|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Today's strange image shows a kilroy-like alien head peering over the bottom of the frame. The top part of the image shows fractal stuff on the way to becoming a fractal tree. Combining both, I named the image "The Bug-Eyed Tree". The image is actually a near-Julia set of the (-Z)^sqrt(2)+C Julibrot. Actually, the slice is oriented 0.02 degree from the Julia direction toward the Oblate direction. This tiny rotation is quite important. To see how important, change the real (p1) parameter to 90 and do a thumbnail fractal. I rated the image at a 6. I have seen a few too many of this type of image to rate it any higher. The calculation time of under 3-1/2 minutes is rational, for all this is worth. The finished GIF image is available on the FOTD web site at: Heat, haze and humidity moved back into the Fractal Central area on Friday. As the temperature reached 88F 31C, the fractal cats sought the cool air vent. My day was acceptable; the fractal, a bit goofy. The next fractal, goofy or not, will be posted in 24 hours. Until then, take care, and why must all space aliens have bug-eyes? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
The_Bug-Eyed_Tree { ; time=0:03:28.90-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=SliceJulibrot5 logmap=20 periodicity=10
center-mag=0.190223/0/15.24794/0.8869/90/0 inside=0
params=89.98/90/90/90/-1.124575/0/0/0/1.4142/0
float=y passes=t maxiter=3600
colors=000KKVKKUKKTJKSIKRHKQGKPFKOEKNDKMCKLBKKAKI9\
KG8KE5KA2K73K93KB3KC3KE4KG4KH4KJ2KG4KK6KO7LS9LVBLZ\
CLbELfEHlFJjFLiFNhFPgFRfFTeFVcFVbFVaFT`FR_FQbFO`FM\
ZAKY6KW2IV4JT6KS8LRAMQCNPEOOGPNIQMKRLMSKOTGNSJNRMN\
QONPRNOTNNWNMYML`MKcMJeMIhMHjMGmGEkJFmMGoPHpSIrVJs\
SLqQMpNNnLOmIPkGQjERiBSg9Tf6Ud4Vc2Wb5Uc7ScARdCPdFN\
eHMeKKeMIfPHfRFgUDgWCgWBfWBfWBeWBeWBdWAdWAcWAcWAbW\
AbW9aW9aW9`W9`W9`NRbEgd6xfAq8Do9GmAJkBLjCOhDRfETeF\
WcGZaH``IcZJfXKhWLkUMnSNoLOpROpXOqaOqgOeOmtkMqlOol\
QmlSklUimWgmYem_bma`mcZneXngVniTnkPuvQqqRnlSjhSgcT\
c_UcVVcRVcMWcIXcDZc9`c6bb6dc6fd6gf6gg6gh6hj6hk6hl6\
in6io6ip6ns7io6di6`a5WU5PC1RI3SL5TP7VU8WYAXbCZhD_n\
F`uH_wWazKenPldUhcZdbc`ahcamf`ri_wlVzmXzn_znazoczp\
fzpizqkzrnzrpzuuzvwzzzztvzsszqovokrnhmmehmcdlbblb`\
kb_kaYjaWjaVj`Ti`Ri`Qh_Oh_MlYHjZJh_Lf`NdaPbbR`cSZd\
UXeWVfYTg_RhazYxgcmPhb3pR }
frm:SliceJulibrot5 {; draws slices of (-Z)^n 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=========================================
|
times.
