; Id: <1.5.4.16.20050126094212.2a9fd97a@pop.mindspring.com> ; --------- ; ; FOTD -- January 26, 2005 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; I wrote another quick new formula since yesterday's FOTD, and ; gave it the impressive name 'multXYZWcompjb-min'. The only ; difference from yesterday's formula is that today's calculates ; (-Z) instead of (Z). The difference in the formula is small, ; but the change in the appearance of the fractals with fractional ; exponents of Z is great. ; ; Today's fractal shows a scene in the four-dimensional Julibrot ; of the formula (-Z)^1.4142*C^0.03+C. The orientation of the ; slice is very close to the Julia direction. But being close ; does not make today's image a Julia set, so I have named it "A ; Nothing Set". ; ; The true Julia set may be seen by changing the value of (p1) ; from 81,90.2 to 90,90. The Mandelbrot aspect of the scene ; appears when (p1) is set at 0,0. The point that corresponds to ; today's image lies in the disconnected triangle in the M-set. ; The other values of (p1) draw various oblique slices through the ; Julibrot, some of which are quite interesting, while others have ; little to offer. ; ; The image relies mostly on intense coloring for its effect. As ; a result I limited its rating to a 7. But the render time is a ; fast 2-3/4 minutes, which boosts the overall worth to 257. And ; don't forget the FOTD web site at: ; ; ; ; where the completed GIF image has or soon will be posted for the ; convenience of those who would prefer to leave the rendering to ; someone else. ; ; The clouds hung tough most all day on Tuesday here at Fractal ; Central, but the temperature rose to 36F 2C, which was comfort- ; able enough for the fractal cats. Unfortunately, the warmer ; temperatures started melting the snow, which then wet the paws ; of the duo, sending them scurrying back to the porch, where they ; sat for nearly an hour watching the birds fly by. The evening ; treat of tuna was a bit larger than average. Today is starting ; warmer with lots of clouds. But with so much snow still on the ; ground, it looks doubtful that the duo will have a good day. ; ; Since the work is still caught up, my day will be good. And ; when 24 hours have passed, the next FOTD will appear in all its ; glory and wisdom. Until then, take care, and be awe-struck in ; the presence of a fractal. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= A_Nothing_Set { ; time=0:02:43.52--SF6 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multXYZWcompjb-min function=ident/flip passes=1 center-mag=-0.306729/0/1.253133 params=81/90.2/1.4142/0/1.03/0/0/0/-0.76/0 float=y maxiter=2000 inside=0 symmetry=xaxis logmap=yes periodicity=10 colors=0004AA6AA8AAAAACAAEAAGAAIGLKKPMNTPQXST`VWdY\ Zh`alcdqfgtiixikyikzhkzgkzflzelzdlzclzbly`mx_nwZov\ YpuXqtWrsVsrUtqTtpStoRtnQtmTrlVpkXnlZkm`hnbeodbmf`\ khYijVglSelPcjMagJ_dGYaDWZAUW7SS5QP4OM4MO3KQ2ISCGU\ EFVGGWIHXJIYKJZKK_KK`KKaKKbKKcKKdKKdKKdKKdKHdKEdKA\ cK7bK4aK6`K7_K8ZIAYGBXFCWDEVBFUAGT8IS6JR5KP3MN1NK0\ OKh8ervdsodthdzaccXcYScMNcAJcFNcJQcNTcRWcVZcZacbda\ fgZjjWnmTrpQvsOupNtnMskLriKqfJpdIpaHo_GnXFmVElSDkP\ CkMPhKKeKFaK0ZH3WI6TH9VGCXGFZGI`FLbFOdERfETgEUcDV_\ DWWDWSDXODYKDYGDVJKTLRROYPQdTPgWOi_NkbMmeLoiKqlJso\ IujGmfEfaC_YBT`AWb9Ye8_g7ai6cl5en4gq3is2ku1ml4fc7`\ VAVMDPQCRTCTWBVZBWaAYdA_gA`hGXhLUiQQiVNj_JjdGkiCkn\ 9elF`jLWhRRfWMdaHbgCalHZjLXhQVfUTdYRbbPafN_jLYoJWs\ HUwFTsHSpISmKSiLSfNScOS`PS_UO_YL_aH_eE_jB_n7_r4_v1\ buBetLgtVjsdmrnorxnmumhrlhpkkmknkmqcotXqwPszIuzBqz\ LSzbUzfXziZzl`zoTznLzmDzm } frm:multXYZWcompjb-min {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p4, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5: z=(-z)^(p2)*(c^(p3-1))+c, |z| < 400 } ; END PARAMETER FILE========================================= ; ;