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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image is a variation of the curious rectangle in a Julia set of East Valley of the large midget on the infinitely-split negative X-axis of the Z^(2.003)+C Mandeloid. One day quite a few years ago, I stumbled upon this rectangle, which still remains the most surprising discovery of all my fractal explorations. The rectangle is impressive even in its pure form, but to add interest I have given it a slight translation and rotation, reducing it to the shapeless yet interesting mass featured in today's image. I named the image "Rectangle variation", which is what it is. I rated it at a 6, which is what I feel it is worth. The render time of 2 minutes on my tired old machine should try the patience of no one. For convenience the finished image is posted to the FOTD web site at: An absolutely perfect day here at New Fractal Central, with full sun and a temperature of 81F 27C, went unappreciated by the fractal cats, who passed the afternoon sleeping and playing. With not too much work to do, I enjoyed the day a bit more than the cats. I hope to enjoy tomorrow as much as today. The next FOTD will appear in 24 hours. Until then, take care, and be careful. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
RectangleVariation { ; time=0:02:06.72--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=SliceJulibrot4 passes=1
center-mag=0.00876166/0.00777778/26.82512
params=91.81/90.94/91.93/89.48/-1.7435/3e-005/0.00\
019/0.07388/2.003/0 float=y maxiter=1000
inside=bof61 logmap=51 periodicity=10
colors=000000000000000000100900H00P00Y04g19p6Ex9Kz\
EPzKUzP_zUez_jzbpzjK_r00x01z01z04z14zH6zU6zg9zx9zz\
CzzCzzzj040zP0zg0zz0xz0rz0mz0ez0_z4Uezzbzzbzz_zz_z\
zYzzYzzUzzUzzSzzSzzSzzPzzPzzMzzMxzKuzKrzHrzHpzEmzE\
mzEjzCgzCez9ez9bz6_z6_z4Yz4Uz4Uzxrzzzzzzzzzzzzzzzz\
zzzzzzzzxzxrzupxujrremp_gpUbmSYjMSjHMgCHe9Ce46b01_\
00_00Y00U00U00S00P00P00M00K00K00M00P00P00S00U00U00\
Y01Y06_0Eb0Kb1Se4Yg9egEjjKpjMxpHzrEzu9zx6zz1zz0zz0\
zz0zx0eu0Hr00p00m00g00b10Y60SC0MH0HM0CS06Y01b00j00\
p00u00z00z00z00z00z00z00zz00z00z00z00z60zK0zY0zj0z\
x0zu0zr0zr0zp0zm0zm0zj0zg0zg0ze0zb0zb0z_0zY0zY0zU0\
zS1zS4zP6zM9zMCzKEzKEzHCzC9z96z44z14z09z0Cz0Eu0Hp0\
Kj0Pe0S_0UU0YP0_K0bE0g90j40m00p00r00u00r10r90rE0pK\
1pS9pYHmbPmjUmpbmujjzrjzxjzzgzzgzzgzzgzzjzzmzzpzzr\
zzrzzuzzxzzzxzzrzzpxzmxzguzerz_pzYmzSjzPgzMezHbzE_\
z9Yz6Uzz6zz9zzCzzCzzEzzEz }
frm:SliceJulibrot4 {; draws most 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),
c=p+flip(q)+p3, z=r+flip(s)+p4:
z=z^(p5)+c
|z| <= 9 }
END PARAMETER FILE=========================================
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times.
