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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Unless I'm mistaken, today is that ill-fated day, the Ides of March. And what better way to celebrate the day than with a fractal. The fractal in question is a near-Julia set of the Seahorse Valley area of the (-Z)1.44+C Mandeloid. The difference between a near-Julia set and a pure Julia set is immense. To see the difference, change the (p2) parameter to 0,0 and re-run the parameter file. Actually, a near-Julia set is simply an oblique slice through the four-dimensional Julibrot figure, very close to but not exactly in the Julia orientation. The unusually terraced effect of the image was created by rendering it with the outside set to 'tdis', which draws the bands according to how far the points travel before passing beyond the escape radius. I named today's image "Forever Fractal". Fractals are creations of mankind as much as the complex numbers that bring them into being. I rated it at an 8-1/2, including an extra 1/2 point for my coloring expertise. Finally, the calculation time of 2-1/2 minutes should cause no one to feel impatience. And as always, the finished image is available on the FOTD web site at: An unusually pleasant day graced Fractal Central on Friday, when lots of sun and a temperature of 61F 16C brought out the best in both man and cats. The lighter than expected work gave ample time to enjoy the outdoors. Unfortunately, rain moved in just after nightfall, and Saturday will not be nearly as pleasant. But whatever, the next FOTD will appear, probably on schedule in 24 hours. Until that enlightening moment, take care, and to where is our over-developed intellect and under-developed wisdom leading us? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Forever_Fractal { ; time=0:02:31.65-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=EvenMoreSlices inside=0 periodicity=10
params=1.44/0/0.004/0.004/-0.7393818/0.0302556/0/0
center-mag=-0.289695/0/1.253133 maxiter=10000
float=y outside=tdis
colors=000HhzHczGZzGUvFPmEKcEFUD0K70BA0CD0DF0EI0FL\
0GN0HQ0ET0BQ18T49V79XA9ZD9`F9bI9dL9gOAiRAkTAmWAoZA\
qaAsdAze7wf9ufAsfCqfDofFmfGkfIhgJfgLdgMbgO`gPZgRXg\
SUhUShVQhXOhYMh_Kh`IhbFicDieBif9ih7ii5ik1kn3il5gk7\
fj9diBbgCafE_eGZdIXbKVaLU`NS_PRZRPXTNWUMVWKUYIS_HR\
aFQaEPbCNcAMd9Le7Kc4Dc5Ge6Jg7Mi8Pk8Sm9VoAYqB_rCbsC\
etDhuEkvFnwGqzFwxGuwGsuGqtGorGnqGloHjnHhlHgkHeiHch\
HafI_eIZcIXbIV`ITeMLbKP_ISXGVUEYRC`OAcL8fJ7iK9hLBh\
MCgNEgNFfOHfPIeQKeRLdRNdSOcTQcURbVTbVUaWVaXV`YW`ZW\
_ZX__YZ`_Za`YbnYas`boZbkYbgXbdWb`VbYUbWTbTSbQRaOQ`\
LP_IOYEOYGNZHN`JNaKNbLNcNMcOMcPMcRMcSMdULdVLdWLdYL\
dZLd_LeaKebKedKeeKefKfhJfiJfjJflJfmJgoHfnJfmKflMek\
NejOeiQehRdgTdfUdeVcdXccYcbZca`b`ab_cbZdbYeaXgaWha\
Vi`Uk`Tl`Sn`Ro_Qp_Pr_Os`Lu_Nt_OtZPtZQtZRtYTtYUtYVt\
XWtXXtWZsW_sW`sVasVbsVdsUesUfsUgsThsTjrSkrOlzNmzNm\
zMmzMmzLmzKmzKmzJmzJmzImz }
frm:EvenMoreSlices {; Jim Muth
; P1--exponent, P2--angle,
; P3--M center, P4--J center,
z=pixel+(p4), c=p3+(pixel*p2):
z=(-z)^(p1)+c,
|z| < 16 }
END PARAMETER FILE=========================================
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times.
