FOTD -- October 11, 2010 (Rating 5)
Fractal visionaries and enthusiasts:
I am fully aware that today's FOTD is late. The excuse is that
I got lazy.
The image shows a scene on a filament extending from the north-
east shore line of the large minibrot on the main stem of the
Hypercomplex Mandelbrot set.
I named the image "Hyper-Hyper Things" because of the strange
minibrot at the center, where two Mandelbrot sets that normally
coincide are beginning to separate and the two copies of the
same minibrot are starting to obliterate each other -- kind of a
self-destruction. The elements surrounding the minibrot are
also starting to interfere and self-destruct.
The rating of an everyday 5 is an admission that I put almost no
effort into the image, which calculates in a speedy 37 seconds.
The image may also be seen on the FOTD web site at:
<http://www.Nahee.com/FOTD/>
where it is posted in finished form.
Perfect weather continued here at Fractal Central on Sunday,
with cloudless skies and a temperature of 70F 21C, which the
fractal cats considered absolute perfection. My day was so
peaceful that I neglected the Fractal of the Day, one of the
few times this has happened. Meanwhile, FL kept busy putting
her garden to sleep. (I didn't know gardens were so hard to
put to sleep.)
At the present time, (2:30pm Monday, Oct 11), I estimate that
the next FOTD will be posted on schedule in about 9 hours.
Check back then to see if it makes it. Until whenever, take
care, and search for a solution to the problems of the world.
Jim Muth
jamth(a)mindspring.com
START PARAMETER FILE=======================================
Hyper-Hyper_Things { ; time=0:00:55.15-SF5 on P4-2000
reset=2004 type=hypercomplex function=sqr passes=1
center-mag=-1.746664602347/+0.008703241929/9882150\
/1/-102.5/0 params=0/0/2e-009/1e-009 float=y
maxiter=750 inside=0 logmap=80 periodicity=0
colors=000AHUBJUCLUDNUEPUFRUGTUIVUJXUKZUM`UNbUOdUQ\
eURgUSiUUjUViUWgUXeUZcU`aUa_U_YUXWUUTURRUOPTKOSHLR\
EHQBEP8BL56F740A20G0KNALUKM`UNg`OkgPojQsgRw_RzcOvh\
MrmKmrIhvGczEZvGUrIPmJVhL`cMfZOlUPnPNoNLpNJqOHrOFz\
PDzPBzQ9zQ8zOAzNCzLEvKFsIHmHJkFLiEMgCOfBQd9Sc8Ta6V\
`5XZ3ZY2_V9bTGeRNgOTjM_lKfoIlqLimOgjRegUcdXaa_ZYbX\
VeVShTPkRmnOmqMmtKmwImzGmwGmuGwsGwqGwoGwmGMkGOiGRg\
GTeGWcGYaHV`HTZHRYHOWIMVIKUIHSIFRJDPJAOJ8NJ6JH9GFC\
DEF9CH6BK39N08P5DS9IUENXISZNXaRacWff_khcpjar`_sSZu\
IXv9Ww0xcruensfkqggoidmj`kkYimUgnReoNcpKdoJdnIdmId\
lHdkHdjGdiFdhFdgEdfEdeDddCdcCdbBdbB_eAWhARj9Nm9Ip8\
Er89u75x71z7Ku9aqAsmBtjCuhDueDvcEv`EwZFxWGxUGyRHyP\
HzMIzKIyLLyMNxMQxNSwOVwOXvP_vQavQctPbsObqNbpMbncam\
cakcajcaic`gh`fkcdnhcqmatr`wv_zzUzzPzzKzzFzzAzz5zz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
END PARAMETER FILE=========================================
Look at the calendar- it's national 10-10-10 day! I don't know about you but
I had the traditional dinner of a cheese and sauce pizza with double cranberry
sauce topping. Further in the news acting on a suggestion I am now giving the
parset par entries titles instead of gif file names. This is intended to make
sorting through the RSS parset feeds a little easier.
At the usual http://maxitersfractalfollies.blogspot.com
Lacey Blue { ; swirlies
; fract170.gif
; calctime 0:04:42.70
; blank
; Fractint Version 2004 Patchlevel 9
reset=2004 type=formula formulafile=_j.frm
formulaname=j_cspiralbullet
center-mag=-0.0700876/2.22045e-016/0.8912656/1/75/3.88578058618804789e-0\
16 params=-0.1322367015594958/-0.2129886776329844 float=y
maxiter=1500 inside=0
colors=00100100100100100100100200200200200200200300300300300300300400400\
400400400400500500500500500500600600600600600600700700700700700700800800\
800800800800900900900900900900A00A00A00A00A00A00B00B00B00B00B00B00C00C00\
C00C00C00C00D00E00F00G00I00J00K00L00M00N00P00Q00R00S00T00U00W00X00Y00Z00\
_00a00b00c00d00e00f00h00i00j00k00l00m00o00p00q00r00s00t00v00w00x00z01z02\
z03z04z06z07z08z09z0Az0Bz0Dz0Ez0Fz0Gz0Hz0Iz0Jz0Lz0Mz0Nz0Oz0Pz0Qz0Sz0Tz0U\
z0Vz1Wz1Xz1Xz1Yz1Zz1_z1_z1`z1az1bz1bz1cz1dz1ez1ez1fz1gz1hz1hz1iz1jz1kz1k\
z1lz1mz1nz1nz1oz1pz1qz1qz1rz1sz1tz1tz1uz1vz1wz1wz1xz1yz0zz3zz7zzBzzEzzIz\
zMzzPzzTzzXzz_zzczzgzzjzznzzrzzvzzszzozzkzzhzzdzz`zzYzzUzzQzzNzzJzzFzzCz\
z8zz4zz0zz0zz0yz0yz0xz0xz0wz0wz0vz0vz0uz0uz0tz0tz0sz0sz0rz0rz0qz0qz0pz0p\
z0oz0oz0nz0nz0mz0mz0lz0lz0kz0kz0jz0jz0iz0iz0hz0hz0gz0fz
}
frm:j_cspiralbullet(XAXIS_NOIMAG) {
;needs floating point!
;default for p1=0.4
p=p1,p=p+(|p|==0)*0.4
z=y=pixel:
z=y/z+p
y=z*y-p
|z|<1e6
;SOURCE: julhack.frm
}
Roger Alexander
The image is the result of inorganic calculations but intimates red blood, the organic.
Numbers are the product of the human mind. Life analyzes itself. Ready made
at http://maxitersfractalfollies.blogspot.com.
fract133.gif { ; hemoglobin
; blank
; calctime 0:00:54.27
; created May 01, 2010
; Fractint Version 2004 Patchlevel 9
reset=2004 type=formula formulafile=_g.frm
formulaname=general_jul-c&l center-mag=0/0/0.6666667
params=0.8193304239020965/0.4449903866695151/1.456068605609302/0.1237220\
374156926/0.1573534348582415/0.5277260658589434 float=y maxiter=1500
inside=0 proximity=3 outside=fmod
colors=000100200300400500600800900A00B00C00D00E00G00H00I00J00K00L00M00O0\
0P00Q00R00S00T00U00W00X00Y00Z00_00`00a00c00d00e00f00g00h00i00k00l00m00n0\
0o00p00q00s00t00u00v00w00x00z00z00z11z22z22z33z44z44z55z66z67z77z88z89z9\
9zAAzABzBBzCCzCDzDEzEEzEFzFGzGGzGHzHIzIIzIJzJKzKLzKLzLMzMNzMNzNOzOPzOQzP\
QzQRzQSzRSzSTzSUzTUzUVzUWzVXzWXzWYzXZzYZzY_zZ`z_`z_az`bzaczaczbdzcezcezd\
fzegzfhzfhzegzegzdfzdfzcezcezbdzbczaczabz`bz`az_azZ`zZ_zY_zYZzXZzXYzWYzW\
XzVXzVWzUVzUVzTUzSUzSTzRTzRSzQRzQRzPQzPQzOPzOPzNOzNOzMNzLMzLMzKLzKLzJKzJ\
KzIJzIIzHIzHHzGHzGGzFGzEFzEFzDEzDDzCDzCCzBCzBBzABzAAz99z99z88z78z77z67z6\
6z56z55z44z44z33z33z22z22z11z00y00x00w00v00u00t00s00q00p00o00n00m00l00k0\
0j00h00g00f00e00d00c00b00a00_00Z00Y00X00W00V00U00T00R00Q00P00O00N00M00L0\
0K00I00H00G00F00E00D00C00B00900800700600500400300200000
}
frm:general_jul-c&l {
;
; For Kerry Mitchell's explanation of the "circle & line"
; coloring method, see the end of formula
; general_man-c&l
;
; "general circle & line" coloring method for Julia sets
; c = Julia parameter, hardcoded
; p1 = x-circle center
; real(p2) = x-circle radius
; imag(p2) = y-line a
; real(p3) = y-line b
; imag(p3) = y-line c
; bailout hardcoded to 10^12
; use "decomp=256" coloring
;
zc=pixel, c=(0,1), bailout=1e12, iter=1, rmin=1e12
cenx=p1, radx=real(p2), rad2x=radx*radx
ay=imag(p2), by=real(p3), cy=imag(p3):
iter=iter+1, zc=sqr(zc)+c
tempx=|zc-cenx|-rad2x
tempy=ay*real(zc)+by*imag(zc)+cy
temp=tempx+flip(tempy), r=|temp|
IF (r<rmin)
rmin=r, z=temp
ENDIF
IF ((|zc|>bailout)||(iter==maxit))
iter=-1
ENDIF
iter>0
;SOURCE: 98msg.frm
}
Roger Alexander
FOTD -- October 10, 2010 (Rating 8.5)
Fractal visionaries and enthusiasts:
Today's image rates an 8.5, and most of this is pure serendip-
ity. Returning late in the day on Saturday after an antiquing
trip, I found myself pressed to find a worthwhile fractal in a
hurry. After all, the date is 10-10-10, and I would never want
to permit such a notable date pass without an unusual fractal.
Once again, my old friend the Mandelbrot set came to the rescue.
Checking the East Valley area of the large minibrot on the main
stem, I found today's curious minibrot. At first the shy fellow
made little impression, but as I began changing and cycling the
colors, the present color palette suddenly fell into place.
Ninety-percent of the coloring was done by the Fractint program,
which occasionally appears to be almost conscious of the things
it is doing. I needed to tweak only a few registers to create
the image. The rating of an 8.5 is fully justified.
The name "Lost in Hyperspace" describes the actual physical
location of the scene. The calculation time of 35 seconds will
waste no one's time. And as always, the finished image is avail-
able for instant viewing on the FOTD web site at:
<http://www.Nahee.com/FOTD/>
Perfect weather prevailed once again here at Fractal Central on
Saturday, with conditions an exact repeat of yesterday's. The
fractal cats likely spent the day sleeping, watching the leaves
turn colors and checking the stray cats that wandered into view.
My day was as good as could be expected; FL had a similar day.
The next FOTD will be posted in 24 hours. Until then, take
care, and those who fear to delve into the mysteries must remain
forever unenlightened. But always remember that one person's
enlightenment is another person's superstition.
Jim Muth
jamth(a)mindspring.com
START PARAMETER FILE=======================================
Lost_in_Hyperspace { ; time=0:00:35.15-SF5 on P4-2000
reset=2004 type=mandel passes=1 center-mag=-1.7798\
20675627445/+0.00000000003688434/4.650485e+011/1/\
50/0 params=0/0 float=y maxiter=40000 inside=255
logmap=-9114 periodicity=6 mathtolerance=0.05/1
colors=000QWtQVsPUsOSrORrNQqNPqMOpLMpLLoKKoJJoJInI\
GnIFmHEmGDlGClFAkE9kE8jD7jD6jC5hC5gB5eB5dB5cA4aA4`\
94Z94Y94X84V83U83T73R73Q63O63N62M52K52J42H42G41F31\
D20231C31B219218106105104002001000wzhmzgcwfUteKqd2\
pc2ob2na2m`2l_2kZ2jY2iX2hW2gV2eU1cU1bT1aS1`R1_Q1YP\
1WO1UN1SM1RL1QK1PJ1OI1MH1LG1KF0JF0IE0GD0FC0EB0DA0C\
90A8097086075064043032021010FUHESGDRFDQFCPECODBNDA\
LCAKB9JB9IA8H98G97F86D76C75B65A5495484363253242131\
121010KZBIWAHU9GS8FQ8DO7CL6BJ6AH58F47D46A358236224\
1120x9ut8rq8on7lk7ih6fe6cb5`_5YX4VU4TR4QO3NL3KI2HF\
2EC1B918605302z6ez5dz5cz5bz5bz5az5`z5`z5_z5Zz5Zz4Y\
z4Xz4Xz4WzUVzUVzUUzUTzUTzUSzURzURzUQzUPzUPzUOzUNzc\
NzcMzcLzcLzcKzcJzcIzcIzcHzcGzcGzcFzcEzcEzcDzcCzcCz\
cBzcAzcAzc9zc8zc8zm7zm6zm6zm5zm4zm4zm3zm2zm2zm1zm0\
zz8zz7zz7zz7zz7zz7zz7zz6zz6zm6zm6zm6zm6zm6zm5zm5zm\
5zm5zm5zm5zm4zm4zm4zm4zzz }
END PARAMETER FILE=========================================
FOTD -- October 09, 2010 (Rating 7)
Fractal visionaries and enthusiasts:
Sometimes I feel that I give too little attention to the
formulas hard-coded into the Fractint program. Today's image
is an attempt to correct this oversight.
To find today's image, I brought up the 'barnsleym1' formula.
Nothing of much interest happened until I tried the active
inside fills on the nearly circular fractal. When I tried the
'zmag' fill, I noticed a curious object on the Y-axis near the
top of the parent fractal. Then, when I started adjusting the
colors, I spotted a ghostly shadow figure in the center of this
object, almost like one of those vague shadows the ghost hunters
on TV pick up with their fancy cameras and then claim they have
photographed the ghost of a dead person.
The image consists totally of 'inside' stuff, though it does not
fall into the category of 'evaporated' images. And for an added
bit of fractal excitement, check the apparently totally-random
stuff at the lower edge of the chaotic area. It gets less
random and more interesting the deeper one goes.
When FL saw the image, she suggested I name it 'Pilot Light',
but being of a philosophical nature, I named the image "Ghost in
the Shell", referring to the hypothetical non-material spiritual
entity that religion tells us we have within our physical bodies.
The rating of a 7 indicates that I consider the image a little
above average.
The calculation time of 30 seconds will pass faster than a
wraith in the night. Those who would rather not be confronted
by a wraith may view the finished on the FOTD web site at:
<http://www.Nahee.com/FOTD/>
Perfect weather prevailed here at Fractal Central on Friday.
In this case, perfection is defined as cloudless skies and a
temperature of 75F 24C. The fractal cats had their thrill when
a stray cat, (of which there are many in the area), wandered
onto the porch and left a reminder that he had been there.
My day was slightly busy. FL kept busy planting bulbs for next
spring. The next FOTD will be posted in 24 hours. Until then,
take care, and I'm skeptical of things I cannot see with my own
eyes. That's why I don't believe in unseen things like ghosts
and atoms, which are widely accepted by the gullible.
Jim Muth
jamth(a)mindspring.com
START PARAMETER FILE=======================================
Ghost_in_the_Shell { ; time=0:00:30.08-SF5 on P4-2000
reset=1730 type=barnsleym1 center-mag=0/1.0724/\
7.226736/0.5936 params=0/0 float=y passes=1
maxiter=500 inside=zmag logmap=yes
colors=000GezGdzFczFbzEazE`zD_zCYzCWzBUzBSzAQzAOz9\
Mz9Kw8Iu8Gs7Er7Cs6Bt69u57v56v47u48t48t49s4Ar4Ar3Bq\
3Cp3Cp3Do3Dn2Ij1Ji1Jh1Kh1Kg1Lf1Mf0Me0Nd0Od0Oc0Pb0P\
b7Q`EQ_LRZSRYUVVWUSXUQZUN_UKaUIbUFdUCeUAdUBcUCcUDb\
UEaUFaUG`UH`UI_UJZUKZULYUMXUNXUOWUPWUQXUTYUWZUYZ_`\
__b``e`agabjbblbcocdqdetdevbduact`ctZbsYbrXarV`0U`\
0T_0R_0QZ0PY0NY0MX0LX0JW0IV0HV08A0AA0CA0EA0GA0IA0K\
A0MA0OA0QA0SA0UA0WA0YA0_A0aA0cA0K0HK0EK0CK0GK0FK0F\
K0EK0EK0EK0DK0DK0CK0CK0BK0BK0AK0AK0AK09K09K08K08K0\
7K07K07K08K09K0AK0AK0BK0CK0DK0DK0EK0FK0GK0GK0HK0IK\
0JK0JK0KK0LK0MK0MK0NK0OK0PK0PK0QK0RK0QK0PK0OK0NK0M\
K0LK0KK0KK0KK0KK0KK0KK0KK0KK0KK0KKSbKScKScKRdKRe0K\
z1Ky2Ky2Ky3Kx3Kx4Kx5Kx5Kw6Kw6KwCKwDKvDKvEKvEKuFKuF\
KuGKuHKtHKtIKtIKtJKsKKsKKsLKrLKrMKrMKrPKqOKqOKqPKq\
PKpQKpRKpRKoSKoSKoTKoTKnUKnVKnVKnWKmWKmXKmYKlYKlZK\
lZKl_Kk_Kk`KkaKkaKjhKjhKj }
END PARAMETER FILE=========================================
Today's fractal does not swirl like a spiral but radiates. Generated with
inside=fmod coloring using an atypical proximity value of 5.
Ready made at good old blogger http://maxitersfractalfollies.blogspot.com.
fract462.gif { ; blank
; blank
; calctime 0:08:08.45
; created Oct 07, 2010
; Fractint Version 2004 Patchlevel 9
reset=2004 type=formula formulafile=_m.frm
formulaname=mand2_zexp_cp_exp
center-mag=-0.09774017521902403/+1.02716193656093500/131.0685
params=0.9942625202185126/-0.3566698202459792/0.9555650502029481/0.78637\
04336680196 float=y maxiter=1500 inside=0 proximity=5 outside=fmod
colors=00100100100100100100100200200200200200200300300300300300300400400\
400400400400500500500500500500600600600600600600700700700700700700800800\
800800800800900900900900900900A00A00A00A00A00A00B00B00B00B00B00B00C00C00\
C00C00C00C00D00E00F00G00I00J00K00L00M00N00P00Q00R00S00T00U00W00X00Y00Z00\
_00a00b00c00d00e00f00h00i00j00k00l00m00o00p00q00r00s00t00v00w00x00z01z02\
z03z04z06z07z08z09z0Az0Bz0Dz0Ez0Fz0Gz0Hz0Iz0Jz0Lz0Mz0Nz0Oz0Pz0Qz0Sz0Tz0U\
z0Vz1Wz1Xz1Xz1Yz1Zz1_z1_z1`z1az1bz1bz1cz1dz1ez1ez1fz1gz1hz1hz1iz1jz1kz1k\
z1lz1mz1nz1nz1oz1pz1qz1qz1rz1sz1tz1tz1uz1vz1wz1wz1xz1yz0zz3zz7zzBzzEzzIz\
zMzzPzzTzzXzz_zzczzgzzjzznzzrzzvzzszzozzkzzhzzdzz`zzYzzUzzQzzNzzJzzFzzCz\
z8zz4zz0zz0zz0yz0yz0xz0xz0wz0wz0vz0vz0uz0uz0tz0tz0sz0sz0rz0rz0qz0qz0pz0p\
z0oz0oz0nz0nz0mz0mz0lz0lz0kz0kz0jz0jz0iz0iz0hz0hz0gz0fz
}
frm:mand2_zexp_cp_exp(XAXIS_NOIMAG) {
;p2 should be min. 1, default=2
x=p2,x=x+(x==0)*2
z=c=pixel:
z=(z*z+c)^x-p1
|z|<4
;SOURCE: mandhack.frm
}
Roger Alexander
Today's post is an astroid,not the asteroid of Jim Muth's recent post.
>From a big rock in outer space to an object on the complex
plane - that's a transition! A three color range orbit trap formula by Paul Carlson.
Ready made at http://maxitersfractalfollies.blogspot.com
fract461.gif { ; astroid not asteroid
; blank
; calctime 0:15:26.65
; created Oct 06, 2010
; Fractint Version 2004 Patchlevel 9
reset=2004 type=formula formulafile=_a.frm formulaname=Astroid_Mset
passes=1
center-mag=-0.10064490259883670/+0.95634738310731750/334.5786
params=0.3/2/3/85 float=y maxiter=1500 inside=0 outside=summ
colors=0z00000y00y00x00x00w00w00v00v00u00u00t00s00s00r00r00q00q00p00p00o\
00o00n00n00m00l00l00k00k00j00j00i00i00h00h00g00f00f00e00e00d00d00c00c00b\
00b00a00a00`00_00_00Z00Z00Y00Y00X00X00W00W00V00U00U00T00T00S00S00R00R00Q\
00Q00P00P00O00N00N00M00M00L00L00K00K00J00J00I00H0z00z00z00z00y00y00y00x0\
0x00x00x00w00w00w00v00v00v00u00u00u00u00t00t00t00s00s00s00r00r00r00r00q0\
0q00q00p00p00p00o00o00o00o00n00n00n00m00m00m00m00l00l00l00k00k00k00j00j0\
0j00j00i00i00i00h00h00h00g00g00g00g00f00f00f00e00e00e00d00d00d00d00c00c0\
0c00b00b00b00a0000z00z00y00y00x00x00w00w00v00u00u00t00t00s00s00r00q00q00\
p00p00o00o00n00m00m00l00l00k00k00j00i00i00h00h00g00g00f00e00e00d00d00c00\
c00b00a00a00`00`00_00_00Z00Y00Y00X00X00W00W00V00U00U00T00T00S00S00R00Q00\
Q00P00P00O00O00N00M00M00L00L00K00K00J00I00I00H00H00G00F
}
frm:
Astroid_Mset {; Copyright (c) Paul W. Carlson, 1997
;****************************************************
; Always use floating point math and outside=summ.
;
; Parameters:
; real(p1) = a factor controlling the width of the curves
; imag(p1) = radius of the astroid
; real(p2) = number of color ranges
; imag(p2) = number of colors in each color range
;
; Note that the equation variable is w, not z. Always
; initialize z to zero.
;****************************************************
w = 0
c = pixel
z = 0
bailout = 0
iter = 0
range_num = 0
i = (0,1)
r = imag(p1)
;****************************************************
; In the accompanying par file, astmset.par,
; we have 8 color ranges with 30 colors in each range
; for a total of 240 colors. The first range starts at
; color 1. Pixels will use color 0 when |w| < 10000.
; Other values can be used here as long as the product
; of num_ranges times colors_in_range is less than 255.
; Color 0 is reserved for the background color and color
; 255 can be used for the inside color.
;****************************************************
num_ranges = real(p2)
colors_in_range = imag(p2)
;****************************************************
; Real(p1) controls the width of the curves.
; These values will usually be in the range 0.001 to 0.1
;****************************************************
width = real(p1)
index_factor = (colors_in_range - 1) / width:
;****************************************************
; The equation being iterated. Almost any equation
; that can be expressed in terms of a complex variable
; and a complex constant will work with this method.
; This example uses the standard Mandelbrot set equation.
;****************************************************
w = w * w + c
;****************************************************
; The orbit trap curve. This example uses an "astroid"
; curve (which has absolutely nothing to do with huge
; rocks in outer space). Any two-dimensional curve can
; be used which can be expressed in parametric form in
; terms of the angle from the origin.
;****************************************************
ang = atan(imag(w) / real(w))
astroid = r * (cos(ang)^3 + i * sin(ang)^3)
;****************************************************
; If the orbit point is within some distance of the curve,
; set z to the index into the colormap and set the bailout
; flag. Note: the way we use the "distance" here has
; the effect of turning the curves inside-out in the image.
;****************************************************
distance = abs(|w| - |astroid|)
IF (distance < width && iter > 1)
z = index_factor * distance + range_num * colors_in_range + 1
bailout = 1
ENDIF
;****************************************************
; Cycle through the range numbers (0 thru num_ranges - 1)
; With two color ranges, even iterations use color
; range 0, odd iterations use color range 1.
;****************************************************
range_num = range_num + 1
IF (range_num == num_ranges)
range_num = 0
ENDIF
;****************************************************
; Since we are using outside=summ, we have to subtract
; the number of iterations from z.
;****************************************************
iter = iter + 1
z = z - iter
;****************************************************
; Finally, we test for bailout
;****************************************************
bailout == 0 && |w| < 1000
;SOURCE: 98msg.frm
}
Roger Alexander
FOTD -- October 08, 2010 (Rating 6)
Fractal visionaries and enthusiasts:
The asteroid impact FOTD image of October 6 went off with a
bang, and yesterday's textured image raised more questions than
it answered, so why not return to the scene for a third time
today?
Today's image shows a curious little minibrot on the broken stem
extending up and to the right from the minibrot in the Asteroid
image of October 6. Like most all minibrots of such low order,
today's minibrot is far from symmetrical. It has most of its
interest on its right side, where a strange twisting and broken
filament shoots out and ultimately terminates.
I named the image "Asteroid Submidget" because that's what it
is. I rated it at a 6 because I have seen far better.
The calculation time of just under 10 minutes is too slow for an
image that rates a mere 6. My advice is to save the time by
viewing the finished image on the FOTD web site at:
<http://www.Nahee.com/FOTD/>
Much improved weather arrived at Fractal Central on Thursday.
When the sun appeared by 9am, the fractal cats perked up. When
the temperature reached 70F 21C, they leaped to their window
shelf and checked for unwanted cats, then began chasing each
other up and down the hallway. One of them overturned a lamp,
but no one saw it happen and both appeared innocent, so the
guilty cat will remain forever a mystery.
My day was slightly busy, while FL kept equally busy in her
garden. The next FOTD will be posted in 24 hours. Until then,
take care, and is there a difference between being real and
being really real?
Jim Muth
jamth(a)mindspring.com
START PARAMETER FILE=======================================
Asteroid_Submidget { ; time=0:10:08.46-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident passes=1
center-mag=-5.611562204517299/-3.172542123229572/\
8.609708e+009/1/98.9/0 params=1.15/0/0/525 float=y
maxiter=32767 inside=0 logmap=604 periodicity=6
colors=000qKanI`lGZjFXgDWeCUcAS`8RZ7PX5NV4MU8NTCOS\
FORJPQNPQQQPUROYRN`SMdSLhTLkTKhRKfPJdOJbMI`LIZJHXI\
HVGHTEGRDGPBFNAFL8EJ7EH5EF4QBMa7cm3uiGZfSCgVBhYBi_\
BcUBcdBcUAccAcUAccAcUAccAccIdPP_AW_0RY2UW3WU5ZS6`Q\
7cO9eNAgLBjJDlHEoFFqDHtBIvAJxCLsDNoEPkFRfGTbHUZIWU\
JYQK_MLaHMcDNd9SbCW`E__GcYIgWKkVMoTOsSQnROiQNdQM_P\
LWPKUOLTOLROMQOMOONNONLOOKOOJOPHOPGOQEOQDORBORAOS9\
OS8QU7RW7TY6U_6Va5Xc4Ye4_g3`i3ak2cm1do1fq0gs0hu1gp\
2fk3eg4db5cY6bU7aP8aLa5Qc6Pe6Og6Ni7Mk7Ll7Kn7Jp8Ir8\
Ht8Gu8FtCGsFHrJIrMJqQKpTLpWPo_UnbZmfcmiclmckpckshf\
emaSgKFKUHMzJOzKPzMRzNTzPUzRWzTYzUZqz`szbuzcwzexzf\
zzbzz_zzWzzTzzPzzMzzIzzFzzCzzLzzNcRQdOSeMUfKXgHZhF\
`jDckBel8gm6jn4ln2mn0mo2no3no5nozzozzozzozzozzozzo\
zzozzozzozzozzozzozzozzozzpzzpzzpzzpzzpzzpzzpzzpzz\
pzzpzzpzzpzzpzzpzzpzzpzzpzzrzzpzzozznzzmzzlzzkzzjz\
zizzhzzgzzfzzdzzczzbzzczz }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, esc=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|<esc }
END PARAMETER FILE=========================================
FOTD -- October 07, 2010 (Rating 6)
Fractal visionaries and enthusiasts:
Today's image is a study of the textures in the area of chaos at
the top of the asteroid minibrot in yesterday's FOTD image. I
named today's image "Outlandish Textures" because the fractured
features filling it are some of the more incredible I have
stumbled upon in my years of investigating the Mandeloids with
exponents of Z between unity and 2.
The rating of a 6 seems about right. A minibrot in the scene
might have added a point or so to the rating. Actually, there
probably are minibrots lurking in the scene or at least nearby,
though I'm not going to search at this time.
The calculation time of just under 5 minutes is somewhat slow.
But time may be saved by viewing the finished image on the FOTD
web site at:
<http://www.Nahee.com/FOTD/>
Heavy clouds and occasional rain put a damper on activity here
at Fractal Central on Wednesday. The temperature of 59F 15C
helped keep things suppressed. The unpleasant weather outside
didn't worry the fractal cats however. They had a very active
morning chasing each other all around FC. When their fun was
over, they spent the afternoon sleeping.
My day was average. FL's day was the same. The next FOTD will
be posted in 24 hours. Until then, take care, and I suppose a
thing is real when I see it with my own eyes, that is unless it
is something disapproved by the high priests of science, such as
a ghost. Then it's merely a hallucination, which, depending on
how one sees it, may or may not be considered a real thing.
Jim Muth
jamth(a)mindspring.com
START PARAMETER FILE=======================================
OutlandishTextures { ; time=0:04:54.89-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident passes=1
center-mag=-5.61156110752/-3.172542314606/7807759/\
1/-171.1/0 params=1.15/0/0/525 float=y maxiter=3000
inside=255 logmap=272 periodicity=6
colors=000zr0wa0vq0ua0ta0sp0r`0q`0po0o`0on0na0nm0m\
c0mm0ld0ll0kf0jm0ig0im0hi0hn0gj0gnAflAfoKemKeoKdoK\
dpKcnBbnAbmLamKamm`lT`lm_lT_kmZkTZjmYjTYjmXiTXimWi\
TWhmVhTVgmUgTUgmTfTSfmSfTRemReTQdmQdTPdmOcTOcTNcTN\
bTMbTMbTK_VIYXHVYFT_DRaCObAMd8Kf7Hg5Fi4Dj5Ci6Ch6Cg\
7Cf8Ce8Cd9Cd9CcACbBCaBC`CC_CC_DCZECYECXFCWGCVGCUHB\
UHBTIBSJBRJBQKBPKBPLBOMBNMBMNBLOBKOBJPBJPBIQBHRBGR\
BFSBESBEVDIYEL`FPgbVgcVgcVfcUfdUfdUedUeeTeeTdeTdfT\
dfScgScgSbgSbhRbhRahRaiRaiQ`iQ`jQ`jQ_kP_kP_kPZlPZl\
OZlOYmOYmOXqLYoNYmOZkPZiQ_gR_fS`dT`bUa`WaZXbYYbWZc\
U_cS`dQadPbeNceLefJffHggGhgEihCjhAki8li7mg6mf6md6m\
c6ma6m`6mZ6mY6mX6mV6mU6mS6mR6mP6mY6hW6hV6hU6hS6hR6\
hP6hO6hM6hL6hJ6hI6hH6hI7gI8gJ8g99g99gAAgAAgABfBBfB\
CfBCfCDfCDfCEfDEeDFeEFeEGeEGeFH`FHeFIeGIdGJdGJdHKd\
HKdHLdILdIMcJMcJNcJNcKOcKOcKPcLPbLQbLQbMRbMRbMSbNS\
bNTbOTaOUaOUaPVaPVaPWaQWa }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, esc=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|<esc }
END PARAMETER FILE=========================================
FOTD -- October 06, 2010 (Rating 7)
Fractal visionaries and enthusiasts:
For some reason, the TV channels these days are filled with
programs about looming catastrophes and the end of civilization.
So why not have one of the looming catastrophes appear in
fractal form? This is just what happened in today's FOTD, which
captures the hypothetical asteroid-impact catastrophe at the
moment of impact.
Actually, the scene shows an order 1.15 minibrot in the parent
fractal that appears when the formula Z^(1.15)+C is iterated at
the MandelbrotBC3 formula's ground level. This parent is shaped
much like the minibrot in today's image, and is decorated on its
southwest side by a field of rather fantastic zigzagging fila-
ments. Today's image lies about halfway out in this field.
The name "Asteroid Impact" says it all.
The rating of a 7 might be a little overdone. The colors appear
a bit too brilliant to me.
The calculation time of 1-3/4 minutes is a lot shorter than the
time it took for the asteroid to reach the earth. And even if
the asteroid never arrives, the finished image is or soon will
be available for instant viewing on the FOTD web site at:
<http://www.Nahee.com/FOTD/>
Chilly temperatures and occasional light rain kept activity
suppressed here at Fractal Central on Tuesday. The fractal cats
leaped to their shelf for joy when the sun briefly appeared in
the afternoon, taking the chill from the temperature of 54F 12C.
Unfortunately, the sun went behind the clouds after bringing
only 5 minutes warmth, and the cats were sorely disappointed.
My day was slow and routine. FL killed time watching those hot
Latin soap operas. The next FOTD will be posted in 24 hours.
Until then, take care, and when will we capture a live bigfoot?
Jim Muth
jamth(a)mindspring.com
START PARAMETER FILE=======================================
Asteroid_Impact { ; time=0:01:43.70-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident
center-mag=-5.61156103006634/-3.172542628607448/\
247530.1/1/-171.1/0 params=1.15/0/0/525 float=y
maxiter=32767 inside=0 logmap=102 periodicity=6
colors=0002AI4BK6CM8DOAEQCFSEGUGHWIIYKJ_MKaOLcQMeS\
NgTOiUPjTQiSRiRSiQThPThOUhNVgMWgLXfKYfJYfIZeH_eG`e\
FadEbdDbdEceFdeGefHffIffJggKhgLihMihOjhQkiSliUliWm\
mYnr_ovaozcpzdqzerwfrwgqwhqwipwjpwkowlormnmnnmommq\
mcsmcujcwhUzeUzcUzaKzZKzXKzUFzSFzQFzNGzLGzIGzGGzEG\
zBGx9Gw6Gv4Gu2Gt3Hs4Hr4Iq5Ip6Jo6Jn7Jm8Kl8Kk9LjALiA\
LhBMgCMfCNeDNdEOcEObFOaGP`GP_HQZIQYIQXHSWHUVHUUGUT\
FUSEURDUQCTPBSOARNAQMAOLAMJAJIAIHAHGAGFAFcRccT`cWX\
cYUc_QcbNcdJcfGc_JcUMcOPcIScFRcBRc8Qc5Pc2zc4zc7zc9\
zAlsBwrBkrmjrmjrCwqmiqmiqDwqmhpmhpmhpmgpEwpmfoFwoF\
fomeoFwnmenGwnmdnGdnIwomboKwpLapm`pNmqOmqPmqQmrRmr\
SmrTmsUmsVmsWmtXmtYmtVmsSmsPmsNmsKmsHmsEmsCmsFmtIm\
tKmtNmuPmuSmuUmvXmvZmvamvdmwfmwimzkmznmzpmzsmzumzx\
mzzmzqmzmmzmmzmmzmmzmmzmmzmmzzzzzzzzzzzzzzzzzzzzzz\
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=========================================
