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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I named today's 6-rated image "Look the Other Way". It seemed a reasonable name in light of the odd nature of today's scene, which lies in the Julibrot, but is neither a Mandelbrot set nor a hole in a Julia set. It is actually what I call an Elliptic set, a slice through a hole in the Julibrot in the orientation defined by imag(z) and real(c). In the Mandelbrot set, the hole appears as a midget deep in a star of a period-19 radical in East Valley. It is actually quite an attractive midget. When sliced in the Elliptic direction, the hole appears shaped somewhat like a comma. The pattern around it is similar to the pattern that surrounds the Mandelbrot and Julia aspects of the same 4-dimensional hole. The parameter file runs in just under 10 minutes. The GIF image is also available on the W.W.Web at: The weather today, fractal weather that is, was perfect. The fractal cats rejoiced in the bright sun, gentle breezes and temperature of 75F 24C. The birds, butterflies and squirrels also rejoiced, keeping the cats amused. No philosophy today, but lots of relaxation on the way. So until next time and next fractal, take care, and watch out for that loose hypersphere. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Look_the_Other_Way { ; time=0:09:32.86--SF5 on a P200
reset=2002 type=formula formulafile=slices.frm
formulaname=Elliptic passes=1 center-mag=+0.000000\
00004423212/-0.00000000002221295/2.333694e+008/0.2\
271/-85.3597450306568106/85.4023337745133944
params=0.2759496837192636/0.00691711682698/0.27594\
96837192636/0.00691711682698 float=y
maxiter=6000 inside=0 logmap=-987
colors=050f5ai5bl5do5fr5gv5iy5kz5lz5nz5oz5qz6qx8qt\
BqqDqnHrkJrfMrbOr_RrWTtTWtQXtN`tIatFevBgv8jv4kv1ov\
0pvBoxNmy_kzkjzxhzzhzzctvZkoUaiPRbJIWB8Q50K50L50N5\
0NA0PF0PK0QP0QU0RX0Rb0Tg0Tk0Wk0Yh0af0bc0f`0gZ0kW0l\
U0oR0qP0rO0vM0xK0zJ0zH0zF0zD0zB0zA0z80z60z50zA0zD0\
zJ0zM0zP0zU0xX0ta0qe0oh0lm0ip0fu0bx0az0Wz0Tz0Qz0Nz\
0Iz0Fz0Bz08z02z00z10z20z40z60wB0sF0pK0mN0jQ0gV0cY0\
`a0Wf0Ti0Pl0Mq0Jt0Fx0Bz08z05z08z0Az0Dy1Fv2Jr4Ko8Ol\
9PiBTfFUbGX_IZYL`VNcRPePRhLTjIVmFYoB_r8as4dw1fx0gz\
0dz0az2Yz6Vz9RzDPzGNzIKzLGzPDzR9zV6zY2za1zb0zf0zi0\
zl0zo0zr0zt0zx0zz6zzDzzKzzRzzYzzdzzbzzazzazz_xzYwz\
YszWrzVozVmzTjzThzVkzVmzVozWpzWrzWszYwzYxzYzz_zz_z\
z_zzazzazzazzbzzbzzbzzbzzfzzizzlzznzzqzztzzxzzyzzz\
zzzzzzzzzzzzxzrwzkuzbrzVpzNozPpzQpzRpzTpzVpzWpzYpz\
Ypz_pzapzbpzdpzfpzgpzgpzipzkpzlpznpzopzqpzqpzrszru\
zrwzrxztzztzzlzzozzqzzrzz
}
frm:Elliptic {; Jim Muth imag(z),real(c)
z=flip(imag(pixel))+p1,
c=real(pixel)+p2:
z=sqr(z)+c,
|z| <= 16
}
END 20.0 PAR-FORMULA FILE==================================
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times.
