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Fractal of the Day
by Jim Muth
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FOTD -- January 05, 2009 (Rating 4) Fractal visionaries and enthusiasts: With almost the entire day spent at a nearby antique emporium, I was left with no time to find a new image on Sunday, so I worked up a new view of an old image -- the image from Dec 3, 2008, which was named "Golden Nonabrot". The formula behind the image, the DivideJulibrot, appears rather awesome on the surface. But it does draw any Julibrot angle of any scene calculated by the DivideBrot5 formula. That image was an everyday Mandelbrot view of the scene, while today's view of the same area is an oblique view through the Julibrot. Most of the image is a repeat of the earlier image, including the same color palette. The main difference is the shape of the minibrot at the center, which instead of an 8-lobed Mandelbrot midget, now appears as a narrow slit. Because the image holds very little that is new, I could rate it no higher than a sub-standard 4. The name "A Golden Oldie" refers back to the original image, which appeared a month ago. The calculation time of under 4 minutes might be a bit too much to ask for an image that is a virtual repeat. The better choice may be to hop on out to the FOTD web site at:and view the pre-calculated image there. Clear skies in the morning gave way to afternoon clouds and light evening rain here at Fractal Central on Sunday, while the temperature reached 37F 3C for the third consecutive day. The fractal cats were unhappy about the clouds that moved in and hid the sun in the afternoon. I spent the day with FL, looking at the stuff other people threw out, yet still managing to find the time for a FOTD when we returned after dark. The next glorious fractal image will be posted in 24 hours. Until then, take care, and be unbounded yet finite. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
A_Golden_Oldie-2 { ; time=0:03:56.45-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=DivideJulibrot sound=off periodicity=10
center-mag=0/0/4.266495e+009/0.0131/88.538592287154\
06/-89.1361541431742808 float=y mathtolerance=0.05/1
params=-92/189.6/-26.6/58/-442.1377733748792/0.1697\
133339657901/-442.1377733748792/0.1697133339657901/\
9/250 inside=0 maxiter=60000
colors=000neSlbUk`WiZZgX`fVbdTddQkcRfcRbcRZcRVbSRb\
SNbSJbSF`OAbSBdVBfZBhaCjdClhCnkDpoDrrDsuDpsCnrClqC\
joBhnBfmBdkAbjA`iAZg9Xf9Ve9Xl0Vh5Td9S`DQXHOTLNPQLL\
UJHYIDaG9eF5iQNZYeP_dO`cNacMcbLdbLeaKgaJh`Ixb0i`IV\
ZZ8VzHYoP_dXaUdcJpb2nd5le8jfAhhDfiFdjIblK`mNZnPXpS\
VqUTrXTuZRsZPrZNpZLoZJmZCpcIlZOhVUeQ_aMeYHkVDqR8Lk\
uc_VvO4rP6oQ7lR8iSAfTBcUC_VEXWFUXGRYIOZJL_KWObh8ue\
CtcFs`IrZLrXOqURpSUoQXoN_nLbmIelGhlEkkBnj9qi7tiArl\
CqnEpqGosInvKmxSamZzbfzSmzIdzHWzGNzFzzEzzDzzBzzAzz\
5zqhzzMzwRzgKJzDBz6zQECoY9YM6zBMefzzSzzEzzBzz8zz5z\
z2ztENeAGS79z3RsK5rG4dC4z83z4GzV`C6zz3zzCzz9zz6zz3\
zz4zz3zz9zz1PFeO`CZSHhKLrBPz3TbcEWPdXL`WNWVPRURMUT\
IRahiShyUJWE9ORkHHWA8GWKNOEHa9BA05s3Re2KT0DG06U0dN\
0UG0K94Alnz`ajQPVECFMkECN7knHXXBm_YjYVhWSXUPYOLZPJ\
_QGaSKcVNfYRi`UlbYoe`rhdukfwmezodzncyocxpcwqcwrczs\
cztczuczvhzwmzxrzyvzzzogQ }
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.
