FOTD -- April 17, 2014 (Rating A-7,M-9)
Fractal visionaries and enthusiasts:
Today's image lies at the western edge of yesterday's morphing
minibrot. It is the most striking example of an area of
antibifurcation that I have yet found, and this is exactly what
I have named it.
My definition of an area of antibifurcation is the exact
opposite of the area surrounding a minibrot. Instead of the
maxiter increasing toward the center, it decreases, while the
number of elements is cut in half instead of doubling.
When we zoom into a minibrot that lies in the basin of
attraction of a larger minibrot, the doubling of the surrounding
elements often reaches a maximum, then resets itself to a
smaller power of two and resumes doubling from there. This
resetting is sometimes referred to as antibifurcation, though I
prefer the term resetting.
In today's image the art rates a 7, since I see nothing
unusually striking in the picture. The math however rates a
superior 9, since the entire scene appears to be inside out,
with even the colors cycling in the wrong direction.
It takes 6-1/4 dragging minutes for the image to finish, a time
that could lead some to become impatient and miss the incredible
antibifurcation. So if impatience strikes, don't forget the web
sites.
Find anti-impatience by viewing the finished image on the FOTD
web sites at:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
Glorious sunshine poured down on Fractal Central today, while
the temperature of 55F 13C made the outdoors at least a little
better than yesterday, though well below the normal high of 66F
19C. The fractal cats wished for further improvement, but the
humans made it through the day with no major problems.
The next FOTD will be posted in a certain period of time. Until
the certainty becomes more specific, take care, and let's live
life to the fullest while we're here. After all, we only go
around a couple hundred times.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Antibifurcation { ; time=0:06:15.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-2 function=recip
center-mag=-1.777252088172983/+0.00042575899897272\
/1.721917e+012/1/-85/0 params=13/1e+055/0/0 float=y
maxiter=12000 periodicity=6 mathtolerance=0.05/1
colors=000koplqrlsumuwmvzmuzlszkqwipthoqgnmfmidkhc\
ihbggaff_eeZddYcdXbcVabU`aT_aSZ`QY_PXZOWYNVYLUXKTW\
JSVIRVJQUKPTLOSMNRNMROLQOKPPKOQKORLNSMMTNLTOLUPKVQ\
JWRIXRIYRHYRGZRF_RF`REaRDbRC`PAbRCcTEdUGeWIfXKgZMi\
_OkaQmbSodUqeWsgYth_ujavkcwmeunftlfskftifthfuffuef\
udfvbfvafw_fwZfxXfxWfxVfyTfySfzQfzPfzLczOfzRhzUjzX\
lz_nzbpzerxfpvfnufmsfkrfipfhngfmgekgcjgahg`ggZegYc\
gXagW_gUYgTWfUUfWSfXQfZOf`MfbKfcIfeHfgGfiGfkFelEdn\
EcpDcrCcsCcuBcwAcyAczEcyHcxKcxOcwRcwUcvYbu`auc`tf_\
tdZrbYqaXp_WoYVmXUlVTkTSjSRhQQgOPfNOeLNcJNbIMaGM`E\
LZDLYBKX9KW9JX8IY8HZ8G_7E`7Ca7Bb7Ac69b68a67`66_55Z\
54Y53X52W41U40Q40M40I30F30C30930630540430321232343\
4545656767878A89C9AEABGACIACKADMAEOAFQAGSAHUAIWAJY\
AK_ALaBLcCMeDNgEOiGPkIQmKRoLSqMTsNUzPNwNUuL_sKeqIk\
oHqmIrkJriKsgLseMscNtbOtbPucQucRudSvdTvcSwdUveWueY\
uf_tgatgcsheshgriiqjkqjmp }
frm:FinDivBrot-2 { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }
END PARAMETER FILE=========================================
FOTD -- April 16, 2014 (Rating A-7,M-7)
Fractal visionaries and enthusiasts:
Today's image shows an order-13 minibrot just beginning to feel
the effects of the quadratic aspect of the parent fractal, which
on the surface is an everyday Mandelbrot set. Today's scene is
located in the northern branch of Scepter Valley of the large
minibrot on the main spike of the parent M-set.
The name "Metamorphosis" simply points out that the central
minibrot is starting to change from an order-13 minibrot into a
quadratic one.
The image is filled with hills of 'antibifurcation' one of which
will appear as tomorrow's fractal image.
Neither the art nor the math aspects of the image are
overwhelmingly exciting, which prevents me from rating either of
them any higher than a 7. And the calculation time of 4 minutes
is definitely on the slow side. Considering all this, checking
the finished image on the web sites could be the best choice.
So enjoy calculation freedom. Check the web sites at:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
After a morning low of 25F -4C, the temperature rose to an
afternoon high of only 46F +8C. The fractal cats were unhappy
about the chill and even more unhappy about the angle of the
sun, which now merely skims the edge of their shelf. The humans
kept busy doing the usual boring stuff.
The next FOTD will be posted in about 24 hours. Until then,
take care, and wonder what comes next.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Metamorphosis { ; time=0:04:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-2 function=recip float=y
center-mag=-1.777252088186267/+0.00042575900154386\
/1.608245e+010/1/-167.5/0 params=13/1e+055/0/0
maxiter=2250 inside=0 logmap=748 periodicity=6
colors=000ARcARcARcARcAQdAQeARfARf6Qf0Qg0Pe1Pc2Oa3\
N_4MY5LV6KT7JR8IP9HNAGKAFKAEKADKACKABKAAKzzzxgphYd\
TOTEFHDJTCNcBRoBUzGXrK_kObdSdYZGfdML0L5AFLJ9`S4pQ9\
cODSNHGJFWGEkLRZQcNUoBSlCRjDPgEOeELc9Ia4G`0F5Nb8Qy\
ASt8Qo6Pj4Oe2Nf3Kf3If4Gf4ELcTTSZ_Hcf6h63FW4XL3MA1B\
Oj7BX_6wK4cD2K62gjh5wX3hM2UB1FfVLSKEEA7OMPCBC4Ci39\
Y26N13BG7EC5A837413sBreJskzZ_jQOVHCF8SQgfJwL9UQDtJ\
9eD6S63ETNCLH9EB6753sylei_SVOEFCT19SP0IG0980FWBAL7\
5A3j80YjEPZAHN78B3PuXIfOCTG6E8EIp9OK6GD386WzTOjLGV\
E8F7yRv59kWIZG9HcO5UI3KC2A61P6BG28A15502xKgcDTK6EB\
Nc8HU5BK25AmTATCBflKW_FLOAAC5rFHdBCR78D34VI0KC0A60\
x6PIdxCRc6DKmmmVVW2L61F41A3051ETXALO7EG378hjGlvTOT\
EJPfEIW9CL46A8BZ45HediLKNhO3UG2zcUm052m0AUg7hLOMFk\
CpVa6NS4FJ3791QCED674w92cz1K3Uz8Uz6Uz4Uz2UzeUzYUzP\
UzHcz8czNczHczBcz5czVczZczgmzXmzMmzBmzRmzKmzDmz6mz\
UwzVwzFwzjwzNwz6wz3wz2wz1 }
frm:FinDivBrot-2 { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }
END PARAMETER FILE=========================================
FOTD -- April 15, 2014 (Rating A-7,M-7)
Fractal visionaries and enthusiasts:
Today's image is located very deep in the chaos just beyond the
large minibrot on the main spike of a Mandelbrot set severely
corrupted by cubic energies.
I named it "An Unexpected Answer" for no logical reason. And
why not? Fractals have no logical reason for existing in the
first place.
The art and math aspects both rate a satisfactory 7, which will
seem even more satisfactory when the image finishes calculating
in a fireball one minute. The fire may be avoided by viewing
the finished image on one of the FOTD web sites.
The finished image is posted at:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
Heavy clouds and steady rain spoiled any slim hopes of outdoor
activity here at Fractal Central today. The temperature fell
from a high of 68F 20C at 6am to a low of 36F +2C at post time,
with a forecast low tonight of 23F -5C. The fractal cats
disapproved heartily of the sudden chill and asked for an extra
treat of tuna to raise their spirits. The fractal humans, still
with doubts that the right suspects were apprehended in the
Boston bombing, were rather morose today, the day of the first
anniversary.
The next FOTD will be posted in the near future. Until then,
take care, and rest easy. Big Brother is on watch.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
AnUnexpectedAnswer { ; time=0:01:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-2 function=recip passes=1
center-mag=-1.758504139876508/+0.00115251247691806\
/9.417661e+012/1/144/0 params=3/25/0/0 float=y
maxiter=360 inside=0 logmap=104
periodicity=6 mathtolerance=0.05/1
colors=000B00D00F00H00K00N00Q00T01W02Z03a04c35e66g\
87iB8jD7lG6mI6nL5pO4qQ3rT2tV1uYAv_KqeUmkcimmerzivz\
mzvmzrmzmrzhwzcwmZwcVOUTMKRKAOM0MK0KK0NNHPUIRWJUYJ\
W_KYaL`dMbgNdjNgmUirZkvcnzhzzjzzpzzzfmZziaWgdRffLe\
iGdlAcn5bK_`KY_KWZKVXKTWKSVKQTKOAKNAKLAKKAKIAKHAQG\
AOGPMFQKFQIFRGEREESCDSADT8DT6CU4CU3CU3BT3AT28aVP`X\
ObZMc_Ld`KeaJfbIgdHheGifFkgDlhCmjBnkAol9pm8qn7ro6o\
lBmiGjfKhcPz`TzYYzVazSfzPjzMozKszQlzVez_ZleSqjLvoE\
qnCmmBimAdl9`k8mk7mj6mi5mi4mh3mh2mfEmdPzc_zcjzcuzo\
pzloziozfnzcnzcmzcmzclzclzckzckzcjzcjzcjzcdzc_zcVz\
cQzcLzrGrxBswDsvFsuHstJssLsrNsqPspRsmTsmVsmXsmZsm`\
smbszcozblzahzaez`bz_Zz_WzZSzZPzYMzXIzXFzWCzWFzXIz\
YKzYNzZQzZSz_Vz_Yz`_z`fzbmzdtzfzzgwzfuzfszeqzeozem\
zdkzdizdgzcezcczcazb_zbYzb_zdazfczhezigzkhzmjzolzp\
nzrpztrzvszwozpkzipzmuzqzztfzbNzL3z34z85zD6zI7zN8z\
S9zXAzaBzfCzkCzoDzmEzlFzj }
frm:FinDivBrot-2 { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }
END PARAMETER FILE=========================================
FOTD -- April 14, 2014 (Rating A-7,M-7)
Fractal visionaries and enthusiasts:
Today's scene in the Mandelbrot set has been dredged from the
surrounding chaos, which is why I named it "Buried in Chaos".
To find the scene, start at the center of the large period-3
northern bud of the M-set and travel north through the smaller
buds until you reach the filament. Then set out along the
filament until you come to the point where it branches into two
filaments. Take the western branch until you reach the large
minibrot. Advance to the large western bud of the minibrot and
check the chaotic northwestern shore line of this bud. Search
for a certain smaller minibrot buried in this chaos, then zoom
in on the northern branch of its Seahorse Valley. Today's scene
lies in this valley.
If you are still not lost, you will find the tiny minibrot at
the center of today's image surrounded by apparently featureless
chaos. At first glance, the scene looks hopeless, but proper
coloring will reveal the almost totally hidden features that are
visible in today's scene.
The art and math both rate a 7. The art earned its points
because of my extra efforts, the math, because the area is
usually passed over.
The image finishes in a speedy 2 minutes, but this time will
vary widely on different machines. For an insignificant
increase in resolution, calculate the scene using arbitrary
precision math and sit back to wait many hours instead of a
couple minutes. Luckily, the web sites can remove the need to
make such big decisions.
The finished image is posted at:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
The warm weather continued here at Fractal Central today, as the
temperature reached 77F 25C under a mix of sun and clouds. Only
an overly brisk wind kept the day from being perfect. The
fractal cats grew alert when a tough looking tabby tomcat
wandered into the yard, but when the intruder wandered off, they
settled down and made it through the rest of the day peacefully.
The fractal humans made it through the day also, though perhaps
not quite as peacefully as the cats.
Unless something unexpected comes up, the next FOTD fractal
image will be posted in roughly 24 hours. Until then, take
care, and a petition was recently submitted to the Washington
Post, demanding that the newspaper stop printing articles that
question global warming. The petition had gathered 100,000
signatures! It's comforting to know that Big Brother's minions
are still alive and hard at work letting us know what is good
for us.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Buried_in_Chaos { ; time=0:02:00.00 SF5 at 2000MHZ
reset=2004 type=mandel passes=1 center-mag=-0.1628\
2506304104240/+1.039286333915032/1.046759e+012/1/\
-5/0 params=0/0 float=y maxiter=75000 bailout=9
inside=0 logmap=-12700 mathtolerance=0.05/1
colors=000cKKcKJcLJcMIcMHdNHdNGeOFfOFgPEhPDiQDjQHk\
RGlRFmSKmSJnTInTIoUHoUGpVGpWFqXJqYJrZIr_Hr`IraIrbI\
rcJrdJreIrfIrgHrhGsiFwjKwkNwlQwmTwnWvoZupbtqcsqhrq\
mqqrpqvorznszmtzmuzmvzmwzmxzmyzmzzmzz40A50A60A70A7\
0A85986A86A87A97BA7BB8BC8BE9CF9CG9CIADKADMADMBDSBE\
SCESCETCFTDFTDFTDFUEGUEGUFGVFHVFHVGHVGHWHIWHIWHIXI\
JXIJXIJXJJYJKYKKYKKcKLcLLcLLcLLdMMdMMdNMeNNeNNeONe\
ONfPOfPOfPOgQPgQPgQPgRPhRQjSQjSQkSRkTRkTRmVPlUQlTR\
lSSlRSlRTlQUlPUlOVlNWlNWlMXlLYlKZlKZlJ_lIalJclKelK\
glKilKklKmlKomKqmKsmKumKwoKxoKyoKzoKzwKzwKzwKzwKzw\
KzwKzwKzwKzwKzwKzwKzwKzwKzwKzwKzwKzwUzwUzwUzwUzwUz\
wUzwUzwUzwUzwUzwUzwUzwUzwUzwUzwUzwZzwZzwYzwYzwYzwX\
zwXzwXzwXzwWzwWzwWzwVzwVzwVzwUzwczwczwczwczwczwczw\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
END PARAMETER FILE=========================================
FOTD -- April 13, 2014 (Rating A-8.5,M-4)
Fractal visionaries and enthusiasts:
Today's image is all art, which rates an excellent 8.5. Without
the unique color palette, which was created by myself, the image
would be just another rather deep scene in one of the more
chaotic parts of the northwest shore line of the main bay of the
Mandelbrot set. The math rating of a deficient 4 shows the lack
of originality of the math aspect.
My first impression of the fractal was that of a Queen Anne's
Lace flower, which is the name of the image.
The magnitude of the scene is not all that great, but is is
large enough to make arbitrary precision math necessary, slowing
the calculation time to a crawling 30 minutes. Luckily, the web
sites can eliminate the job of calculating the image from
scratch.
So save the half-hour by viewing the finished image on the FOTD
web sites at:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
Spring arrived in full force today here at Fractal Central as
the brilliant sun pushed the temperature to a high of 81F 27C.
The fractal cats took full advantage of the sun, which to their
displeasure is now reaching too high an angle in the afternoon
hours to cover the entire shelf. The fractal humans also took
advantage of the warm weather but did not care too much for the
techno-rap 'music' coming from a nearby party.
The next FOTD will soon be posted. The most likely time will be
this same hour tomorrow. Until whenever, take care, and I guess
one must be younger than 30 to appreciate the so-called 'music'
that young people are currently 'enjoying' today.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Queen_Anne's_Lace { ; time=0:30:00.00 SF5 at 2000MHZ
reset=2004 type=mandel passes=1
center-mag=-0.568735652949339182235/0.457321058112\
789029035/1.44e+016/1/-115/0 params=0/0 float=y
maxiter=7200 bailout=9 inside=0 logmap=-1074
colors=0000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\
00000000001101102202203303304404405505506606607707\
70880880990990AA0AA0BB0BB0CC0CC0DD0DD0EE0EE0FF0FF0\
GG0GG0HH0HH0II0II0JJ0JJ0KK0KKALLALLAMMAMMANNANNFOO\
FOOFPPFPPFQQFQQKRRKRRKSSKSSKTTKTTKUUPUUQVVQVVQVVRW\
WRWWSXXSXXTYYTYYUZZUZZV__V__W``W``YaaYaaZbb_bb`cc`\
ccbddbddceedeeeffeffgggggghhhhhhiiiiiijjjjjjkkkkkk\
llllllmmmmmmnnnnnnooooooppppppqqqqqqrrrrrrsssssstt\
ttttuuuuuuvvvvvvwwwwwwxxxxxxyyyyyyzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
END PARAMETER FILE=========================================
FOTD -- April 11, 2014 (Rating A-7,M-7)
Fractal visionaries and enthusiasts:
I have heard of Boltzmann brains but I never thought I would see
one. Today's image, which lies on a twisted filament extending
from a bud on the southeast shore line of the main bud of the
Mandelbrot set has made me a true believer however, for lo and
behold, there are eight of these pathetic accidental and lonely
creatures gathered around the central minibrot in today's image.
And I think I can see many more brains huddled farther in.
Boltzmann brains (check them on the internet) are hypothetical
entities that randomly fluctuate out of the quantum jitters of
an infinite empty space at maximum entropy. They might or might
not resemble human brains, but somehow they are conscious and
imagine themselves to be located inside a physical body which is
surrounded by an immense universe of relatively low entropy.
The end result of this line of thought is the absurd assumption
we are all merely imagining the outer world, and nothing but our
own minds (and fractals, of course) are real. I doubt that
anyone actually believes in Boltzmann brains, but ever since the
discovery of dark energy, they are where the rational study of
time and entropy has been leading us, and it is hard to see how
we might get out of the conundrum, (if it actually is merely a
conundrum and not, gasp, reality).
Madam Zucchini, who talks to spirits every day at her fortune-
telling shop down on the corner, makes better sense than many of
today's so-called scientists. No wonder I have lost my youthful
enthusiasm for science.
The name "Boltzmann Brains!!" is self explanatory. The art and
math ratings are both somewhat above average, though not high
enough to justify the 13 minutes required to calculate the
image. This is where the web sites charge to the rescue.
Be the brainiest guy in town. Avoid the calculation delay by
checking the finished image on the FOTD web site at:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
Heavy clouds moved in overnight here at Fractal Central, and the
rain arrived just after lunch. The fractal cats enjoyed the
temperature of 63F 17C as much as possible from indoors, but
would have preferred the sun. The fractal humans were too busy
with other things to concern themselves with a rainy afternoon.
The next FOTD will probably not be posted before April 13, two
days from now. Until then, take care, and hey!, it's not so bad
being a Boltzmann brain.
Jim (bring on the ghosts) Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Boltzmann_Brains!! { ; time=0:13:00.00 SF5 at 2000MHZ
reset=2004 type=mandel passes=1 center-mag=-0.8335\
331719560557432/-0.23097133205008341002/6.755e+014\
/1/40/0 params=0/0 float=y maxiter=3500
bailout=9 inside=0 logmap=597
colors=000RKJRKIQKHQKFPKEOKDPKBOKAPK9TKDUKGUKJUKMU\
KQUKTKKWKKZKK`KKbKKdKKfKKhKKjKKlKKmKKoKKqKKUKKUKKU\
KKUKKUKKUKKUKKUKKUKKUIKTIKSHKRDKN9KI5KE1KA8KCBKDBK\
ECKICKMDMPCOTAQX8S_7UZ6WY6YX5_X5aW4cV4eU3gU3fT2fS2\
eR1dR1dQ0fP0iPFlQTmQgjQlhQmgTmfVjfXfdZb`a_XcWUeTQg\
PNjLKlIGnEDpBArCEsCItCLtDPuDSuDWvDZvEbwEfxEixFmyFp\
yFtzFwzLruQmpVhl_cgdZbiUZnPUsKQoOOkSNhVMdZL`aJYeIU\
hHQlGNoFSnIXmL`lOelRikUnjXrjZqgXpdVpbTo_RnXPnVNmSL\
lPJlNHkKFkIDVSGEaIIcJMeJQgKUiKYjK`jQcjWfjahjfgkbgl\
_fmWfnTfnQeoMepJdqFdrCdq9do8dm7dk7di6dg6de5dc4d`4d\
W3cP3aH2ZB1W71Q30M00J46G7BEAHUAMZASXFXWGbVHgUImTJr\
SKpSLnSMlSOjSQhRSgRVeUYcU`acd_chZcowctwczwmzmmzrmz\
zmzzmcmmTcmHUo6Wn8WnAWnCWnEWmGWmIWmKWmMWlIUpUSpUQo\
UOocNrcPrcQrcRrcSrcTrcUrcVrcWwhXwhYwhZwhRwhcwhcwhc\
whcwrmwrmwrmwrmwrmwrmwrmwrmwzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
END PARAMETER FILE=========================================
FOTD -- April 10, 2014 (Rating A-8,M-6)
Fractal visionaries and enthusiasts:
Today's image is a simple deep dive into the Mandelbrot set.
The scene is located on a filament extending northeast from the
large northern bud of the large minibrot on the main stem of the
M-set.
I named the image "Coronal Discharge" because of the bluish aura
around the outer rim of the minibrot pattern. (This might not
be the first FOTD with this name.) The extra effort I put into
the coloring earns the rating of an 8. The extreme depth of the
scene raises the math rating to a 6.
The calculation time of 19-1/2 minutes is quite reasonable for a
scene at a magnitude of over 10^(26), but the slowness is still
a drag. Checking the image on the web sites is more fun and
saves most of the time.
The finished image is posted on the web sites at:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
Full sun and a temperature of 66F 19C brought spring to the
Fractal Central doorstep today. The fractal cats spent the
afternoon chasing the sun around the room, while the fractal
humans chased the work.
The next FOTD will be posted in the appropriate time. Until
whenever this might be, take care, and the mass stabbing at the
Pittsburgh school was outrageous. We must do something to put
an end to this senseless violence. Let's pass legislation to
keep kitchen knives from the hands of people with mental and
emotional problems. . . . Or maybe we should first try to figure
out what is wrong with our modern culture that is creating such
violence in our schools.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Coronal_Discharge { ; time=0:19:30.00 SF5 at 2000MHZ
reset=2004 type=mandel center-mag=-1.7551432400195\
423935544486000208/0.01629740460602442248495329160\
701/1.747468e+026/1/142.5/0 params=0/0 float=y
maxiter=11000 bailout=9 inside=0 logmap=797
colors=000A0cA0cA1cA1cA2cA2cA3cA3cA3cA4cA4cA4cA4cA\
5cA5cA6cA6cA6cA7c97c88c78c69c59c5Ac5Ac6Bc6Cc6Dc6Ec\
6Fc7Gb7Ha7I`7J_7KZ6LY7M_7N`8Ob8Pc8Rd9Uf9Xg9_hAbjAd\
kAglBjnBmo9prBouCnwDmzFmzGlzHkzJjzKjzLizNhzOgzPgzR\
fzSezTdzXczUdzSezQfzSgzUgzWhzYiz_jzajzchvegrgemjdh\
mecpfZqgUrhPriKsjHskEtlEtmEuoEtqDusEvuFwwFxzGyvGzm\
HzcHyUIyKIxCIx0I00T9AUFKWLRYQT_WV`aXbfZdl`fs`fqagp\
bgochndhmehkfijgiihjhijgjjekkdlkcmlbnlaolWebQWUKMK\
ECBAAACzmHthNpcSmZOhULeOHaHEWACK6AC3000l_Rzzztvznr\
vinrckoYgoTcoN_oIXoIcbIjRIqFMEeN7gTA_YCScFKhHDs8Hz\
zlvulrqlmmlhilcczTcDocAtZ8cXAOVC8TEMMQZFak8mx2xm7k\
cC_UHOKMCFG7AA2DGBFLJHQRKWZM`fOenZdcqQGqMNqITqE_tC\
gqBenAdkAchUbhUahU`iU_jUZkUYkUXmUWmUWmUVmUVmUUmcUm\
cTmcTmcSmcSmcRmcRmcQmcQmcQmcPzmPzmOzmOzmNzmNzmMzmM\
zmLzmLzmNzmszmszmszmszmszmszzszzozzlzzizzfzzczz`zz\
YzzUzzRzzOzzLzzIzzFzzCzz9 }
END PARAMETER FILE=========================================
FOTD -- April 09, 2014 (Rating A-7,M-4)
Fractal visionaries and enthusiasts:
Today we return to a type of fractal I was working with quite a
few years ago. The image is a scene in a perturbed Z^2+C
Mandelbrot set. It is located at the edge of the inside of a
minor bud on the southwest shore line of the main bay.
The half obscured blue and white buds in the background are
actually part of the classic M-set itself. The reddish spiral
arms in the foreground are the trails of points that have
escaped before being trapped in the remnants of the buds.
What we have here is a demonstration that the points in a
perturbed M-set, if they do not escape first, will ultimately
fall into the same orbits as points that originate at 0,0. The
points in today's image for example originate at 0.7,0.2.
I named the image "Ghostly Attractor" because of the ghost buds
and also because despite my skeptical nature, I find ghosts
quite interesting and not at all unlikely to be 'real'.
The art rates a 7, since the image is not all that great. The
math rates a 4. After all, how unique can the math of the
Mandelbrot set be at this point of the fractal era.
The calculation time of just under 2 minutes is slow for a scene
in the Mandelbrot set. The culprit is the maxiter of 250000,
which slows things down in the lower part of the image, but this
maxiter was necessary to get full definition in the ghost buds.
The web sites can greatly cut the length of the wait to see the
image however.
Escape the life of endless waiting. Check the finished image on
the FOTD web sites at:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
Today here at Fractal Central, which is the almost-real central
headquarters of the FOTD, spring gave signs that it was finally
ready to arrive. The brilliant sun, gentle winds, puffy white
clouds and temperature of 61F 16C was just what any doctor would
have ordered. The fractal cats soaked up all the sun they could
find, and chased each other up and down the hallway when the sun
was at the wrong angle, while the fractal humans made the most
of the pleasant conditions.
The next FOTD will be posted before too long. Until that moment
of truth arrives, take care, and try to avoid the cognitive
instability that arises when we assume something that undermines
the argument that justified our assumption in the first place.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Ghostly_Attractor { ; time=0:01:50.00 SF5 at 2000MHZ
reset=2004 type=mandel passes=1 center-mag=-0.5769\
768387/-0.4519133225/5218/1/146.7/0 params=0.7/-0.2
float=y maxiter=250000 inside=0 logmap=200
colors=000yi0xh0xh0xh0xh0uf0re0oc0lb1i`3h_6eY8bWB_\
VDWUGVSHSRKPRMMPPJOSHMUEKWBJY8H`4Gb3Ee0Df0Bi09k08m\
08o0Bp6DrEGsMHuUJv`MxhOyoRzvSzzUzzVzzVzzVyzVxzVvyV\
uyWsyWrxWpxWpxWovWmvYlWYkWWiWUhWRfWReWKeWKcWDbWD`W\
D_WDYWEWWEVWEUWEUWESWERWGPWGOWGMWGKWIJWKHYHHYHG`FE\
`CD`FB_C9_98_66Y94YE4WH3WE1WI0V80VA0V80UI0U80UI0S6\
0SH0S60RH0R60RH1P43PF4P66PF8O89OFBO8BMEDM9EMJFKBFK\
JGKBGKHHJ9JJHKJ9MHHNH9PHFPG8QGFRG8TGFVE6WEGYE7ZDG`\
D9aDJcDBdBLfBBfBMg9Fh9Nj9Ik8Om8Jn8Np8Jq6Js6Ht6Hu4H\
u6Hu6Ju4Ku6Mu6Ou6Pv6Rv6Sv6Uv6Vw6Ww6_w8bx6ex6hx6ky6\
my6py6ry6sz6uz6vz6xz6yz4yz4yz4yz4yz4yz4yz8yzByzEyz\
HyzKyzOyzRyzUyzWyz_yzbzzezzhzzkzzkzzkzzkzzkzzkzzkz\
zkzzkzzkzzkzzkzzkzzkzzkzzkzzkzzyzzyzzyzzyzzyzzyzzy\
zzyzzyzzyzzyzzyzzyzzyzzyzzyzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
END PARAMETER FILE=========================================
My April 9th, 2014 entry has an image, CRITDEMO.jpg, where
I used Fractint's Parameter Explorer / Evolver to show
a grid of M-sets perturbed away from the critical value of
(0,0). Jim's FOTD is a zoom into a perturbed M-set.
Jim's perturbed M-set and an interesting sequence of zooms
into it are shown in the center column of April 9th's
entries.
The CRITDEMO.jpg image is on the row with F140409.gif at
the far left.
The real-perturbing value varies left to right in the image;
the imaginary-perturbing value varies up and down.
When I look closely at that image, I think that the center
fractal did not have the non-perturbing critical value of
(0,0).
Thanks again for keeping my counters up to date by
clicking April, 2014 on my main page:
http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html
- Hal Lane
########################
# hallane(a)earthlink.net
########################
---
This email is free from viruses and malware because avast! Antivirus protection is active.
http://www.avast.com
FOTD -- April 08, 2014 (Rating A-6,M-5)
Fractal visionaries and enthusiasts:
Today's image is a scene in the Z^(3.05)+C Mandeloid as it
appears at ground level of the hyperladder with no function
applied. The prominent minibrot at the center is a near exact
copy of the parent fractal, which has the same orientation.
Today's image is located in the blunt northern branch of the
valley leading to the eastern bud.
I named the image "The Past Returns" because it is the kind of
stuff I did long ago when I was just discovering fractals.
(Strangely enough, I am still just discovering them even today!)
The art rating of a 6 and math rating of a 5 shows that the
image is a rather routine one, though the fireball calculation
time of 30 seconds will take a lot of sting out of the task.
And as always, the web sites are ready to take all the sting
from the calculation.
The image may be viewed on the FOTD web sites without the job of
calculating it. The web sites are at:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
Dark clouds and blustery winds spoiled the day here at Fractal
Central. A little sun did manage to break through in the
afternoon, but it was too little and too late. The temperature
of 55F 13C would have been fine had it not been for the clouds
and wind. The fractal cats had a relatively quiet day, except
for a friendly tussle they got into around lunch time. The
fractal humans had a normal day of wondering what has gone wrong
with the world in the 21st Century.
The next FOTD will be posted in roughly 24 hours. But this is
not etched in stone, so do not be too disappointed if it does
not appear. Until whenever, take care, and the latest breaking
news on the missing airliner is that there is nothing new to
report.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
The_Past_Returns { ; time=0:00:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident
center-mag=+0.8100388496415922/-0.0180164699522101\
/8.299791e+012/1/77.5/0 params=3.05/0/0/0 float=y
maxiter=1600 inside=0 logmap=67
periodicity=6 mathtolerance=0.05/1
colors=000qEqrFpsGltHhuIdtJ`sKXrGTqBOp6Dp2Am67jABg\
EGdILaMQZUUWZZT`cQchNfmKjrInvIozHmzGkzFhrEemDbcJUk\
IUmHP`GKbFAdECfDFhCHjCJmBLpAOu9Qz8Sz7Uz7WvDYrJZmP_\
hV`Z`aSfbMlcGrdAmFIcDDbL9ST4S`0T_1UZ2VY3WX3XW4YV5Z\
U5_T6`S7aR8bQ8cP9dOAeOAfU5gW1hY6i_BjaFkcKlePmgThhY\
iiajjfkkkllommtnmxnmtmmplmlkmhjmdjm`imXhmTgmPwmLwm\
HwmIwmJwmJwmKwmKwmLwmLwmMwmMwmNwmNwmNwmNwmNwzNwzNw\
zNwzNmzNwmNwmNwmNwmNwmNwpNwsNwvNmsMwpMwmMmrzmzzmzz\
mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzzzKzzLzzMzz\
OzzPzzQzzSzzTzzUzzVzzTzzSzzQzzPzzNzzMzzTzzTzzTzzTz\
zTzzPzzMzzJzzGzzCzz9zz6zz3zz7zzBzzEzzIzzMzzPzzTzzX\
zz_zzczzKzzKzzKzzKzzLzzKzzKzzKzzKzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
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=========================================
