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1998-04-25
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From: owner-fractint-digest@lists.xmission.com (fractint-digest)
To: fractint-digest@lists.xmission.com
Subject: fractint-digest V1 #175
Reply-To: fractint-digest
Sender: owner-fractint-digest@lists.xmission.com
Errors-To: owner-fractint-digest@lists.xmission.com
Precedence: bulk
fractint-digest Sunday, April 26 1998 Volume 01 : Number 175
----------------------------------------------------------------------
Date: Sat, 25 Apr 1998 21:41:38 -0400 (EDT)
From: cjc26@cornell.edu
Subject: Re: (fractint) Strngy Mandlebrot
On Sat, 25 Apr 1998, Angela Wilczynski wrote:
> No strings. Also, in the first line of the par, there is no float=y > >
What is that? Does that cause the "strings"???? Can float=y be set in one
of the > options?? I looked but didn't see it.
I'm guessing "float=y" means that floating-point is turned on. (The
"Floating Point Algorithm" from the basic options screen)
- --Cliff
http://www.people.cornell.edu/pages/cjc26/
- -
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------------------------------
Date: Sat, 25 Apr 1998 21:10:58 -0500 (CDT)
From: pjcarlsn@ix.netcom.com (Paul and/or Joyce Carlson)
Subject: (fractint) Perfect(?) spiral formula
comment {
This formula and pars create two spiral images using the
Pokorny equation, w=1/(w*w+c), and my flexball rendering
method.
I've called the first image "perfect_spiral" because it
has what I think is a beautiful rate of convergence. The
spiral has a real nice "circularity" to it. Although my
recently posted harlequin spiral is my alltime favorite
spiral, this spiral is the most perfectly shaped spiral
I've seen in a fractal. I don't know - maybe I'm making
too much of it - what do you think?
The second spiral, "solid_spiral," has a more common shape
found in fractal images, but is still quite pretty with a
very solid look to it.
Paul Carlson
}
frm:FlexBalls_Pky {; Copyright (c) Paul W. Carlson, 1998
; p1 = Julia set coordinates
; real(p1) = radius of center of ring (0.01 to 10)
; imag(p2) = one half thickness of ring (0.01 to p1)
; real(p3) = iterations to skip
; imag(p3) = bailout value for |w|
;
w = pixel
c = p1
z = iter = bailout = 0
d0 = real(p2) + imag(p2)
d1 = 0.382683432365 * real(p2)
d2 = 0.923879532511 * real(p2)
dsqd = d0 * d0 + real(p2) * real(p2) - (d0 + d0) * d2
:
w = 1 / (w * w + c)
;
IF ((abs(cabs(w) - real(p2)) < imag(p2)) && iter > real(p3))
bailout = 1
wr = real(w), wi = imag(w)
awr = abs(wr), awi = abs(wi)
IF (awr >= awi)
dist = (awr - d2) * (awr - d2) + (awi - d1) * (awi - d1)
adjust = 1
ELSE
dist = (awr - d1) * (awr - d1) + (awi - d2) * (awi - d2)
adjust = 0
ENDIF
IF (wr >= 0 && wi >= 0)
range_num = 1 - adjust
ELSEIF (wr < 0 && wi >= 0)
range_num = 2 + adjust
ELSEIF (wr < 0 && wi < 0)
range_num = 5 - adjust
ELSE
range_num = 6 + adjust
ENDIF
ratio = sqrt(dist / dsqd)
z = 29 * ratio + range_num * 30 + 1
ENDIF
iter = iter + 1
z = z - iter
bailout == 0 && |w| < imag(p3)
}
perfect_spiral { ; Copyright (c) Paul W. Carlson, 1998
reset=1960 type=formula formulafile=fbpky.frm
formulaname=flexballs_pky passes=t
center-mag=-1.13043/1.0438/28.41217/1/180
params=-0.408904407794/0.5007793232810001/0.12/0.1/50/1000
float=y maxiter=242 inside=253 outside=summ
colors=000zW0<28>c40zz0<28>aG00zR<28>0C40zz<28>0CCGGz<28>00Of\
Oz<28>I0Kz0f<28>O08z88<28>O00000<13>000 cyclerange=1/240
}
solid_spiral { ; Copyright (c) Paul W. Carlson, 1998
reset=1960 type=formula formulafile=fbpky.frm
formulaname=flexballs_pky passes=t
center-mag=0.972403/0.660603/21.17126/1/-37.498
params=-0.401846/0.513278/0.2/0.2/0/1000
float=y maxiter=300 inside=253 outside=summ
colors=000z0f<28>O08z88<28>O00zW0<28>c40zz0<28>aG00zR<28>0C40\
zz<28>0CCGGz<28>00OfOz<28>I0K000<13>000 cyclerange=1/240
}
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------------------------------
Date: Sat, 25 Apr 1998 23:02:28 -0400
From: Gedeon Peteri <gedeon@InfoAve.Net>
Subject: Re: (fractint) Strngy Mandlebrot
Angela Wilczynski wrote:
> As far as I can tell, the mandlebrot that is the default in Fractint isn't
> "stringy" like the one in this par.
>
> Here is a par for the default mandlebrot
>
> No strings. Also, in the first line of the par, there is no float=y
>
> What is that? Does that cause the "strings"???? Can float=y be set in one of the
> options?? I looked but didn't see it.
>
No, float=y does not cause the strings. The default set does not have strings
because it is the full set. The stringy one of your par is a zoom, one of the major
midgets on the spike. It has strings whether you generate it with float or not. Zoom
into its seahorse valley, and you'll see more strings with julias galore there too.
I have no idea why this is so, since the seahorse valley of the full m-set does not
have those strings extending into the middle of the valley. One of the
mathematicians on this list will have to enlighten us about that.
Gedeon
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------------------------------
Date: Sat, 25 Apr 1998 20:20:33 -0700 (MST)
From: Kerry Mitchell <lkmitch@primenet.com>
Subject: Re: (fractint) Strngy Mandlebrot
Here's a heuristic argument (beware of waving hands!):
The midgets have "strings" where the full set does not, and the deeper the
zoom, the more "strings" the midget has. One suggestion is that, when
zooming deeper into the set, you're using more iterations. Each midget
that you find has a point it in that is like (0,0) in the main set: the
orbit of this point contains (0,0). Now, these points can be found by
looking at the locus of all points that have zero in their orbit:
f1(c) = c = 0 gives the main set
f2(c) = f1*f1+c = c*c + c = 0 gives the main set and the large disk
f3(c) = 0 = f2*f2+c gives the large midget at -1.75 and some disks
etc.
Each additional iteration doubles the number of points (midgets or disks)
that there must be. When using many iterations, this number increases
very quickly.
The point? Maybe the midgets are so "stringy" because it provides a place
to put all these other midgets.
Kerry Mitchell
- -------------------------------------------------------------------------------
Kerry Mitchell
lkmitch@primenet.com
- -------------------------------------------------------------------------------
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------------------------------
Date: Sat, 25 Apr 1998 22:29:19 -0500
From: Felix <aduhan@TTACS.TTU.EDU>
Subject: Re: (fractint) Fractal Chatting
This note on chating makes me think: How many of you are on ICQ?
I would be glad to try and organize an informal ICQ gathering time, or even an
official room if a few of you would join...
My ICQ# is 10363110 - you might try me there before posting...
- -Andrew
Angela Wilczynski wrote:
> If anyone would like to join us, Paul Carlson and I will be trying out IRC
> chatting at 8PM Pacific Standard Time on the Undernet. We will be in
> #fractals......
- --
| Andrew Duhan | Cereal is g00d |
| aduhan@ttu.edu | ICQ 10363110 |
| http://chimera.acs.ttu.edu/~aduhan/ |
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------------------------------
Date: Sat, 25 Apr 1998 22:49:05
From: "Nhan Nguyen" <nguy0505@tc.umn.edu>
Subject: Re: (fractint) Got a new printer
Angela,
GOOD GOD!! Is that how much the Epson 3000 cost???!!! I had no clue as to
how much it was. I just heard some amazing stuff it can do. The ink tanks
are also costly is what I heard...around 240.00 or more for all of them.
OUCH!
I just hope that my friend doesn't mess up while printing, that would not be
good. She's a graphics designer to some extent, so she has to get up-to-date
printers. I'm just lucky she accepted my request to print a large fractal
for me. TTYL! Chatting now....
Lucky Lav
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------------------------------
Date: Sat, 25 Apr 1998 23:49:02 -0700
From: Mark Christenson <mchris@hooked.net>
Subject: (fractint) misc. / catching up
comment { commentary and pars by Mark "Bud" Christenson 4/25/98
Hi, all. Sorry I've been incommunicado for a week, but duties
call. I'm finally getting around to some fractal activities. Man,
what a busy bunch of fractal fanatics! So much going on.
Paul continues to churn out new and interesting ways to filet
fractals, Wizzle continues her chromatic wizardry, Tim and
crew continue to bust hump on v20.0, and the rest keep piling
logs on the bonfire.
A few specific notes (in more or less chronological order):
1) Thanks to those who checked my site update, and special
thanks to Wizzle and Gedeon for the kind words
2) Thanks to Janet for the updated resource list
3) To Jim M, I enjoyed "Wackyland" (is he on this list?)
4) Thanks to Paul Lee for indexing Jim's Muth's FOTD
(I know *he's* on this list)
5) Enjoyed Spiralgia2 (Kathy Roth, a modified Gallet from a
Carr formula with a Mitchell "bumpy" palette - puts tie-dye
to shame) and the Etudes, especially No._01 (Bob Margolis
from a Gallet formula - I guess Sylvie was working with real
function fractals long before gravijul-v2!)
I also enjoyed "the_godhead", so much that I had to defile it
(I hope you're not *too* offended, Kathy). I also reaped some
fruit from "the great color map hunt", applying one of Sylvie's
palettes to a new zoom of "Jester". It looks like a feather
headdress to me.
A request: I can't seem to find MyEqn_Julia, Carr2958, and Eqn_5.
Later, Bud
}
;*** pars:
the_godhead-b { ; kathy roth 4-8-98 - recolor by Bud 4/25/98
; Bob Carr's formula modified by Sylvie Gallet
reset=1960 type=formula formulafile=filist.frm formulaname=carr3197
passes=1 center-mag=0.00120777/0.217085/4.191818
params=100/100/100/100 float=y maxiter=3000 inside=253 outside=summ
colors=0000eW<19>022000211<30>zsX<30>222000101<30>w0_<30>202000111<30>ss\
s<30>222000021<30>0zk<5>0ob00V0_k0Zi cyclerange=0/255
}
gja2-023 { ; "Headdress" (c) Bud 4/18/98 / color map by Sylvie Gallet
; "Jester" zoom
reset=1930 type=formula formulafile=budz.frm formulaname=gravijul-a2
function=recip/atanh/atan passes=t
center-mag=1.33227e-015/4.84138/0.2074202
params=1/0.9/-0.02/0/1.05/2.96 float=y maxiter=300 inside=111
decomp=256
colors=vvtwwu<10>wwgwwfwvevud<4>tqZtpYsoXsnVrmUrmT<21>eT6eS5eS5<29>O31N2\
0O41N20<10>Q72R82R82S93TA3<14>gQ5hR5iS4<3>mW3nX2nX2nY2<6>rc0rc0rb0<4>pZ1\
pY1oX2nX2<11>aL4`K4ZI3<2>UG3SG4QF4OF5ME5<2>GC6DB7DB7<74>ssrttsttstts<10>\
vvt000kkk cyclerange=0/255
}
;*** frms:
frm:Carr3197(YAXIS){;Modified Sylvie Gallet frm. [101324,3444],1996
;passes=1 needs to be used with this PHC formula.
pixel=-abs(real(pixel))+flip(imag(pixel)),
d=log(1/pixel-cos(1/pixel))
b4=pixel^2-(0.2*cabs(0.2-pixel^-0.025))
b5=flip(b4)^2-cabs(0.1/pixel-flip(0.01/b4))-conj(0.1/pixel)-0.65
c=whitesq*b4-(whitesq==0)*b4
z=whitesq*b5-(whitesq==0)*b5
c1=1.5*z^1.2,c2=2.25*conj(z),c3=3.375*flip(z),c4=5.0625*flip(z),
l1=real(p1),l2=imag(p1),l3=real(p2),l4=imag(p2),
bailout=16,iter=0:
t1=(iter==l1),t2=(iter==l2),t3=(iter==l3),t4=(iter==l4),
t=1-(t1||t2||t3||t4),z=z*t,c=c*t+c1*t1+c2*t2+c3*t3+c4*t4,
z=z^2+(-0.7456,-0.132)+cabs(|c/7.5|)+flip(real(|d/80*pixel|)),
0iter=iter+1
(|z|)<=bailout
}
frm:gravijul-a2 { ; generalized r^(-2) by Mark "Bud" Christenson 3/6/98
; favors p2
; defaults: p1 = (1,1) p2 = (0,0) p3 = (1,4)
q4 = p2
q2 =real(p1)
q1 = imag(p1) ; new knob 1
q3 = real(p3) ; new knob 2
q5 = imag(p3) ; bailout
z = pixel:
v = fn1(z)
w = q1*(v*v)
z = q3*fn3(q2/fn2(w)) + q4
|z| < q5
}
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------------------------------
Date: Sun, 26 Apr 1998 03:33:03 -0700 (PDT)
From: Jiho Kim <kimjd@plu.edu>
Subject: (fractint) Another mandelbrot
funnel { ; a weird 3d abyss
reset=1960 type=mandel
center-mag=-0.74768045740803170/-0.14830237742746590/4.262502e+009/1.108\
1/180 params=0/0 float=y maxiter=2147483647
colors=CCCsssU0Xrrrb0Oqqqj0Gpppr08oooz00nnnz60mmmzE0lllzM0kkkzU0jjjza0ii\
izi0hhhzq0gggzy0ffftz0eeelz0ddddz0cccXz0bbbPz0aaaHz0```Ex5___BuBZZZ9qHYY\
Y6nNXXX3kTWWW0gZVVV0YeUUU0NkTTT0EqSSS03xRRR60tQQQE0lPPPM0dOOOU0XNNNb0OMM\
Mj0GLLLr08KKKz00JJJz60IIIzE0HHHzM0GGGzU0FFFza0EEEzi0DDDzq0CCCzy0BBBtz0AA\
Alz0999dz0888Xz0777Pz0666Hz0555Ex5444BuB3339qH2226nN1113kT0000gZ0bb0000S\
h1110Jn22208u33320x444A0p555I0h666Q0`777Z0S888f0K999n0CAAAv04BBBz20CCCzA\
0DDDzI0EEEzQ0FFFzY0GGGze0HHHzm0IIIzu0JJJxz0KKKpz0LLLhz0MMM`z0NNNTz0OOOLz\
0PPPFy2QQQDv8RRRAsESSS7pKTTT4mQUUU2jWVVV0bbWWW0ShXXX0JnYYY08uZZZ20x___A0\
p```I0haaaQ0`bbbZ0Scccf0Kdddn0Ceeev04fffz20gggzA0hhhzI0iiizQ0jjjzY0kkkze\
0lllzm0mmmzu0nnnxz0ooopz0ppphz0qqq`z0rrrTz0sssLz0tttFy2uuuDv8vvvAsEwww7p\
Kxxx4mQzzz2jWzzz0bbyyy0Shxxx0Eqwww03xvvv60tuuuE0ltttM0d
}
I don't know if people have discovered this part of the set already, but
I'll submit it anyway... :)
Jiho
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------------------------------
Date: Sun, 26 Apr 1998 08:18:38 EDT
From: Bill at NY <BillatNY@aol.com>
Subject: Re: (fractint) Got a new printer
Hi everyone! I've also been looking to buy a new printer. One model I've
come across is the ALPS MD1300. I sent for their literature and it certainly
appears attractive. (Here's the URL for their website:
http://www.alpsusa.com/cgibin/var/alpsusa/index.html)
Anyway, it's so different from the inkjets that I'd like to get some feedback
from someone out there who has actually tried it. I found it at CompUSA for
$550. They have one set up so that you can print out a "test" image on their
special photographic quality paper. It really looks impressive. But of
course, that's advertising and I'd prefer some real-life stories. Anyone?
Bill
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------------------------------
Date: Sun, 26 Apr 1998 07:40:50 -0500
From: Bob Margolis <rttyman@wwa.com>
Subject: (fractint) Re: A JPL Formula
>
> On Sat, 25 Apr 1998, Bob Margolis wrote:
>
> > spiderM {z=pixel,f=pixel,g=pixel:
> > f=f/p1+z,
> > z=fn1(z^(p2+g))+fn2(f),
> > |z| <= 4 }
>
Hi Team Fractals:
So that it doesn't appear as if I'm the one who originated the spiderM
formula I'm resending it with an inserted credit line to Monsieur JPL.
Bob
spiderM {; by Jean-Pierre Louvet
z=pixel,f=pixel,g=pixel:
f=f/p1+z,
z=fn1(z^(p2+g))+fn2(f),
|z| <= 4 }
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------------------------------
Date: Sun, 26 Apr 1998 09:29:23 -0400
From: Gedeon Peteri <gedeon@InfoAve.Net>
Subject: Re: (fractint) Strngy Mandlebrot
Here are some julia-like structures located on the "strings" of various midgets of the
M-set. All of them have midgets in the center, and lots of other places too. Some of
these are slow.
Gedeon
gp-mand053 {
reset=1960 type=mandel passes=1
corners=-1.90736945521764093029/-1.9073694552176409\
0116/1.6239734721606419e-5/1.6239734721628266e-5
params=0/0 float=y maxiter=5000 bailoutest=or inside=0
colors=0UVXr2Yu2Zw2_x2_x3_x2Zv2Yu2Xs2Vo2Ul1<3>\
LV153V63Z74d84h85m95q95sA6vA6xA6y<2>B6z<2>A5t95q85m<3>\
53WP2L<3>c3_g3bi4fk4jm4nn4qn4un4q<2>i4fg3bd3\
_a3WY3ST2PQ2LBDA<4>WXQ_`UcdXgg`llcopgopgllc<2>__UWWRSTN\
<2>GHDK82<3>dI5iL6mO6<3>xZ8xZ8<2>pR7mO6iL6<2>WD4RB3L820\
L40N40R5<3>0`70b70c80d80d80d8<3>0Z70X60U6<2>0L4I01<2>\
Q02T02V13X13Z13<2>`14`14_14<3>T02R02O02L02I01ML2<9>vv\
6vv6<9>ML23KL3OP4SS5WX<5>8sr9wv8sr<4>5__5WX4SS3OP3KL1Z_1c\
d1gh1km1op1qs2tv2uw2wx2xy2wy2vw2tv1rs1op1lm<3>0VWV02<3>\
l04p05r05u06w06x17y17y17x17w06u06<2>m04<3>W02UNA<2>gXGk`In\
bKqdMsfOuhQviSwiUviSuhQsfOqeMnbKk`I<3>VOAKU1<2>Rh1Ul1Vo2
}
gp-mand060 {
reset=1960 type=mandel passes=1
corners=-0.16741233678878/-0.167412286361673/1.04129739\
136992/1.04129742919025 params=0/0 float=y maxiter=5000
bailoutest=and inside=0
colors=40Wjk_nnbpqdssfuugvvhvwivvhuugssfpqdnnbjk_<3>\
TUMHGT<3>ORjPTnQUpSWsSXuTYvTYvTYvSXuSWsQUpPTn<4>HGTJC8\
<3>SHEUJFVJGXKIYLJYLKZMMZMMYLKYLJ<2>UJFSIEQGC<2>JC8HU1J\
Y1Mb2Pg2Rk2Uo2Vq3Xt3Yv3Yw3Zx3Yw3Yv3Xt3Vq3Uo2<4>HU1E3P<2\
>H4_I5bI5dJ6gJ7jK7kK8lK8mK8lK7kJ7j<2>I5bH4_G4WF3SE3PV31\
<4>q72s82v82x92yA2zA2zA2yA2x92v82s82q72<4>V31WV9`_AecBi\
hCmlDpoFsrGvtHxvIywJyxLywJxvIvtHsrGpoFmlD<3>WV91JU1MZ1P\
c1Rh2Ul2Wp2Xr2Zu2_v3_x3`y3`x2_w2Zu2Xr2Wp<4>1JUL04<2\
>S16U17V17<2>Z19_19_19<3>Y18X18V17U17<3>L04GVF<3>\
PlLRpNTrPUuQVvSVxTWyVWxTVwSUuQTrPRpN<4>GVF40_51d51i61m\
<4>71y71y71y71w71u71s61p61m<3>40WV92ZA2dB2hD3mE3<2>\
vI4xJ4yK4zM4zM4yK4xJ4<2>pF3mE3hD3dB2ZA2V92TUM<2>fgX
}
gp-mand078 {
reset=1960 type=mandel passes=1
center-mag=-1.36813761029174600/+0.00178562423048\
541/8.322979e+010/1/-19.998 params=0/0 float=y maxiter=5000
colors=47OV21W21W31<3>T21S20Q10<2>J10c38h39l3Ap3As4\
Bu4Cw4Dx4Ey4Fy4Fy4Fy4Ew4Du4Cs4Bp3Am3Ai39d3847R<2>69Z\
6Aa7Ab<3>8Dk9Dm9En<4>AHuBIvBIwBJxBJxBKyBLy<2>BKyBJxBJx\
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}
gp-mand083 {
reset=1960 type=mandel passes=1
center-mag=-0.54365421007946350/+0.65464514880706540/5.93\
3912e+007/1/-2.499 params=0/0 float=y maxiter=5000
bailoutest=manh
colors=000Su1<12>1QCW0W<14>zWz<15>W0W777<14>kkk<15>\
777W00<14>zWG<15>W0000W<14>0zz<15>00WG00<14>ylH<15>\
G00000<14>aaa<15>000W92<14>z00<14>W921QC<15>Wz0Ux0
}
gp-mand084 {
reset=1960 type=mandel passes=1
center-mag=-0.54365420422591380/+0.654645139328546\
60/3.108233e+010/1/20 params=0/0 float=y maxiter=5000
bailoutest=manh
colors=A0vuC2vC1xC1wC1xC0xCP<2>wCZ<2>oCgmCkiCmdCo_Cp\
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2PN3OM3<6>GE69C6<2>RC5SC5VC5<2>hC3lC3oC3rC2
}
gp-mand097 {
reset=1960 type=mandel passes=1
center-mag=+0.44247053772441490/+0.37514823500652010/58\
4386.5 params=0/0 float=y maxiter=5000 bailoutest=or
logmap=131 logmode=fly
colors=C9EN15<5>V29X29X29<11>F020CK1HQ1LV1O_1Sc2Xh2`l2\
do2gr3lu<2>3wx3tx3pv3lu2gr2do2`l2Xi1Sd1O_1LW1HR0CLGAGKBJ\
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}
gp-mand101 {
reset=1960 type=mandel passes=1
corners=-1.941540801902466/-1.941540798995427/0.00033426201\
30836713/0.0003342641933627336 params=0/0 float=y maxiter=5000
colors=C9Em46<2>_34V34P23J2211D<11>53v53v<11>11DDC9<4>\
WWR__UccXgg_kkcnofrsjtuktukrsj<2>gg_ccX__UWWRSSN<3>DC9IC0\
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}
gp-mand103 {
reset=1960 type=mandel passes=1
corners=-0.1595205252184/-0.1595087300444/1.03825115891/1.038\
27551539/-0.1595281230913/1.03826235549 params=0/0 float=y
maxiter=5000 bailoutest=or inside=0
colors=G11WBF<6>vLSvLS<6>WBFVVV<6>tuutuu<6>VVVW8X<6>uCvuCv\
<6>W8XAWW<6>CvuCvu<6>AWWJ21<4>U32X33X33<6>G114W4<6>8u78u7\
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}
gp-mand107 {
reset=1960 type=mandel passes=1
center-mag=-0.168865355890532788/1.04231073272060494/3.026\
135e+013/1/4.928/0.066 params=0/0 float=y maxiter=5000
bailoutest=and inside=0
colors=100o8ps8tw8ww8ws8to8pk8lg7gc7d_6`X6XS5SO5OL4LH3HC2C\
<2>10120040461881BA1GC2JE2NF3R<2>M3bO4fP4iR4mT4qV4uV4u<5>\
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6m06j05<3>U03P02J01<2>200101515918C2CH3HL4LO4OS5SX\
6X_6`c7dg7gk8l
}
gp-mand116 {
reset=1960 type=mandel passes=1
corners=-1.749158522824/-1.749155843172/0.00022610982954\
13/0.0002323830524987/-1.749160569296/0.0002288384590803 \
params=0/0 float=y maxiter=5000 bailoutest=and
colors=C9E1O61K51I41F31F31F3I12<3>c35h45l46p56r57u57w57<2>\
y57<4>m46<2>_34V34P23J2211D<11>53v53v<11>11DDC9<4>WWR__Ucc\
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gW1l_1oc1rg1uk1wo1xs1xw2xs1wo1<2>oc1l_1hW1cS1ZO0VK0PH0JC0F02\
<10>V29X29X29<11>F020CK1HQ1LV1O_1Sc2Xh2`l2do2gr3lu<2>3\
wx3tx3pv3lu2gr2do2`l2Xi1Sd1O_1LW1HR0CLGAGKBJ<2>VFOZGQbIReJS\
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3>UJCPF9JB71F31F31F31I41K5<2>1U72X82Z9<2>2gA2gA<5>1Q6
}
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------------------------------
Date: Sun, 26 Apr 1998 07:46:31 -0700 (PDT)
From: "James R. McKenzie" <whookam88@yahoo.com>
Subject: Re: (fractint) Fractal Chatting
>My ICQ# is 10363110 - you might try me there before posting...
>-Andrew
I can't stand it any more what is an ICQ number? I've seen 'em listed
all overthe INTERNET but I have never seen ANY explaination as to what
or why they are.
James R. McKenzie
WHOOKAM88@YAHOO.COM
_________________________________________________________
DO YOU YAHOO!?
Get your free @yahoo.com address at http://mail.yahoo.com
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------------------------------
Date: Sun, 26 Apr 1998 11:17:35 -0400 (EDT)
From: Jim Muth <jamth@mindspring.com>
Subject: Re: (fractint) misc. / catching up
At 11:49 PM 4/25/98 -0700, you wrote:
>3) To Jim M, I enjoyed "Wackyland" (is he on this list?)
I'm here. I read every letter and run off as many par
files as I can find time for, but I don't talk much on this
list. After all, one learns by listening and gaining new
knowledge rather than by speaking and showing that they do
not yet have the knowledge.
Jim Muth
jamth@mindspring.com
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------------------------------
Date: Sun, 26 Apr 1998 10:32:29 -0500 (CDT)
From: pjcarlsn@ix.netcom.com (Paul and/or Joyce Carlson)
Subject: (fractint) Cycle_me formula
comment {
This formula uses my bubble rendering method with the classic
Mandelbrot equation (mapped to the 1/c plane). The first par,
"cycle_me," I accidentally discovered several years ago - it
has a really nice hypnotic effect when color-cycled. After the
image has been plotted and saved, press the '-' key (the minus
sign key) for an eye-boggling effect.
I also included the "ibubsjul1" par which produces the same
image in a more conventional manner.
Paul Carlson
}
frm:Ibubs_Julia_Mset {; Copyright (c) Paul W. Carlson, 1998
; p1 = if both real(p1) and imag(p1) are zero
; do Mset, otherwise do Julia set.
; real(p2) = maximum contour of minimum sqrt(|w|)
; (this is the outside edge of the bubbles).
; imag(p2) = Value of |w| at bailout.
; real(p3) = number of color ranges.
; imag(p3) = number of colors in each color range.
;
IF (real(p1) == 0 && imag(p1) == 0)
w = 0
c = 1 / pixel
ELSE
w = 1 / pixel
c = p1
ENDIF
z = 0
bailout = 0
iter = 0
range_num = 0
max_w = imag(p2)
num_ranges = real(p3)
colors_in_range = imag(p3)
max_min_w = real(p2)
min_w = 1.0e20:
;
w = w * w + c ; classic Mandelbrot equation
;
temp = sqrt(|w|)
IF (temp < min_w)
min_w = temp
save_range = range_num
ENDIF
IF (|w| > max_w)
IF (min_w < max_min_w)
range_index = (min_w / max_min_w) * (colors_in_range - 1)
z = range_index + save_range * colors_in_range + 1
ELSE
z = 0
ENDIF
bailout = 1
ENDIF
range_num = range_num + 1
IF (range_num == num_ranges)
range_num = 0
ENDIF
iter = iter + 1
z = z - iter
bailout == 0 && |w| < max_w
}
cycle_me { ; Copyright (c) Paul Carlson, 1998
reset=1960 type=formula formulafile=ibubs.frm
formulaname=ibubs_julia_mset passes=t
corners=-1.6899829/-1.5880734/3.62762689/3.70405904
params=-0.770833/0.178571/0.1788955/16/1/240
float=y maxiter=10000 outside=summ
colors=0K70G50C30CB<15>0zy<12>0CB00N<14>FFvGGyFFv<11>00NSA_<1\
4>eNwfOyeNv<11>I0JO07<2>V0DX0G_0H<10>z0e<13>O07000O00<2>V10X2\
1_21a32d32<8>z87<12>O00c40<14>xU0zW0yU0<11>c40aG0<15>zz0<12>a\
G00C3<15>0zQ<9>0O8000<11>000O07
cyclerange=0/241
}
ibubsjul1 { ; Copyright (c) Paul Carlson, 1998
reset=1960 type=formula formulafile=ibubs.frm
formulaname=ibubs_julia_mset passes=t
corners=-1.6899829/-1.5880734/3.62762689/3.70405904
params=-0.770833/0.178571/0.1788955/16/2/125
float=y maxiter=10000 outside=summ
colors=000zz0<123>aG0zVz<123>L5L000<3>000
}
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------------------------------
Date: Sun, 26 Apr 1998 08:50:35 -0700
From: Mark Christenson <mchris@hooked.net>
Subject: (fractint) carr3197... ?
Can someone explain to me what's going on in carr3197?
Carr3197(YAXIS){;Modified Sylvie Gallet frm. [101324,3444],1996
;passes=1 needs to be used with this PHC formula.
pixel=-abs(real(pixel))+flip(imag(pixel)),
d=log(1/pixel-cos(1/pixel))
b4=pixel^2-(0.2*cabs(0.2-pixel^-0.025))
b5=flip(b4)^2-cabs(0.1/pixel-flip(0.01/b4))-conj(0.1/pixel)-0.65
c=whitesq*b4-(whitesq==0)*b4 ; *** what's "whitesq", and what does "==" do?
z=whitesq*b5-(whitesq==0)*b5
c1=1.5*z^1.2,c2=2.25*conj(z),c3=3.375*flip(z),c4=5.0625*flip(z),
l1=real(p1),l2=imag(p1),l3=real(p2),l4=imag(p2),
bailout=16,iter=0:
t1=(iter==l1),t2=(iter==l2),t3=(iter==l3),t4=(iter==l4), ; *** how does ||
operate on
t=1-(t1||t2||t3||t4),z=z*t,c=c*t+c1*t1+c2*t2+c3*t3+c4*t4, ; *** non-booleans?
z=z^2+(-0.7456,-0.132)+cabs(|c/7.5|)+flip(real(|d/80*pixel|)),
0iter=iter+1 ; *** is this actually doing anything? It's not evaluated.
(|z|)<=bailout ; *** what's the difference between (|z|) and |z|?
}
Also, since Fractint defines |z| as modulus squared, we should
be aware that terms like |c/7.5| are actually returning |c/7.5|^2.
Thanks, Bud
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------------------------------
Date: Sun, 26 Apr 1998 10:08:57 -0700
From: "Angela Wilczynski" <wizzle@beachnet.com>
Subject: Re: (fractint) Fractal Chatting
Paul Carlson, Kathy Roth, Earl Simpson and myself got together on the Undernet
last night for a fractal chat. Kathy and Paul are brand new to using IRC
(internet relay chat) but they were doing just great ..........exchanging files,
using utilities, etc........by the end of the session. I hope more of you will
join us next time. Kathy downloaded the software yesterday so I think she can
attest to how easy it is to install and use.
In the hopes that some of the european contingent would like to chat, we've
selected 10AM PST or 6 PM GMT (zulu) next Sunday for another try. Software is
available for download at
http://www.mirc.co.uk/
and I'd be glad to answer any questions you have about it.
We will meet on the Undernet in #fractals. I'll post a reminder Saturday but
mark your calendars now if you'd like to come.
James R. McKenzie wrote:
>
> >My ICQ# is 10363110 - you might try me there before posting...
>
> >-Andrew
>
> I can't stand it any more what is an ICQ number? I've seen 'em listed
> all overthe INTERNET but I have never seen ANY explaination as to what
> or why they are.
>
> James R. McKenzie
>
> WHOOKAM88@YAHOO.COM
ICQ is a variation on chatting and each person who has ICQ software installed
and running is assigned a number. When they log on to the web, this number
notifies interested folks that they are "on" and available to chat, exchange
files, etc.
Angela
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------------------------------
Date: Sun, 26 Apr 1998 14:17:33 EDT
From: SKarl52884 <SKarl52884@aol.com>
Subject: Re: (fractint) Re: A JPL Formula
In a message dated 98-04-25 17:45:09 EDT, you write:
<< Try working with this formula yourself and share your params with your
fractal artist buddies here. I'll upload some soon.
<<< inserted credit line to Monsieur JPL.
Bob
>>>
spiderM {; by Jean-Pierre Louvet
z=pixel,f=pixel,g=pixel:
f=f/p1+z,
z=fn1(z^(p2+g))+fn2(f),
|z| <= 4 }
Bob
>>
~^~^~^~^~^~^~^~^~^~^~^~^~^~^~^~^~^~^~^~^~^~^
Hi
Nice .frm
Here's some minimalist fun!
Have a great Sunday All.
Steve
~~~^~~~~^~~~~~^~~~~~~^~~~~~~~^~~~~~~~^ { I'm gonna get some sleep }
001Smile { ; SK
reset=1960 type=formula formulafile=spiderm.frm formulaname=spiderm
function=sqr/cabs center-mag=0.215369/-0.0418968/0.6512441/1/90
params=1/-946735786/1/0 maxiter=32 outside=1
potential=256/999/-31073 decomp=256
colors=000W00<2>c00<14>zzz<15>c00<14>300000020<14>0c0<15>zzz<15>0c0<14>0\
30000002<14>00c<15>zzz<15>00c<14>003000022<14>0cc<15>zzz<15>0cc<14>03300\
0200<10>U00
}
002Wink! { ; SK
reset=1960 type=formula formulafile=spiderm.frm formulaname=spiderm
function=sqr/conj center-mag=3.7015e-005/-0.0417213/0.6512441/1/90
params=-5.7/-946735786/0.68/0 maxiter=32 outside=1
potential=256/999/-31073 decomp=256
colors=000000Z00`00c00<14>zzz<15>c00<14>300000020<14>0c0<15>zzz<15>0c0<1\
4>030000002<14>00c<15>zzz<15>00c<14>003000022<14>0cc<15>zzz<15>0cc<14>03\
3000200<9>R00000
}
003Namaste { ; SK
reset=1960 type=formula formulafile=spiderm.frm formulaname=spiderm
function=sqr/cabs center-mag=3.6895e-005/-0.0418887/0.6512441/1/90
params=1/-946735786/0.6/0 maxiter=32 outside=1
potential=256/999/-31073 decomp=256
colors=000W00<2>c00<14>zzz<15>c00<14>300000020<14>0c0<15>zzz<15>0c0<14>0\
30000002<14>00c<15>zzz<15>00c<14>003000022<14>0cc<15>zzz<15>0cc<14>03300\
0200<10>U00
}
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------------------------------
Date: Sun, 26 Apr 1998 13:42:53 -0600
From: "Tim Wegner" <twegner@phoenix.net>
Subject: Re: (fractint) misc. / catching up
Jim Muth wrote:
> I'm here. I read every letter and run off as many par
> files as I can find time for, but I don't talk much on this
> list. After all, one learns by listening and gaining new
> knowledge rather than by speaking and showing that they do
> not yet have the knowledge.
Lurk away, Jim! I am sure I speak for those of us here who also
subscribe to fractal-art that we are deeply appreciate your
interesting "Fractal of the Day" series. Amazing how you keep 'em
coming!
For everyone else: to subscribe to fractal-art, send a message to
majordomo@aros.net, message body "subscribe fractal-art".
We have thought of asking Jim to cross-post his "Fractal of the day"
here (and Jay his "Fractal of the night"), but the consensus is that
many folks subscribe to both lists so it would be a waste of
bandwidth to have it both places.
Tim
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Date: Sun, 26 Apr 1998 15:38:23 -0400
From: "Peter Gavin" <pgavin@mindspring.com>
Subject: (fractint) Cool variation on mandelbrot set
This is a multi-part message in MIME format.
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This weekend, I was at the Florida Mu Alpha Theta state math convention, =
and there was a speaker from Florida Atlantic University named Dr. =
Richard Voss. He worked with Benoit Mandelbrot for several years, and =
was very intelligent. He gave a lecture on fractals and their uses =
etc., and I got many ideas about how to play with the Mandelbrot set. =
In this formula, I changed the bailout method, using an ellipse rather =
than a circle for the bailout region, with p1 giving its dimensions. I =
have found that this gives the level sets a kind of 'toothy' shape, =
which looks really cool, and this is more pronounced the larger the =
eccentricity of the ellipse. I plan on trying to use a rectangle next, =
rather than an ellipse. That could be pretty cool looking, I think... =
The speaker showed use on image he rendered using a bailout region =
shaped like a fish, and there were little fish shaped regions in it. It =
had a blue color scheme and the point he zoomed in on looked like a wavy =
shore, which made it look like the fish were jumping out of the sea. It =
looked really cool. But anyways, here's that formula...
Pete
frm:MandEllipse {; Uses an ellipse rather then a circle for the bailout
; value. real(P1) is the square of it's width, and
; imag(P2) is the square of it's height.
z =3D 0, c =3D pixel, a =3D real(p1), b =3D imag(p1):
z =3D z * z + c
real(z) * real(z) / a + imag(z) * imag(z) / b < 1
}
MandEllipse #1 { ; An image using the MandEllipse Formula
reset=3D1960 type=3Dformula formulafile=3Dwierdmnd.frm
formulaname=3DMandEllipse passes=3D3
center-mag=3D-0.11416740306288670/+0.96910114211212610/232.8935
params=3D16/256 float=3Dy maxiter=3D65536 inside=3D0 logmap=3Dyes
symmetry=3Dnone periodicity=3D8
=
colors=3D000U0U<13>000<15>zzz<15>000<15>wg0<15>000<30>0Ni0Ok0Oj<29>012000=
0\
00<93>y0yz0zy0y<14>W0W
}
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charset="iso-8859-1"
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD W3 HTML//EN">
<HTML>
<HEAD>
<META content=3Dtext/html;charset=3Diso-8859-1 =
http-equiv=3DContent-Type>
<META content=3D'"MSHTML 4.72.2106.6"' name=3DGENERATOR>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT face=3DVerdana size=3D2>This weekend, I was at the Florida Mu =
Alpha Theta=20
state math convention, and there was a speaker from Florida Atlantic =
University=20
named Dr. Richard Voss. He worked with Benoit Mandelbrot for =
several=20
years, and was <EM>very</EM> intelligent. He gave a lecture on =
fractals=20
and their uses etc., and I got many ideas about how to play with the =
Mandelbrot=20
set. In this formula, I changed the bailout method, using an =
ellipse=20
rather than a circle for the bailout region, with p1 giving its=20
dimensions. I have found that this gives the level sets a kind of =
'toothy'=20
shape, which looks really cool, and this is more pronounced the larger =
the=20
eccentricity of the ellipse. I plan on trying to use a rectangle =
next,=20
rather than an ellipse. That could be pretty cool looking, I=20
think... The speaker showed use on image he rendered using a =
bailout=20
region shaped like a <EM>fish</EM>, and there were little fish shaped =
regions in=20
it. It had a blue color scheme and the point he zoomed in on =
looked like a=20
wavy shore, which made it look like the fish were jumping out of the =
sea. =20
It looked <EM>really</EM> cool. But anyways, here's that=20
formula...</FONT></DIV>
<DIV><FONT face=3DVerdana size=3D2></FONT> </DIV>
<DIV><FONT face=3DVerdana size=3D2>Pete</FONT></DIV>
<DIV><FONT face=3DVerdana size=3D2></FONT> </DIV>
<DIV><FONT face=3DVerdana size=3D2>frm:MandEllipse {; Uses an ellipse =
rather then a=20
circle for the bailout<BR> ; value. real(P1) is the =
square of=20
it's width, and<BR> ; imag(P2) is the square of it's=20
height.<BR> z =3D 0, c =3D pixel, a =3D real(p1), b =3D =
imag(p1):<BR> z =3D z *=20
z + c<BR> real(z) * real(z) / a + imag(z) * imag(z) / b <=20
1<BR> }</FONT></DIV>
<DIV><FONT face=3DVerdana size=3D2></FONT> </DIV>
<DIV><FONT face=3DVerdana size=3D2>MandEllipse =
#1 { ; An=20
image using the MandEllipse Formula<BR> reset=3D1960 =
type=3Dformula=20
formulafile=3Dwierdmnd.frm<BR> formulaname=3DMandEllipse =
passes=3D3<BR> =20
center-mag=3D-0.11416740306288670/+0.96910114211212610/232.8935<BR> =
=20
params=3D16/256 float=3Dy maxiter=3D65536 inside=3D0 =
logmap=3Dyes<BR> symmetry=3Dnone=20
periodicity=3D8<BR> =20
colors=3D000U0U<13>000<15>zzz<15>000<15>wg0<15=
>000<30>0Ni0Ok0Oj<29>0120000\<BR> =20
00<93>y0yz0zy0y<14>W0W<BR> }</FONT></DIV>
<DIV><FONT face=3DVerdana size=3D2></FONT> </DIV>
<DIV><FONT face=3DVerdana size=3D2></FONT> </DIV></BODY></HTML>
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name="WIERDMND.PAR"
Content-Transfer-Encoding: 7bit
Content-Disposition: attachment;
filename="WIERDMND.PAR"
MandEllipse #1 { ; An image using the MandEllipse Formula
reset=1960 type=formula formulafile=wierdmnd.frm
formulaname=MandEllipse passes=3
center-mag=-0.11416740306288670/+0.96910114211212610/232.8935
params=16/256 float=y maxiter=65536 inside=0 logmap=yes
symmetry=none periodicity=8
colors=000U0U<13>000<15>zzz<15>000<15>wg0<15>000<30>0Ni0Ok0Oj<29>0120000\
00<93>y0yz0zy0y<14>W0W
}
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Content-Type: application/octet-stream;
name="WIERDMND.FRM"
Content-Transfer-Encoding: 7bit
Content-Disposition: attachment;
filename="WIERDMND.FRM"
MandEllipse {; Uses an ellipse rather then a circle for the bailout
; value. real(P1) is the square of it's width, and
; imag(P2) is the square of it's height.
z = 0, c = pixel, a = real(p1), b = imag(p1):
z = z * z + c
real(z) * real(z) / a + imag(z) * imag(z) / b < 1
}
- ------=_NextPart_000_00BC_01BD7129.590D8CE0--
- -
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End of fractint-digest V1 #175
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