February 11, 2012: Pentagram | Feb. 10 | Feb. 12 | 2011 | FOTD Home |
Fractal visionaries and enthusiasts:
Today's
FOTD image
is named "Pentagram". It has nothing to do with werewolves or
Satanic rituals however. The name refers to the near perfect
pentagram star surrounding the central quintic minibrot.
The parent fractal is a Mandelbrot set with Z^5 corruption so severe
that it appears even on the surface, in the form of bits of debris in
the interior of the buds, with a trace of this debris also in the main
bay. Today's image lies in the debris cluttering the north
part
of the main period-2 bud of the parent M-set.
The rating of an everyday 7 is all I could give the image.
It's
not all that impressive mathematically and it proved very difficult to
color, but despite the rating the star around the minibrot is certainly
worth a look.
The calculation time of the parameter file is just over one minute,
fast enough to keep impatience at bay and insure that little time will
have been wasted if the image bombs.
The weather took a definite turn for the worse here at Fractal Central
today. Dawn broke with heavy clouds. Showers of
snow began
at midday and continued through the afternoon, growing even heavier at
post time. The temperature hung around 34F +1C, so the
pavements
remained merely wet, but on the grassy areas the snow piled up to one
inch, 2cm. The fractal cats enjoyed the big fluffy flakes for
a
while, then retired to the warmest places they could find.
The humans, FL and I, took a short afternoon trip to a nearby antique
emporium, making it back just before the temperature dropped.
The
next FOTD will be posted in 24 hours. Until then, take care,
and
I hear that married people tend to be happier than unmarried
people. Does this mean that marriage brings happiness or that
fewer want to marry unhappy people?
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Pentagram
{ ;
time=0:01:10.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=JulibrotMulti2 function=recip passes=1
float=y center-mag=-1.054400978411/+0.062210075561\
/7.995e+008/1/-26.25/0 params=5/500/0/0/0/0/0/0/0/0
maxiter=2400 inside=255 logmap=46 periodicity=6
colors=000zzzwwotulrtnpsolroiqocpoZooTmoOloIkoDjo8\
io9fk9chA`dAYaBVZBSVCPSCMPDJLDGIEDFEABF78F45E99DDD\
CIHCMLBRPAVS9_W9c_8hc7lg5ri7pj9njBljDkjFijHgkJfkLd\
kNbkPakQ_kSYlUXlWVlYTl_SlaQmcOmeNmgLmiJmiHnjImjImj\
ImkImkImkImlJllJllJlmJlmJlmJlnKknKknKkoKkoKkoKkpLj\
pLjpLjqLjqLjqLjrMirMirMisMisMitLksMirNgqNfpOdoOcnP\
amP`lQZkQYjRWiRVhSTgSSfTQfTPeUNdUMcVKbVJaWH`WG_XEZ\
XDYYBXYAWZ8VZ7U_5U_4T`6S`7Ra8Qa9PaAPbBObCNcDMcELcF\
LdGKdHJdIIeJHeKHfLGfMFfNEgODgPChPDgQDfQDeQEeQEdQEc\
QFcQFbQFaQGaQG`QG_QG_QHYRHXRHWRHVRHUSITSISSIRSIQTI\
PTJNTJMTJLUJKUJJUKIUKHVKGVKFVKEVIHWHKXGNYFPZES_DV`\
AYbCXaDWaFW`GV`HU`JU_KT_LTZNSZORZPRYRQYSQXTPXVOXWO\
WYNWZNV_MVaLVbLUcKUeKTfJTgITiISj0Sj0Tk0Sk0Rk0Rl0Ql\
0Ql0Pm0Om0Om0Nn0Nn0Mn0Lo0Lo0Ko0Kp0Jp0Ip0Iq0Hq0Hq0G\
r0Fr0Fr0Er0Ep0Do0Dm0Dl0Cj0Ci0Cg0Bf0Bd0Bc0Ba0A`0AZ0\
AY09W09V09T08S08Y0_a0bzz0 }
frm:JulibrotMulti2 {; draws all slices of Julibrot
pix=pixel, u=real(pix), v=imag(pix),
a=pi*real(p2*0.0055555555555556),
b=pi*imag(p2*0.0055555555555556),
g=pi*real(p3*0.0055555555555556),
d=pi*imag(p3*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),
aa=-(real(p1)-2), bb=imag(p1),
c=p+flip(q)+p4, z=r+flip(s)+p5:
z=(bb)*(z*z*fn1(z^(aa)+bb))+c
|z|< 6 }
END PARAMETER FILE=========================================