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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image reminds me of a scene in a limitless space. As I study the image, I see a flight of exotic fractal birds striving toward the red glow beyond the upper left corner of the screen. I named the picture "The Fractal Flight". The parent fractal, which was created by the very simple formula Z^1.09+C, is in the shape of an oversized and rather eccentric ellipse extending well beyond the southwest corner of the screen. This ellipse has much chaos along its edges, and a rudimentary bud on its northeast border. The flight of today's fractal birds exists in the southern branch of the quasi-valley that encloses the rudimentary bud. With competing centers of attention, the composition of the picture suffers, but the 5-rated image is still worth the minute or so required to download the GIF file from Paul's web site at: Today's weather was once again sunny here at Fractal Central. The chilly afternoon temperature of 54F 12C was tempered by a total lack of wind. Lured outdoors by the calmness, the fractal cats enjoyed their best romp in over a week. As for me, I've found the photographs that were missing yesterday, and I'm ready for at least a productive, if not a busy day. The best time to get started is now, so that I'll finish early. Until next time, take care. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
FirstFractalFlight { ; time=0:33:48.45--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=floor passes=1
center-mag=+0.49923547537758030/-0.605274302365574\
00/69.28278/1/-50/-1.01391117723892421e-013
params=1.09/0/-232/10000000 float=y maxiter=40000
inside=0 logmap=115 periodicity=10
colors=000LQbKSbKU_JV`IW`IX_HYZGZZG_YF`YFaXEbWDcWD\
dVCdUBeUBfTAgSAhS9iR8iQ8jQ7kP6lO6mO5nN5nN8oOAoPDpP\
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f`NbcOZhQVmSRpTNoSMlSMiRLfRLcRKbQKaQJ`QJ`PI_PIZPIZ\
OHYOHXOGXNGWNFVNFVMEUMETMETLDSLDRLCRKCQKBQJBPJAOJA\
OI9NI9MI9MH8LH8KH7KG7JG6IG6IF5HF5GF5GE4FE4EE3ED3DD\
2CD2CC1BC1BC1AH2AM2AR39W39`49d48i58n58s67x67z77z7A\
zBDyFFuJIrMKnQNjUPfYRb`SadUahValXaoYas_aw`az`ay_ay\
_ay_`y_`y_`y__x__x__x_Zx_Zx_Zx_Yx_Yw_Yw_Xw_Xw_Xw_W\
w_Vv_Vv_Uv_UvaSvaSvaRvaRuaPuaPuaPuaPubOubOtbOtbOtb\
NtbNtbNtbNtcMscMscLscLsdKsdKsdJseJtfItfItfItgIthIt\
hIthItiItjItjItjItkJtlJtlJulJumKunKunKunKunKupJupJ\
upJupJuqIuqIuqIuqIvrIvrIvrIvrIvsIvsIvsIvsIvtIwtIwt\
IwtIwuIxuIxuIxuIxvIyvIyvIyvIywIzwIzwIzwIzxIzxIzxIz\
xIzyIzyIzyIzyIzzIzzIzzIzzIzzIzzIzzIzzIzzIzzIzzIzzI\
zzIzzIzzIzzIzzIzzIzzIzzIz
}
frm:MandelbrotBC1 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z) > r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < a }
END 20.0 PAR-FORMULA FILE==================================
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times.
