FOTD -- September 07, 2012 (Rating 7.5)
Fractal visionaries and enthusiasts:
Today's image is named "Total Rectangle". I gave it this name
because every square millimeter of it lies inside a larger
rectangle. A minor outzoom will reveal the edges and near-
perfect shape of the unseen larger figure.
The image, which is oriented at an angle rotated 2 degrees from
the Julia toward the Oblate direction, has been highly stretched
and skewed to return the elements to recognizable proportions.
The square-spiral shapes filling the frame are quite common
inside Z^(2.003)+C rectangles. They remind me of something
fractal that I have seen previously, though at the moment I
cannot recall where.
I rated the image at a 7-1/2, mostly for the unusual near-
monochrome coloring, which required almost an hour to work out.
The calculation time of 3-1/2 minutes will simply fly by, at
least for those who live and breathe fractals in the fractal
multiverse in which we exist.
Be free of both calculation worries and excess pontification.
View the finished image on the official FOTD web site at:
<http://www.crosscanpuzzles.com/Archives.html>
See the image in the crystal clarity of high-definition at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
And check the thousands of back images at:
<http://www.Nahee.com/FOTD/>
After a noisy thunder-storm and lightning show at midnight last
night, fine warm late summer weather prevailed here at Fractal
Central today, with mostly blue skies, puffy white clouds and a
temperature of 88F 31C. The fractal cats spent hours gazing at
the outside world that they never get to enjoy. The humans
spent the day occupied with mostly indoor things. The next FOTD
will be posted in the proper cosmic time, but until that moment
arrives, take care, and wonder intensely about the things that
are worth being wondered about. Try to ignore the rest.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Total_Rectangle { ; time=0:03:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=slicejulibrot4 passes=1
center-mag=-0.01026601878632473/+0.001090051691336\
55/6101232/7.5631/45.6182041810158836/-19.25480371\
52274709 params=88/0/90/0/-1.7435/0.0001/0.000175/\
0.073883/2.003/0 float=y maxiter=4800 inside=255
logmap=438 periodicity=6 mathtolerance=0.05/1
colors=000wzzwzztzzrzzrwzrwzrwzrtzrtxrturrsrrprrnr\
pkppirpgrmdrmbrm_rk_rkbrkbrhbrhbrhbrfbrfbrfbrhirfd\
rfbrf_rfYrfWrfUrfSrdQrdOpdKpdIpdGndFnbDk`BkX9kV8iT\
6iO4fO2fO0dO0dO0dM0bM0bM0_F0_F0_F0XF0XF0VF0VF0VF0T\
A0TA0RA0RA0PA0RA0RA0RA0RA0RA0RA0RA0RA0TA0TA0TA0TI0\
TI0TI0TI0TI0VI0VI0VI0VI0VN0VN0VN0VN0XN0XN0XN0XT0XT\
0XT0XT0XT0XT0_R0_R0_R0_R0_R0_R0_R0_R2bP2bP3bP3bP4b\
P4bP6bP6bP8dO8dO9dO9dOBdOBdODdODdOFfPDdOFdOGdMGbMI\
bMIbKKbKK_KM_IM_IOXIOXHQXHQXHSVFSVFUVFWQDKODKODKOC\
KMCKMCKMBKMBKKBAK9AK9AI9AI8AI8AI8AG8AG8KG8KG8KE8KE\
8KE8KC8KC8KC8KC8KA8KA8KA8K88KA8KA8KF8gF8dH8dH8dH8d\
H8bJ8bJ8bJ9_J9_LB_LC_LCYLDYNFYNFYNHgNIgPIgPKdPMdPM\
dROdRPbRPbRRbRT_TT_TV_TX_TXYVZYVRiVRiVTgXVgXVgXXdX\
Zd_Zd_Rd_Tb_TbbVbbX_bX_bZ_d`_d`YdbYddYbhWdfYddYdbY\
d`_dZ_dX_dVbfbbf`bfZbfZdfXdfddfbgi`giZgiXgiViiTiiR\
iiRkkPkkOkkMnkKnkInkHnJZQ }
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=========================================
FOTD -- September 09, 2012 (Rating 7.5)
Fractal visionaries and enthusiasts:
We have found the strange Z^(2.003)+C rectangle in the Julia
sets and in the Mandelbrot set. But what about the four
remaining perpendicular directions through the Julibrot? Well,
as today's image shows, the rectangle also appears in the Oblate
orientation, where, with the proper stretching and skewing, it
makes quite a striking appearance.
At first glance the image appears to have origin symmetry, but a
close inspection will reveal that the symmetry is only apparent,
and not exact.
I named the image "Oblate Rectangle" for the obvious reason.
The rating of a 7-1/2 includes the usual bonus for my coloring
work, which creates a good part of the overall effect.
The calculation time of 3-1/2 minutes might seem slow to those
who are growing bored with rectangles. The web sites bring
total relief from boredom however.
The next three FOTD's will feature the rectangle in its
remaining three aspects. Then we'll move on to other fractal
wonders.
The completed image is online at:
<http://www.crosscanpuzzles.com/Archives.html>
A high-definition rendering is at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images are at:
<http://www.Nahee.com/FOTD/>
A near perfect day prevailed here at Fractal Central today, with
a temperature of 75F 24C and a Photoshop (aka Kodachrome) blue
sky dotted with small, puffy white, chamber-of-commerce cumulus
clouds. The fractal cats enjoyed the outside conditions from
inside, spending much time on the shelf in the southwest window,
where the sun, at its lower angle, is again starting to come in.
The humans made it through the day without incident. The next
FOTD image will be posted in 24 hours. Until then, take care,
and, if the world is a dream, then the evidence that it is a
dream is also a dream.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Oblate_Rectangle { ; time=0:03:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot4 center-mag=0/0/3620/\
0.01375/0/-77.0000000000000995 params=0/0/90/0/\
-1.7435/0/0.000175/0.073883/2.003/0 float=y
maxiter=72000 inside=0 logmap=54 periodicity=6
colors=000K8aKAcKCeKEgKGiKIkKKmKMoIOqGPsEQuBQwDRvE\
RuGSuHStJTuKTvLTwNUxOUyQVzRVzSVzUWzVWzXXzYXz_Yz`Yz\
aYzc_zd`zfbzgcziezhezhdzgbzgazg_zfZzfZzeXzeWzeVzdU\
zdSzdRzcRzcQzbPzbQzbSzaUzaWzaYxc_ve`tgaribpkcnmdmj\
ehgfdeg_bhW`iSYjN_kJblEemAho6kqMnsaquVtwPwyJzzDwwK\
tuQqsknqWkoihmwekubis_gqXeo_crRanI_k9`g0if1gd1eb2d\
`2bZ3aY3_W4ZU4XS5VQ5UP6SN6RL7PJ9RH7SI6NJ4JK0EL3KL5\
QL7QL9RLBRLDSLFSLHTLJULIVKHWJGZIFaHEdGEgFFfIGfKHfM\
HeOIeQJeSJeUKdXLdZLd`MdbNcdNcfOchPbkPbmQboRbqRasSa\
uTawTayDczCczCczCczCczBczBczBczBczAczmZzmZzmZzmZzm\
ZzmZzmZzmZzmZzmZzmYzmXzmWzmVzmUzmUzhPNkPOnPPpPPmOM\
mOKmNImNFmMDmMBmL8mL6mK4mK2mJ6mI9mHDmGGmFKmENmERmD\
UmCYmB`mAdm9gm6km9jmBimDimGhmIhzKgzMgzPfzRfzTezVez\
Ydz_czaczdbzfbzhazjazm`zo`zq_zuZzs_zq_zo`zn`zl`zja\
ziazgbzebzdbzbcz`czZdzYdzWdzUezTezRfzPfzSfzRgzQizP\
jzNkzMmzLnzKozIqzHrzGszDs }
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=========================================
FOTD -- September 08, 2012 (Rating 8)
Fractal visionaries and enthusiasts:
Today's image is part of the Julia set of a rectangle in the
Z^(2.003)+C Mandelbrot set. Surprisingly, there is no rectangle
at the center of the image, but rather an octagon with in-curved
sides. The Julia set of a rectangle would normally be expected
to be another rectangle, but fractals, like so many theories of
modern physics, do not always do the intuitive things. For some
reason, objects that appear as rectangles in their Mandelbrot
aspect appear as octagons when viewed in their broader Julia
aspects.
This Julia doubling is not actually so surprising, considering
that the Julia sets of the Mandelbrot radical 'stars' have
double the number of arms as the Mandelbrot stars themselves.
Thus, the Julia set of the two-branched star located around
-1.543 on the main spike of the M-set has four main branches.
The name "Truncated Rectangle" is another way of describing an
"Octagon", which to be more precise, is a truncated square.
I rated the image at an 8, due mostly to the coloring, which is
a combination of my efforts and a random shot of the Fractint
program.
The calculation time of 4 minutes borders on slowness, but at
least IMO, the image is worth the effort. And the web sites can
remove even most of that effort.
So take life easy. View the finished image at:
<http://www.crosscanpuzzles.com/Archives.html>
And experience the thrill of high definition at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
Finally, check the past at:
<http://www.Nahee.com/FOTD/>
The pleasant late summer weather took a break here at Fractal
Central today, when heavy clouds moved in, followed by lively
thunder-showers. The temperature of 84F 29C felt warmer than
usual due to the high humidity. The fractal cats got into a bit
of a spat when they both wanted to lie on the table beside my
favorite chair, but reason finally prevailed and they agreed to
share the space with tails thrashing in unison. The next FOTD
is soon to be posted. Until whenever that might be, take care,
and if we only go around once in life, as conventional wisdom
says, then when do we get to use the lessons we have struggled
so hard to learn during our time on earth?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
TruncatedRectangle { ; time=0:04:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot4 center-mag=-0.000021470\
16991775/+0.00000106606499224/269396.1/1/-12.5/0
params=90/0/90/0/-1.743492647282116/2.074078440319\
529e-008/0/0/2.003/0 float=y maxiter=3200 inside=0
logmap=994 periodicity=6 mathtolerance=0.05/1
colors=000BBCFFHIINLMSOR`RWfUZmW`wYdz`gzcjzfmzirzm\
vzrzzmszhmzccpZUfVKUSJKPJPMIVJI_GHeDHjccEYgOTjXOmf\
JpoLiiNbdOW_QQURJPTCKU6FfDScLO`TLY`HVhESpAQw7cVMp3\
`bVfQvkPqlOmlNimNemQhlSkkUnjWhfXcbYZZ_UV`PRaKNZLKW\
LHTMERMBON8LN5IO2GO0HL9IIIJFRKC_LAhXDihGjsJkmPhhVf\
c`dZfbnLPkQUhVYf_acce`hjZmnWrrUvvdbmoJdkIXgIPcIH_I\
AWNHSRNPWTL_ZIddEhjBlpLngVoZdpQmqInkGofFpaEqXDrRBs\
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ipVao_VndNmiGln8ks1kt3kt4ku6ku7ktDhsJesPcrV`r`ZqfW\
qlUhiY`gaSeeKciBam3_p7XoAUnDRmGOmJLlMIkPFjSDjTAfU7\
bV5ZW2VW0SX4VGJV5PK8JEBE8 }
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=========================================
The image of my best friend had a heart attack and damn i can swear that i
see something pass thru fractal, a fish and a H for hospital.
having a little nerve attack also. Anyway we are mostly all interconnected
doing fractal and i wonder the silence from master?>: time
for me to let the calculus go wild, here a electronic spider in her nest,
pretty she moslty eat elephant form the presence of elephant part
around her.... worry, calculate it with caution (i laught)... spider are
interesting fear generator my girl friend scream on their sight?!
--
most attached file or result are positively balance at
https://sites.google.com/site/sinpix12823/fractint
site closed and navigation in function
https://sites.google.com/site/sinpix12823fractal/
join me at sinpix12823(a)gmail.com
start parameter file============================================
electro_spider { ; 09_09_2012
reset=2004 type=formula formulafile=2012_6_1.frm
formulaname=zerodivision function=sin
center-mag=-1.57080212909000700/+1.08799124248136700/2014.742
params=-0.1365184484389783/-1.374217963194678/1/0 float=y inside=0
colors=000<4>000000000<2>000000222<6>JJJLLLNNN<3>XXX___ccchhhmmmssszzz00\
z<2>j0z<8>J0QG0LD0H<3>000<2>C86<8>C43C32C32<3>C00<8>cR`fUeiXi<3>vhzzhz<3\
>zhh<3>zzh<3>hzh<3>hzzhuz<8>rOzsKzuGz<3>z0z<8>d8ea9c_Aa<3>PES<8>j6Cm5Ao4\
8<3>z00<9>cEDaGEZHFXJHVKISMKSOKSQKSSK<2>MSKKSKKSMKSOKSQKSS<2>KMS00G<3>G0\
G<3>G00<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG8AG\
88G8<2>8GE8GG8EG8CG8AGBBG<2>FBGGBGGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2>BG\
FBGGBFGBDGBCG000<6>000
}
frm:zerodivision{;sinpix
a=real(p1^0.7071067),b=imag(p1/1.4142135624),d=p2/16^0.1354
z=0.1354*0.707106^2,c=fn1(pixel):
s=z^2+c
y=z*a+c^b
x=z*d+z^3
z=x-y-1^(s-z)
|z|<1974
}
end parameter file=====================================
Psychedelic, can you see the visage? the mandelbrot?
a complex exchange is going on down their !!
i stick a long time with a broken x form that i was trying to make clear
but it keep changing into box.
then i decide to concentrate on the energy include in it.
pretty energycal reaction put moste time on the color mapping.
--
most attached file or result are positively balance at
https://sites.google.com/site/sinpix12823/fractint
this site is in error but the navigator is super
https://sites.google.com/site/sinpix12823fractal/
join me at sinpix12823(a)gmail.com
start parameter file============================================
captain_watch_nd_c { ; 07_09_2012
reset=2004 type=formula formulafile=2012_6_1.frm
formulaname=zerodivision1 function=sin
center-mag=+1.10521451814768600/+0.48363005008347250/401.8001
params=1/2/0.1/1 float=y inside=0
colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLL<8>Q99L88H66<3>000<8>30U40\
X40_<3>60m<3>90gA0eB0e<7>L5cN5cO6c<3>U9aW5cZ0e<8>`Sj`Vk`Yl<2>afnbjoden<3\
>mQkoLjqHi<2>w5fz0ez4e<7>y_dxcdxgd<3>wxc<7>UeHQcFMaC<3>7S00S0<3>0SS0LS<8\
>0fl0hn0kp<3>0uz<9>HXcJVaKSZMQXONVQKSSKS<2>SKMSKKSMKSOKSQKSSK<2>MSKKSKKS\
MKSOKSQKSS<2>KMS00G<3>G0G<3>G00<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8GG8GG8EG8\
CG8AG88<2>GE8GG8EG8CG8AG88G8<2>8GE8GG8EG8CG8AGBBG<2>FBGGBGGBFGBDGBCGBB<2\
>GFBGGBFGBDGBCGBBGB<2>BGFBGGBFGBDGBCG000<6>000
}
frm:zerodivision1{;sinpix
a=real(p1^0.7071067),b=imag(p1/1.4142135624),d=p2/16^0.1354
z=0.1354*0.707106^2,c=fn1(pixel):
s=z^b+c
y=z*a+c^b
x=z*d+z^3
z=x+y-1^(s*(z-1))
|z|<1974
}
end parameter file=====================================
dear fractint community letter M will now get ritcher than ever, use it in
your formulation, rated 9 and for the thrut i'am confortably happy to tell
you all than i'am the best today altought and still a little beer buzzed?
fly go away and hapiness is findable thru the letter M, like chocolate feed
hem eat hem love hem... or like sardine in cube... for respect it soon
going to be the time for eating animal proteine?! try it some are really
tasty! new trend new era~~!
--
most attached file or result are positively balance at
https://sites.google.com/site/sinpix12823/fractint
this site is in error but the navigator is super
https://sites.google.com/site/sinpix12823fractal/
join me at sinpix12823(a)gmail.com
start parameter file=========================================
MMMMMMMMMMMM { ; 06_09_2012
reset=2004 type=formula formulafile=2012_6_1.frm
formulaname=leafy_leafy
center-mag=-0.29068276727879830/+0.00005506883604479/569.9954/1/-90/3.88\
578058618804789e-016 params=0.2/2 float=y inside=0
colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzzzLzzz000555<3>HHHKKKJJ\
M<7>99h77k66n<2>22w00z04z<7>0`z0ez0iz<3>0zz<2>0GzVVz<3>zVz<3>zVV<3>zzV<3\
>VzV<3>Vzz<2>Vbzhhz<3>zhz<3>zhh<3>zzh<3>hzh<3>hzz<2>hlz00S<3>S0S<3>S00<3\
>SS0<3>0S0<3>0SS<2>07SEES<3>SES<3>SEE<3>SSE<3>ESE<3>ESS<2>EHSKKS<2>QKSSK\
SSKQSKOSKMSKK<2>SQKSSKQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3>G0G<3>G00<3>GG\
0<3>0G0<3>0GG<2>04G88G<2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG8AG88G8<2>8GE8G\
G8EG8CG8AGBBG<2>FBGGBGGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2>BGFBGGBFGBDGBC\
G000<6>000
}
frm:leafy_leafy{;sinpix
a=real(p1),b=imag(p1^2),d=a/b-2
z=1.4142^0.707106,c=pixel:
s=1/(z^(-1))+a*c
x=z^2+c
z=x*(4*s)^a-b+pixel^2
|z|<1974
}
end parameter file===================================
FOTD -- September 06, 2012 (Rating 8)
Fractal visionaries and enthusiasts:
Today's image is another trip into the Z^(2.003)+C Mandeloid.
Or perhaps it would be more proper to say one of the Z^(2.003)+C
Mandeloids, for like so many other things in the world of
fractals, there are an infinity of Z^(2.003)+C Mandeloids.
In today's case the parent Mandeloid is the one that appears
when Z^(2.003)+C is iterated 0.00941066196782 levels down the
hyperladder with no function applied. This parent fractal is
much like the 'normal' one, but the two branches of the main
spike are spread a bit wider, and the large minibrot is broken
into two totally separate and unusually distorted ones. Today's
scene is located in an un-named valley of the northern minibrot.
The point at a mere 0.00941066196782 levels down the hyperladder
might appear unusually fussy, but it was carefully chosen. This
is the point where the parent fractal has perfect X-axis
symmetry. The symmetry probably has no special significance,
but being of an artistic nature, I prefer the symmetry.
Surprisingly, no open rectangles lie in this area, (at least, I
have not yet found any), but there are geometric open holes
aplenty. Today's little minibrot lies in the middle of a field
of these holes.
The rating of an 8 indicates an above-average image that might
have been better if I had put a little more time into the
coloring. The name "Broken Rectangles" refers to the twisted
quadrilaterals that might have once been rectangles. The
calculation time of 2-3/4 minutes is about average, and should
cause little restlessness.
Check the finished image at the official FOTD web site at:
<http://www.crosscanpuzzles.com/Archives.html>
with a high-definition rendering at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back FOTD's are available at:
<http://www.Nahee.com/FOTD/>
A mix of sun and clouds, and a temperature of 82F 28C made today
quite pleasant here at Fractal Central. The fractal cats were
puzzled about being locked out of their favorite spare room,
where a new window was being installed. The next FOTD will be
posted in due time. Until whenever, take care, and do we really
believe that something as complicated as the DNA molecule could
have evolved spontaneously and totally by accident in 13-billion
years? . . . Or do we really believe that some super being
intentionally designed it in some multiverse laboratory?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Broken_Rectangles { ; time=0:02:45.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident
center-mag=-1.750919845393386/+0.0200660824764789/\
1.419367e+008/1/-107.5/0 params=2.003/0/-0.0094106\
6196782/0 float=y maxiter=2500 inside=0
logmap=291 periodicity=6
colors=000YdYXbXU_VSXTQSRNNPLJNJELB9J04Hi2Bd1C_1DV\
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zcczcczczzczzczzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)+PI-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z)>r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z|<a }
END PARAMETER FILE=========================================
FOTD -- September 05, 2012 (Rating 8-1/2)
Fractal visionaries and enthusiasts:
Today's image in the Z^(2.003)+C Mandeloid is named "Rectangle
Minutiae". I gave it this name because even though it is a
Mandelbrot image, it is filled with minute 'Julia' rectangles.
The largest rectangles appear as the four symmetrically-placed
brilliant white spots in the detail surrounding the central
minibrot. A quick in-zoom will reveal their rectangular nature.
All the smaller rectangles lie closer to the minibrot.
Most of the coloring effect was achieved by rendering the scene
with the outside set to 'tdis', which colors the points
according to how far they have traveled before escaping. My
part in the coloring added only one-half point.
The overall rating of 8-1/2 includes my part in tweaking the
color palette, which was basically created by the Fractint
program.
This area of the Z^(2.003)+C Julibrot appears to hold limitless
interesting scenes, so I'll stick with it for a few more days
before moving on.
The calculation time of 4-1/2 minutes borders on slowness, but
this is where the web sites do their thing.
View the finished image at:
<http://www.crosscanpuzzles.com/Archives.html>
See a high-definition rendering at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
Check the back images and discussions at:
<http://www.Nahee.com/FOTD/>
Early morning rain was followed by a mix of clouds and sun,
lower humidity and a temperature of 82F 28C here at Fractal
Central today. The fractal cats made the most of the outside
conditions from the inside, while the humans finished the day's
tasks then took it easy. The next FOTD will be posted in the
proper time. Until whenever, take care, and never stop fighting
to bring about peace on earth.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Rectangle_Minutiae { ; time=0:04:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=slices.frm
formulaname=MandelbrotN center-mag=-1.743492647292\
163/+0.00000002073861457/7.23e+010/1/92.5/0 float=y
params=2.003/0/0/0/0/0 maxiter=6400 inside=255
outside=tdis periodicity=6 mathtolerance=0.05/1
colors=0000009M98J86G65D5494262131yMvvKssJppImmHjj\
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A53A439429418318408507927C47A67B8CIA9CC6OE6QF6SH6U\
J5XL5ZN5`P5bR5dT5fU6eWzzz }
frm:MandelbrotN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=z^(b)+c,
|z| <= 16 }
END PARAMETER FILE=========================================
