It's a drawing options extravaganza! Parameter perturbation! Initorbit! Inversion! It's the
classical mandelbrot all dressed up and ready to go! Seriously though it's the
abundance of options that first drew me to Fractint. Learning about the doodads
was time consuming but paid off in getting the most out of this very versatile
program. Take advantage of the time unlimited offer of instant download
at http://maxitersfractalfollies.blogspot.com!
fract443.gif { ; something old, something new
; blank
; calctime 0:26:52.12
; created Sep 27, 2010
; Fractint Version 2004 Patchlevel 9
reset=2004 type=mandel passes=1
center-mag=-0.77362018409613210/-0.60720825413775390/226.2682/1/-115.000\
000000000426/-1.64999958141009984e-013
params=-0.004333628345591624/-0.2269966734824672 initorbit=0.5/-0.3
float=y maxiter=3600 inside=0 logmap=42
invert=0.746818445387127/-0.639881588183233/0.85399945066683
colors=000v0bt0ar0_q0Zo0Xm0Wl0Uj0Ti0Rg0Qe0Pd0Nb0M`0K_0JY0HX0GV0ET0DS0BQ0\
AO08P08Q08R08S18U18V18W18X28Y28_28`28a38b38d38e38f48g48h48j48k58l58m58o5\
8p68q68r68s68u78v78w78x78z88z98zA8zB8zC8zD8zE8yF8yG7yH7yI7yJ7yK7xL7xM7xN\
7xO6xP6xQ6wR6wS6wT6wU6wV6wW5vX5vY5vZ5v_5v`5va5ub5uc4ud4ue4uf4ug4th4ti4tj\
4tk3tl3tm3sn3so3sp3sq3sr3rs2qs2os3ns3mr4lr4kr5jr5hr6gr6fr6er7dr7cq8aq8`q\
9_q9ZqAYqAXqBVqBUpCTpCSpDRpDQpDOpENpEMpFLpFKoGJoGHoHGoHFoIEoIDoJCoJAnK8q\
L5tN3wP0zR0wQ0sO0pN0lL0hJ0eI0aG0YE0VD0RB0N90K80G60C40H90MF0RL0WR0`X0eb0j\
h0on0tt0zz0xx0vv0st0qr0no0lm0jk0gi0ef0bd0`b0Y`0WY0UW0RU0PS0MP0KN0HL0FJ1C\
G2CL4DP5DU7DZ8EbAEgBElDFpEFuGGzGGxFFvEEtDDrCCpBBnBBlAAj99h88f77d66b66`55\
Z44X33V22T11R00O53SA6XG9aLCfQFkWIp`LufOzfNyfMweLveKtdJsdIqdHpcGncFmbEkbD\
jaChaBgaAe`9d`8b_7a_6__5ZZ4XZ3WY2UY1TX0Rc0Vk0Zr0bz0fy0e
}
Roger Alexander
FOTD -- September 28, 2010 (Rating ?)
Fractal visionaries and enthusiasts:
It's rare that a parent fractal earns FOTD status, but today's
parent is just curious enough to do it. Several pseudo-mini-
brots have been posted on the list recently. Most of these
were simply minibrots that were calculated with a non-critical
initial value. Today's Mandebrot fractal is fully critical
however, but its Mandelbrot-set status is questionable.
There comes a point where a distorted Mandelbrot set reaches a
degree of distortion where it can no longer honestly be called a
Mandelbrot set, and I think today's Mandelbrot set has gone
beyond that point, and morphed into some other kind of fractal.
East Valley is the only instantly recognizable feature. Believe
it or not, Seahorse Valley is at the southern edge of the main
bay, while the northern period-20 bud is as large as the main
period-2 bud, which is cut from the main bay by Seahorse Valley.
There is little more to be said about the image, except that,
since it is a parent fractal, it obviously holds countless
smaller scenes. One of these will be posted as tomorrow's FOTD.
Unable to decide on a rating for a parent fractal, I let the
image go with a puzzling rating of a question mark.
The name "The Most Distorted" is a bit of an exaggeration, since
the distortion of today's image may be increased beyond limit by
incrementally reducing the imag(p1) parameter.
The calculation time of 10-3/4 seconds is no mistake. The image
really is that fast. The image may also be seen by viewing it
already calculated on the FOTD web site at:
<http://www.Nahee.com/FOTD/>
Heavy clouds and frequent showers characterized Monday here at
Fractal Central. The temperature of 73F 23C was mild enough
however to keep things quite comfortable.
The fractal cats passed the day alternating between sleeping and
watching for unwanted cats. My day was uneventful. The next
FOTD will be posted in 24 hours. Until then, take care, and
will the end of the world make history?
Jim Muth
jamth(a)mindspring.com
START PARAMETER FILE=======================================
The_Most_Distorted { ; time=0:00:10.46-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=recip float=y
center-mag=-0.15/1.866/0.71/1/8/0 params=1/1.05/-1\
/-1.03/0/0/0/0 maxiter=1500 inside=0 logmap=yes
colors=000XN`XN`WO_VO_VOZUOZUOZTOYSPYSPXRPXRPXQPWQ\
PXQQWPRVORVNRUNRUMRTMRTLRTKRSKRSJRRJRRIRRHSQHSQGTP\
GTPFTPFTOETODTNDTNCTNCTMBTMBTMCULDULEVLFVLFWLGWLHX\
KIXKJYKJYKKYKLZKMZJM_JN_JO`JP`JQaJQaIRaISbITbIUcIU\
cIVdHWdHXeHXeHYeHZfH_fH`gG`gGahGbhGciGhiGmiFrjFvjF\
zkFzlGzmIzmKzmMzmOzmQzmSzmUzmWzmYzm_zmazmczmdmmzmm\
zmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmizmizm\
jzmjzmjzmjzmjzmkzmkzmkzmkzmkzmlzmlzmlzmlzWmzXmzXmz\
YmzZmzZnz_nz_nz`nzanzaozbozcozcozdozepzezQfzQgzPgz\
OhzOizNizMjzLkzLkzKlzJmzJmzInzHozHozGzzFzzFzzGzzGz\
zGzzGzzGzzGzzHzzHzzHzzHzzHzzHzzIzzIzzIzzIzzIzzIzzJ\
zzJzzJzzJzzJzzJzzIzzJzzKzzLzzMzzNQzOQzPRzQRzRRzSRz\
TSzUSzVSzWSzWTzXTzYTzZTz_Uz`UzaUzbUzcVzdVzeVzfVzgW\
zhWzhWziWzjXzkXzlXzmXznYzoYzpYzqYzrZzsZztZzuZzuZzt\
ZztZztZztZzsZzsZzsZzsZzrZzrZzrZzrZzqZzqZzqZzqZzpZz\
pZzpZzpZzoZzoZzoZzoZznZzn }
frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================
.
yeah that done it - linear mapping (logmap=0).
took 7 hours on P3-933, not bad for that depth.
loox nice now - lemme check it out for a zoom in animation.
thanx for tip
.
FOTD -- September 27, 2010 (No Rating)
Fractal visionaries and enthusiasts:
Today's surreal scene is named "New Elephant View". The name
shows that it is a new view of East Valley of the Mandelbrot
set, which is sometimes called Elephant Valley.
The Mandelbrot set is a two-dimensional slice through the center
of the four-dimensional Julibrot figure, which results when the
expression Z^2+C is iterated. (Two complex numbers equals four
variables.)
The Mandelbrot set does not slice the Julibrot figure into two
separate parts however. It simply cuts a two-dimensional hole
through the Julibrot. A three-dimensional slice would be needed
to make the Julibrot fall apart. Nor is the Z=0,0 slice the
only slice of the Julibrot that produces the familiar M-set
shape. I suspect but do not know for sure that there are an
infinite number of two-dimensional slices of the Julibrot that
produce Mandelbrot sets.
Since the Julibrot is four-dimensional, it has six mutually
perpendicular two-dimensional slices through every point. Two
of these orientations are quite familiar -- the Mandelbrot and
Julia directions. The names of the other four orientations are
my own inventions -- the Oblate, Rectangular, Parabolic and
Elliptic directions. Today's scene slices the Julibrot in the
Rectangular direction, thus it may properly be called a
Rectangular set.
In the image, the vertical direction is the imag(z) axis, while
the horizontal direction is the imag(c) axis, thus the scene is
a hybrid -- 1/2 Mandelbrot and 1/2 Julia. The slice is offset
0.5 in the real(z) direction.
With all this technical stuff and not too much image to work
with, I could not give the image a rating. Setting the inside
to something like 'bof60' or 'atan' adds more detail to the
scene, though I prefer the stark black background of inside=0.
The calculation time of only 49 seconds simply oozes conveni-
ence. Those who prefer their fractals pre-cooked may view the
completed image on the FOTD web site at:
<http://www.Nahee.com/FOTD/>
The fractal cats appeared unusually happy about the nondescript
conditions here at Fractal Central on Sunday, which was about as
average as a day could be. The temperature of 70F 21C was
average, the partly cloudy sky was average, the northeast wind
was average, and the forecast of coming rain was typical. My
day was average also. The next FOTD will be posted in 24 hours,
which is average. But for today only, I will have no thoughtful
but intentionally silly or controversial closing remarks, which
is most un-average.
Jim Muth
jamth(a)mindspring.com
START PARAMETER FILE=======================================
New_Elephant_View { ; time=0:00:49.16-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot4 passes=1 center-mag=0/0\
/1.1/13.5 params=90/0/0/90/0.28/0/0.5/0/2/0 float=y
maxiter=2500 inside=0 logmap=10 periodicity=6
colors=000kqThqVepWcnYal__jaYheWfiUeiRdhSchRaePZaO\
PUOLPKHKHczDdzAfz6jz3kz2mz2mz2mz2nz2nz1oz1qz1sz1qz\
1oz2nz2mz2lz2kz3jz3iS3hU3gW4fY4e_4da4cc5be5ag5`i5_\
k1Xm5_l9alDdkHfkLijPkjTniVoiWpiOkUGfEHeDIeDJdDKdDL\
dDMcDNcDNcDObDPbDQbDRaDSaDT`DT`DU`DV_DW_DX_DYZDZZD\
zuDzuGzuIzuLzuNzuQzmSzmVzmXzm_zmazmdTMzTLzSKzSJzRI\
zRHzRGzTHzzI0zJ0zK0zL0zM0zN0zN0zO0zP0dQzfRzgSzhTzi\
QziTzcWzYYzS`zMczGezAhz8iz5jz9izCizFizIizLizPizSiz\
VizYiz`izehzcizbjzakz`lzZmzYnzXozWpzVqzTrzSszRtzQu\
zPvzNwzMxzLyzKzzJzzLzzMzzNzzPzrQzzRzzQzzSzzTzzUzzV\
zzWzzXzzZzz_zz`zzazzbzzczzdzzatzZozWizTdzQZzNUzKOz\
IJzJLzKMzLOzMPzNRzOSzPUzPVzQWzRYzSZzT`zUazVczWdzWe\
zXgzYhzZjz_kz`mzanzZtzaozcjzfezh`zkWzmRzoNzqTzsYzu\
czvhzslzppzmtzjxzgzzdzzczzbzzawz`tz_qzZnzYkzXhzWez\
VbzU_zTXzSUzRRzQOzPLzPGzOIzOKzOMzOOzOPzORzOTzNVzNX\
zNYzN_zNazNczKazNdzPgzSjz }
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=========================================
.
hey Mike, you sure you got the right map?
I am trying to get that awesome color on this page:
http://www.fracton.org/fmlposts/spidrweb.html
and it ain't happening. The colors look washed out red - not the same at all. I tried using the colors in the palette PAR file,
also downloaded the chakotay map from PNL collection - same thing.
Whats up?
.
FOTD -- September 26, 2010 (Rating 8)
Fractal visionaries and enthusiasts:
There was no antiquing trip on Saturday, but I did get talked
into an expedition to a large gardening store in Brickerville.
Actually, it was a rather pleasant trip, especially when FL and
I stopped at a great little restaurant on the way back to FC,
where I enjoyed Maryland crab cakes in Pennsylvania.
When we finally did get back to FC, it was past sunset, and I
doubted that I would have time to get the FOTD posted on time;
but my luck in the fractal world was exceptional, and I found
today's image on the first try.
I named the image "In a Minor Seahorse" because its parent
Mandeloid is so twisted that is is nearly impossible to discern
the main period-2 bud at a quick glance. But by counting the
arms of the stars, I soon found the main bud, which is actually
one of the smaller buds on the shore line of the main bay.
Today's scene lies in the valley leading to this bud, which
actually is the Seahorse Valley of the parent Mandeloid.
I rated the image at an 8. If I had had more time to work on
the colors, I might have raised the rating to a 9.
But even a rating of an 8 is a bargain when the calculation time
is a mere 1-2/3 minutes. Those who are not bargain shoppers may
view the finished image on the FOTD web site at:
<http://www.Nahee.com/FOTD/>
Near perfect summer-like conditions prevailed here at Fractal
Central on Saturday. The temperature reached a delightful 79F
26C under cloudless blue skies and a refreshing breeze from the
west. The fractal cats enjoyed the conditions while sleeping.
My day was reasonably pleasant at the garden store, while FL was
in her glory. The next FOTD will be posted in about 24 hours.
Until then, take care, and be skeptical of zealous skeptics.
Jim Muth
jamth(a)mindspring.com
START PARAMETER FILE=======================================
In_a_Minor_Seahrse { ; time=0:01:40.73-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=recip float=y
center-mag=+0.021047652834869/+0.7303394840536240\
/3.1714e+011/1/-150/0 params=1/1.1/-1/-1.1/0/0/0/0
maxiter=2400 inside=0 logmap=233 periodicity=6
colors=00010A20A30A40A52A64A76A88A9ACACFBEGDHKEKPG\
NUJScLXmObrQgvTmzVrzXtzTwzPzzLITI5SL9QNCOPFNRILTLK\
VPIXSGZVF`YDb`CddAfg8hj7jm5lp4jk5hg6gc6eZ7cV8bR8`M\
9ZIAYEAVLBSRBPXCNbCKhDHnDFtDErEDqECoEBnEzsEzqFxnFw\
mKtmSqmUnmWkmYhm_emacmccmecmgcmicmkcmmcmocmqcmscmu\
cmwcmzcmzcmzamz_mzYnzWozUpzSqzPrzMqzNqzOqyQqxRqwTq\
vUquWptXpsZpr_prapsbptdpteougouhovjowkowmoxnoxmlwl\
jwlhwkewkcwjawjZwiXwiVwhSwhQwgOwgMweLtcKrGBIbKo`Jm\
ZIjYIhWHeVHcTGaRFZQFXOEUNESLDPJCNICKGBIoD4lC5iC6fC\
7cC8`C9YCAWBBTBCQBDNBEKBFHBGiQ0gP1fO2eO2cN3bM4aM4_\
L5ZL6YK6XJ7VJ8UI8TH9RHAQGAPGBOFCMECLEDKDEICEHCFGBG\
sdeqbcoabm`akZ`jY_hXZfVYdUWbTVaRU_QTYPSWORVMQTLPRK\
NPIMNHLMGKKEJIDIGCHpakkZgg`ccc`_hXVmURrQNvNJzJkz4`\
z8QzCczh`zeZzbWz_UzXRzUPzRMzOzzLzzIzz4zz6zz7zz9zzA\
zzCzzDzzFzz6zz7zz7zz8zz8zz9bz9`zA_zAYzBXzBVzBUzCSz\
CRzDPzDOzEMzELzFJzFIzGGzG }
frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================
How about a newton mandelbrot mash-up? While this newton algorithm fractal
has an inverse bailout there are minibrots present. The Fractint formula parser,
the Swiss army knife of fractal programs. Note that fmod (for inside set coloring)
has a lower than default proximity value. Posted at http://maxitersfractalfollies.blogspot.com.
fract435.gif { ; mandelbrot newton mashup
; blank
; calctime 0:13:39.87
; created Sep 24, 2010
; Fractint Version 2004 Patchlevel 9
reset=2004 type=formula formulafile=_f.frm
formulaname=F'M-SetInNewtonB function=cosh
center-mag=-1.05687188006308700/+0.89796713004833140/191.5271
params=5/0/1e-007/0 float=y maxiter=3600 inside=fmod
proximity=0.0001 outside=tdis
colors=00fv0bt0ar0_q0Zo0Xm0Wl0Uj0Ti0Rg0Qe0Pd0Nb0M`0K_0JY0HX0GV0ET0DS0BQ0\
AO08P08Q08R08S18U18V18W18X28Y28_28`28a38b38d38e38f48g48h48j48k58l58m58o5\
8p68q68r68s68u78v78w78x78z88z98zA8zB8zC8zD8zE8yF8yG7yH7yI7yJ7yK7xL7xM7xN\
7xO6xP6xQ6wR6wS6wT6wU6wV6wW5vX5vY5vZ5v_5v`5va5ub5uc4ud4ue4uf4ug4th4ti4tj\
4tk3tl3tm3sn3so3sp3sq3sr3rs2qs2os3ns3mr4lr4kr5jr5hr6gr6fr6er7dr7cq8aq8`q\
9_q9ZqAYqAXqBVqBUpCTpCSpDRpDQpDOpENpEMpFLpFKoGJoGHoHGoHFoIEoIDoJCoJAnK8q\
L5tN3wP0zR0wQ0sO0pN0lL0hJ0eI0aG0YE0VD0RB0N90K80G60C40H90MF0RL0WR0`X0eb0j\
h0on0tt0zz0xx0vv0st0qr0no0lm0jk0gi0ef0bd0`b0Y`0WY0UW0RU0PS0MP0KN0HL0FJ1C\
G2CL4DP5DU7DZ8EbAEgBElDFpEFuGGzGGxFFvEEtDDrCCpBBnBBlAAj99h88f77d66b66`55\
Z44X33V22T11R00O53SA6XG9aLCfQFkWIp`LufOzfNyfMweLveKtdJsdIqdHpcGncFmbEkbD\
jaChaBgaAe`9d`8b_7a_6__5ZZ4XZ3WY2UY1TX0Rc0Vk0Zr0bz0fy0e
}
frm:F'M-SetInNewtonB (XAXIS) {; use float=yes, periodicity=no
; set p1 >= 3, 1e-30 < p2 < .01
z=0, c=fn1(pixel), cm1=c-1, cm1x2=cm1*2, twoop1=2/p1, p1xc=c*real(p1):
oldz = z
z= (p1xc - z*cm1x2 )/( (sqr(z)*3 + cm1 ) * real(p1) ) + z*real(twoop1)
|z - oldz| >= p2
;SOURCE: mandnewt.frm
}
Roger Alexander
FOTD -- September 25, 2010 (Rating 6.5)
Fractal visionaries and enthusiasts:
Today's image is named "HyperSplendor Brot", an exaggeration
if ever there was one. I found it in the HyperMandelbrot set,
though I suspect that the same scene exists unchanged in the
standard M-set. If it does, this same minibrot would be
impossible to track down however.
If the image is simply another everyday Mandelbrot-set scene, it
rates a 6; but if it is a scene unique to the HyperMandelbrot
set, then it rates a 7. Since I have no idea whether it's
unique or not, I compromised by rating the image at a 6.5.
I spent a little extra time on the coloring, but not enough to
add to the worth.
The calculation time of 2-3/4 minutes is very near FOTD average.
Unless the internet is jammed, the trip to the FOTD web site at:
<http://www.Nahee.com/FOTD/>
to view the completed image, will also be about average.
Summer returned with a vengeance here at Fractal Central on
Friday, as the temperature reached 93F 34C and the typical
midsummer haze filled the air. Early in the afternoon the
fractal cats took to the cool tile of the kitchen floor and
moved only to avoid the moving afternoon sun, which strikes the
floor quite strongly at this time of year.
My day was average, with no pseudo-philosophical discussions
with FL. The next FOTD will be posted in 24 hours, or maybe
more like 36 hours if an unexpected expedition comes up on
Saturday. Until whenever, take care, and if you want the
right answers, be sure to ask the right questions.
Jim Muth
jamth(a)mindspring.com
START PARAMETER FILE=======================================
HyperSplendor_Brot { ; time=0:02:46.15-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=HyperMandelbrot2 passes=1
center-mag=-1.4177901352209/-0.000304212661/4e+008\
/1/-10/0 params=0/0/0/0/0/0/0.0001/0.0001 float=y
maxiter=3200 inside=0 logmap=418 periodicity=0
colors=000dt_ctZbtY_tXYtWWsVUrURqTPpSNoSLnTImTGlUE\
kUDjUCiUCgSCdQCbOL_MTYJXYG_YFcVDfVBhVAiWAhWAfVEaVI\
YVLTUPOUTKUWFT_ATc6Tf6W`6ZV6aP6cK6fE6i87g16i26k35l\
45n55o6Aq7Kr8Ut9cuAmwBmzCmvEmrGmmIzjKzgMzeOzcQzcTm\
cSmcSmcSmcSmcRmcRmcRmcRmcQmcQmcQceQcfQcdPcbOc`OV_N\
VYMUWMUVLTTLTRKTQJSOJSMIUNFTMHSLIRKKQJLPINOHONGQMF\
RLESKDUJCVIBXHAYG9_F8`G6_F8aF9bFAcEBeECfEDgDEiDFjD\
GkCHmCInAHpCJoEKoGMoHNoJOnLQnMRnOSnQUnSVmTWmVYmXZm\
cVr`YoY_mWajTchQffOhcLjaIl_GnXDqVAsT8uQ5wO3yM8uPCq\
SGnVKjXOg_ScbW_e_XgcTjgQmkMpoJrnHllGgjFbgDXeCSaBN`\
0Ma5KdAIfGGjOElSCl_Amc8mh6mm6zl5zl4zk7zh9zbBvaDraF\
m`HiYJfULcPMcKNYKNYPOVUPcYQbWR`VSdTPgSNWbKcmIXwGZs\
H_oI`kJagKbcLc_MdWNdUKeTNfTPfTRgTTgSVhSXhSZiS`jVck\
SelQgmOinLkoJmpHoqEqrFssKuuPwvUywWzxYzy_zzazzczzew\
zgtziqzjozkmzlmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzm\
mzmmzmmzmmzmmzmmzmmzmmzmm }
frm:HyperMandelbrot2 {; periodicity must be turned off
a=(p1),b=(p2):
q=sqr(a)-sqr(b)+pixel,
b=(p3+2)*a*b+p4,
a=q,
|a|+|b| <= 100 }
END PARAMETER FILE=========================================
.
nice illustration of period doubling!
i will investigate it, may be worth doing a zoom-in animation
time will tell,
if so i will change the name. i hate spiders!
.
