; Date: Wed, 15 Jan 2014 09:31:15 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 14-01-14 (Battle in the Deep [A-8,M-8]) ; Id: <1.5.4.16.20140115093150.2bbfacb4@earthlink.net> ; --------- ; ; FOTD -- January 14, 2014 (Rating A-8,A-8) ; ; Fractal visionaries and enthusiasts: ; ; I named today's image "Battle in the Deep". It could be a ; picture of a squid and lobster locked in mortal combat, or more ; likely it could be a glimpse of what goes on in a near-Julia ; aspect of Seahorse Valley of the (-Z)^(1.5)+C Mandeloid. But ; whatever it is, the image rates an 8 both for art and math. ; ; A couple very similar images have already appeared as FOTD's ; several years ago, which keeps today's rating from being even ; higher. But don't be put off by the repeat. Today's FOTD image ; is certainly worth the few minutes required to set up and run ; the parameter file. ; ; The outer shape of two touching circles is a Julia set of ; 'Seahorse Valley' of the parent Mandeloid. The jagged tannish ; arms inside the double circle are part of the Mandeloid Seahorse ; Valley itself, grossly enlarged and distorted by being sliced at ; such an extreme angle, which is double rotated only 0.01,0.01 ; degree from the true Julia orientation of 90,90. ; ; The near-proportional enlargement of the Mandelbrot valley is a ; four-dimensional thing that happens when a shape with two ; extended dimensions and two small dimensions is cut by a 2-D ; slice at an angle very close to the plane of the two extended ; dimensions, and intersects this plane in only one point. It's ; impossible to visualize in 3-D space, where two planes must ; always intersect in a line and only one dimension can be ; stretched. ; ; The image may be seen by running the included parameter file or ; by visiting one or all of the FOTD web sites. ; ; The image is posted at: ; ; ; ; ; ; ; ; ; ; The day here at Fractal central began with rain, which continued ; until mid-afternoon, leading to a cloudy evening with a ; temperature of 45F +7C. The new fractal cat Jasmine, who is now ; looking more like a cat and less like a kitten, is getting more ; attention from old fractal cat Nicholas, who is starting to ; notice that she will soon be a lady cat. The fractal people ; have known this for several months. Their concern is more about ; work and the current world problems. ; ; The next in the near endless series of FOTD fractals will soon ; be posted, with many more FOTD's still in the pipeline. Until ; whenever, take care, and the world apparently makes sense only ; on the human scale. When we start to grapple with the extremely ; large or small, nothing makes sense at all. Maybe the mystics ; and New-Agers are right and everything really is an illusion. ; ; ; Jim (I'm a Boltzmann brain) Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Battle_in_the_Deep { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=t center-mag=-0.288401/0/1.25 params=89.99/0/89.99/\ 75/-0.74074/0.00399/0/0/1.5/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=0 sound=off colors=000A0mA0mA0mA1mB2mC4mD7mEAmFDmGGmHJmIMmJPmL\ SnNVoPXlRYjT_gVadXcbZe_`gXbiVdkSfmPhnNjoKloIjjHifG\ hbFgZEfVDeRCcNBbJAaF9`B8_77Z37TC8NK8HS9C_9GXDKVGOT\ JSRNWPQ_NTcLWaNV_PVYRUWTUUVTSXTQZTO`SMbSKdRIfRGhQE\ jQCwJDqNDkQEfTE`WFWZFQaRHeNJdJKdFLdCMc8Nc4Oc1Pcf06\ a9AXHDSPGIVDKWFMWHOXJPXLRYNTYOVZQWZSYZU__Wa_Xb`Zd`\ `fabhadQq`yqfqieiaecP_bRabTcbVeaXgaZiZaia`jc_jeZjg\ YjiXjkWjmVjoUjqTjsSjuRjwQjyQjvPktPkrPkoPkmPkkPkiPk\ fPldPlbPl_PlYPlWPlOXmRTlUPlXLk_HkdBkaEkZHkWKkTNkQP\ kNSkKVkHYkE_kBbk8ek5hkhE4gC3fA1f90cB2`C4ZE6WF8TH9R\ IBOKDMLFJNGGOIEQKBRM9SNEULJVKNWJSXIXZH`_Ge`FiaEkbH\ mbKnbNpcQqcTscWtcYpdWmeVjfUggSihRkiQliPmjNnkMolLom\ JpnIpoHqoGqnJqnMpnPonSnnVmnYkn`tncynfzjizfdvb_sZWq\ VRoQNmLIkGEhB9d65YCCcIJnOQkUWjVEhSQdRNZJTUMTTQYZMg\ cJc_GdWDeSAfP8fL5gH2hE0hJ3eN5bS7_W9X_CUdERhGOlIMjL\ QiOThRWgU_eWbdZecaibdlafo } frm:SliceJulibrot5 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(real(p5))+c |z|< esc } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;