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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: A big rush left little time for fractals on Wednesday, but I did manage to find one in a hurry. The little order-6 minibrot in today's image mixes both quadratic and order-6 elements. It is located on the northeast shore line of the main bud of its parent fractal, which exactly resembles an oversized Mandelbrot set. Since I found the scene almost automatically, I could rate it no higher than a 6. The name "One From Many" had some relevance when I thought of it, but now I can see little meaning in it. The calculation time of 2-1/4 minutes is speedy enough for such a routine fractal. And the already-calculated image has been or soon will be posted on the FOTD web site at: Another perfect day went un-noticed by the fractal cats on Thursday, while I noticed the perfection but had no time to enjoy it. The next FOTD will be posted in 24 hours. Until then, take care, and wait with anticipation. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
One_from_Many { ; time=0:02:15.66-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=DivideJulibrot passes=1 periodicity=10
center-mag=-23.3599216711707/+3.587124300227662/5.\
186719e+009/1/-158.75/0 params=0/0/0/0/0/0/0/0/6/30
maxiter=2200 float=y inside=0 logmap=239
colors=000h5Ag5Ae5Ac5A`5AY8AVBASEAPHAKKAGNABQ87S6C\
T9GUCKVEOWHTXKXYM`YPdZRi_Um`XqaZubaybctaao`_j_YfZW\
aZVXYTTXROWPJVNFVMIXLLZLN`LQbLSdLVfLXhL_jLakLgmQln\
Vro_wpdunfsmgqkiojjmhlkgmifngdpecqcasa`t`_u_aq_cnZ\
djZfgZgcYi`YkXXlUXnQXoNWqJWsGVtCVv9Vw6Tl8Rb9PTBNJC\
L9DSIBYRAc_9ih8oq7uy6ozEizLczSYzZTzeUqgViiWakWUmhb\
iukfVTNSWMPZLN`KKcJIeIFhHDjGAmF8oFDiKIdOM_TRVXVQa_\
LecGiWJbOMXHPRGSPGUOFXNFZMFaLEcKEfJEhHDkGDmFDpECrD\
CuCCwBFtCHqCJnDLlDNiEPfERdFTaFWZFYXG_UGaRHcPHeMIgJ\
IiHIkJHlKHmLHnNGrOGvPGzNJzLLtJNnIPiGReEUdDWbBY`9__\
8aaFbcLbeRbgXbibbkhbmnbotbpzbmrajjagbadV`aN`_G`_G_\
_F__F__F__F__FZ_EZ_EZ_EZZEYZEYZEYZDYZDXZDXZDXZDXr5\
_x4Xs9YoDYkHZgLZcPZ_T_WX_S``Od`Kh`Xjdilhumkpngkocf\
p_aqWXrSSsONtKIuGDvC8w84x46y87zB8zFAzIBzMCzPDzTFzW\
Gz_HzbIzeHzfHzfHzfHzfHzfHzfGzgGzgGzgGzgGzgGzgJzdMz\
bPz`RzZUzXXzV_zTazRdzPhzd }
frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots
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),
aa=-(real(p5)-2), bb=(imag(p5)+0.00000000000000000000001),
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=sqr(z)/(z^(aa)+bb)+c
|z| < 1000000 }
END PARAMETER FILE=========================================
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times.
