; Date: Wed, 10 Jun 2009 19:59:04 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 11-06-09 (Seahorse Valley-11 [8]) ; Id: <1.5.4.16.20090610200026.2b4fe8be@pop.mindspring.com> ; --------- ; ; FOTD -- June 11, 2009 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is a scene in the Oblate aspect of Seahorse ; Valley. The Oblate aspect is defined by the real(z) and imag(c) ; axes of the Julibrot. To find the Oblate view, take the point ; at -0.75 on the negative X-axis of the Mandelbrot set and ; imagine the real(z) axis cutting perpendicularly through this ; point, extending in front of and behind the screen. This line ; is actually the X-axis of the basic Julia set of Seahorse ; Valley, and when taken with the real and imaginary C axes ; defines a three-dimensional hyperslice of the four-dimensional ; Julibrot figure. Now rotate the 2-D image on the screen 90 ; degrees around the vertical axis, through this imaginary 3-D ; hyperslice until it sits in an upright position perpendicular to ; the screen, facing left and right. This is the oblate aspect of ; Seahorse Valley. It's easier to think about than describe in ; words. ; ; Now that we have our bearings in Seahorse Valley, what we find ; in there is a whole slew of those things I call peanut holes. ; In today's image the holes are filled in because of the maxiter ; of one-million, but they may be seen in their full glory by ; lowering the maxiter to 7,500. Curiously, these peanut holes ; appear in all aspects of Seahorse Valley, while the Mandeloid ; elements such as minibrots vanish soon after we leave the ; Mandelbrot orientation. ; ; I added superfluous detail to the scene by rendering it with the ; outside set to 'summ', and then I colored it to resemble a scene ; on some surreal alien planet. I rated it at an 8 because I kind ; of like scenes on alien planets. The calculation time of under ; 10 minutes will probably be cut to less than half on a current ; S.O.T.A. (state-of-the-art) machine, once the machine is taught ; how handle the Fractint program. Or perhaps it is best to ; forget teaching a new computer old tricks, and trek electronical- ; ly out to the FOTD web site at: ; ; ; ; to view the finished image in its full glory there. ; ; Thickening clouds here at Fractal Central on Wednesday did not ; dim the spirits of the fractal cats, who spent a good part of ; the day chasing each other up and down the hallway. The tempera- ; ture of 84F 29C was just about normal for the end of spring. My ; day was busy but under control. The next FOTD will be posted in ; 24 hours. Until then, take care, and does dark energy come from ; the world of fractals? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Seahorse_Valley-11 { ; time=0:09:51.37-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=Oblate passes=1 center-mag=-1.18496393\ 032451400/+0.00512773353588221/33113.21/0.6062/\ -1.06803255737970959/-88.8155012674095872 params=0/0/-0.75/0 float=y maxiter=1000000 inside=0 outside=summ periodicity=10 colors=0001_z1Zz1Zz1Zz1Zz2Yz2Yz2Yz2Yz2Xz2Xz2Xz2Xa2\ W`2WZ2WY2WX3VW3VV3VT3VS3UR3TQ3SP3SO3RM3RL3QK3QJ4OI\ 4OG4MF4ME4LD4KC4KA4J94I84H74H64G56H57H58I59J5AI5BJ\ 5CG5DF5EE5GD5HC5IB5JA5KA5LA5NA5QC5TE5WG5YI5`M5cQ5c\ U5cW5cY5c_5cc5ca5c_5cY5cX5eX5gY5iY5kY5lY5kY5jZ5kZ5\ lZ5mZ5nZ5o_5p_5q_5r_5s_5rZ9rZDrZGrYKrYNrYRrYVrXYrX\ arXdrXhrWlrWorWsrWvqVuqVtpVtpVspVsoVroVroVqnVqnVpn\ VpmUomUnlUnlUmlUmkUlkUlkUkjUkjUjjUjiTiiThhThhTghTg\ gTfgTfgTefTezTdzTdzSczSbzSbzSazSazS`zS`mS_mS_mSZmS\ ZhTZgUZfVZcWZcXZcYZcZZc_Zc`ZcaZcbZccZcdZ`AtZCrYDpX\ FnVHlUJjTKiSMgQOePQcORaMT_LVYKXWJYVIUWHUXGVcGVcFVc\ EVcDWcDWcCWcBWcAWcAWc9Wc8Xb5Ya8ZbA_cC`dEadGbeJcfLd\ gNegPfhRgiThjWijYjk_klalmcmmennhoojpplqpnsqptrrurq\ spprnoqlopjnohmnflmdllbkk`jjZiiXihVhgTgfRfePfdNecL\ dbJ`hHdaHgVHjOHnHHqAHw2Et4Hq5Jo6Ml8Oi9QgATdCVbDY_E\ _XGaVHdSIfPKhNLkKMmIOpFPr } frm:Oblate {; Jim Muth real(z),imag(c) z=real(pixel)+p1, c=flip(imag(pixel))+p2: z=sqr(z)+c, |z| <= 16 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint