FOTD -- November 01, 2010 (No Rating)
Fractal visionaries and enthusiasts:
Today's image was created in the same manner as the image of
three days ago -- the `Offside' image of October 29 -- though
instead of going off from the center of the period-2 bud in the
Rectangular direction, we go off in the other perpendicular
direction, the Oblate, until we reach the edge of the Julibrot.
By some very curious coincidence, in this direction the Julibrot
ends on the real(Z) axis at a distance of plus and minus
1.61803...., which strangely enough is the golden ratio.
Since today's image was created in the same manner as the
earlier image and is a virtual repeat, I declined to give it a
rating. The name "Maximum Credulity" came to mind Sunday after-
noon while I was watching a skeptical show about the existence
(read non-existence) of the supernatural.
Perhaps the best feature of today's image is its fireball-fast
calculation time of 5-1/2 seconds, which guarantees that
virtually no time will have been wasted if the image fails to
inspire awe and wonder for natural numbers.
Viewing the finished image on the FOTD web site at:
<http://www.Nahee.com/FOTD/>
will involve no wishful thinking, and will also guarantee that
no time will be wasted if a let-down happens.
Blustery conditions, accompanied by dark wind-shredded clouds
and a temperature of 54F 12C made Sunday a typical autumn day
here at Fractal Central in central Pennsylvania. The fractal
cats had their thrill when a pigeon landed on the outside of
their lookout window, only inches from Nicholas' hungry jaws.
But as soon as Nicholas made his move, the pigeon flew away,
leaving Cassie to wonder what all the tail thrashing was about.
My day was average, even though the FOTD turned out to be below
average. The next FOTD, an improved one to be sure, will be
posted in 24 hours. Until then, take care, and only the credu-
lous believe in ghosts. Since I do believe in ghosts, I guess
that makes me credulous as well as superstitious.
Jim Muth
jamth(a)mindspring.com
START PARAMETER FILE=======================================
Maximum_Credulity { ; time=0:00:05.32-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot4 center-mag=+0.000039265\
06831894/0/176501/0.0009777 params=0/0/-24.095/0/-\
1/0/1.61803/0/2/0 float=y maxiter=1500 inside=bof61
periodicity=6
colors=0004_q3Rc2IR19DCAv65TdBXR7MD3BJdO9KC00Z00W0\
0S01O02L03I04F059066084m61scXmL`zAI0CkBne5PL4CzyZf\
VHL6EC498244otQYaHHJ8RGBKC8D856428qmUjdKVRAFDs_IeR\
DSI9E94h_tUOaFCJG7sC5e83S41EES77E36Bj47V23Fw7Iw2RT\
xmLh`EUP7FCeakSPWECGZW`QORHGI889hZJCE08904407cZ5UQ\
3KH1A8LM9FG6AB4552s8b`5QI2DEq27R1HKaK_DDO86C4UDcM9\
UF6K73AyS34LR3FK2AD156_rlIRO2ab1ST1JJ099Q7tD3SQPXA\
3Y72P51H208_jivj5bV3JF16`94O62C3zPjjIZVCNF6BOEr8LZ\
enLLPAd33U22K11A00w2`h1RU1IF09pWbH1dLQOEHG788o4vY2\
bH1Jqlnc_aROPDCCZm4HP2hTqTKNLFHEAB755txleh_SUOEFCX\
XxGGUlCa_9SO6JC39AT`6JO39CTY8EH4TtrESRiwgs2Pf4NW3H\
L2BA15iGNYCHN8BB45smze`jSPVECF80fKkNJoTHsZGvdCic8X\
b4Ka18aG7XV6Si5Nx5IpMRia_bqgjeeqUcxIatOSpUIm_8fL1S\
D2E537yk4dW2KGAkv6Wb3GJBHy7Bd35K4tNRooDQQE9KTwXLhO\
EUG7F8uMbTBJAum5TPaDbJ6JLrdARKUwEKc9AK4v3xg2hT1UE0\
FZypNdZBKHx8XU4GLqfE_S7IE }
frm:SliceJulibrot4 {; draws all 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), esc=imag(p5)+9
c=p+flip(q)+p3, z=r+flip(s)+p4:
z=z^(real(p5))+c
|z|< esc }
END PARAMETER FILE=========================================
