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fractint-digest        Friday, February 6 1998        Volume 01 : Number 102




----------------------------------------------------------------------

Date: Thu, 05 Feb 1998 14:27:40 -0800
From: Mark Christenson <[e-mail]>
Subject: Re: (fractint) gravijul

>FYI, the list membership collectively decided that they...
>don't want things sent as attachments....

Okay, but I won't be filling *my* in-box with it!

Bud

*****

comment {

This is a compilation of all of the pars I have submitted
to the list thus far, plus an equal number of new ones,
the formulae, and comments.

Bud 2/5/98

}

5s01 { ; "Between the Shadow and the Star" (c) Mark "Bud" Christenson 1/16/98
  ; something for the B5 fans...

  reset=1930 type=formula formulafile=filist.frm
  formulaname=051597-002 function=sin passes=t
  center-mag=-0.0557669/0/1.572343/1.3333 params=1/0 float=y
  inside=epsiloncross outside=atan viewwindows=1/1/yes/0/0
  colors=00066ADDKGGP<9>PLcQMeRNfRNg<13>`YpaZqb_rc`rdbsect<8>moynqzprz<4>z\
  zz<33>0UU<13>S`LUaKWbJXbIZbH_bG<11>q`2s_0s_0<30>zz0Y00VM5<17>0K0u3Yt2Z0K\
  0<42>0z00z00y0<12>0l00k00j2<20>0Eg000kkk
  }

5s02 { ; something floral (c) Mark "Bud" Christenson 1/16/98

  reset=1930 type=formula formulafile=filist.frm
  formulaname=051597-002 function=conj passes=t
  center-mag=-0.0623949/0/1.229181/1.3333 params=1/0
  float=y inside=170 outside=atan viewwindows=1/1/yes/0/0
  colors=00066ADDKGGP<9>PLcQMeRNfRNg<13>`YpaZqb_rc`rdbsect<8>moynqzprz<3>x\

xzzzzzyz<32>U0UU2U<2>W5TX6SY8RZ9Q_BP<4>eILgKKgLJ<6>mSCmTBnUAnVAoW9<2>q
Z6\
  r`5r`5<11>tg1th1ui0vj0<17>zz0Y00VM5<16>2L10K00UOt2Z0K0<42>0z00z00y0<12>0\
  l00k00j2<20>0Eg000kkk
  }

; ** Morgan Owens' astrophysics formulae
; ** Sadly, most of the neat features vanish with float=yes

ap-102 { ; astrophysics 102 (c) Mark "Bud" Christenson 1/19/98
             ; from a .frm posted by Morgan L. Owens
  reset=1930 type=formula formulafile=filist.frm formulaname=jul1-138
  function=sqr passes=b center-mag=0/0/0.6800012
  params=1.4586/0 outside=real
  colors=000<14>0zz<22>TWYVUWWVV<21>xx2zz0zy0<22>cW0cV0dU0<20>y20z00z01<29\
  >z0xz0zz1z<29>zxzzzzyzy<21>IzIGzGGwH<13>FIZEE`GGa<22>zzz<13>UUUC_sCYs
  }

ap-103 { ; astrophysics 103 (c) Mark "Bud" Christenson 1/19/98
             ; from a .frm posted by Morgan L. Owens
  reset=1930 type=formula formulafile=filist.frm formulaname=jul1-138
  function=recip passes=t center-mag=0.3/0/0.3636482/1.3333
  params=1.4586/0 outside=atan viewwindows=1/1/yes/0/0
  colors=000<5>0SS0XX0__<6>0zz<20>QZ`SXZTWYVUWWVV<17>rr8tt6uu5ww3xx2zz0<23\
  >cW0cV0dU0<20>y20z00z01<22>c0Uc1Vd2W<16>uNrvPtwQuxSwyTxzVz<14>zxzzzzyzy<\
  21>IzIGzGGwH<11>FOWFLYFIZEE`GGa<22>zzz<13>UUUC_sCYs
  }

ap-104 { ; "Bunz", astrophysics 104 (c) Mark "Bud" Christenson 1/19/98
             ; from a .frm posted by Morgan L. Owens
  reset=1930 type=formula formulafile=filist.frm formulaname=jul1-138
  function=cos passes=t center-mag=0/0/0.7700028
  params=1.05/0 outside=atan
  colors=00_FDWNJTRLRTLPVLNXLNZLM<6>fNRhOShOS<12>qV`rWasXbtYct_c<7>yjhzliz\
  nk<6>zxxzzzzzy<32>UU0<11>M_OM`QL`SK`T<4>Fa`EbbCad<14>1cs0dt0dt0et<8>0mv0\
  mv1lu<5>9bkB`iCZhDXfEVeFTc<2>DHZ00_5MT<16>0K0Y3uZ2t0K0<42>0z00z00y0<12>0\
  l00k02j0<20>gE0000kkk
  }

ap-105 { ; "Top", astrophysics 105 (c) Mark "Bud" Christenson 1/19/98
             ; from a .frm posted by Morgan L. Owens
                     ; rotated -90 deg
  reset=1930 type=formula formulafile=filist.frm formulaname=jul1-138
  function=tan passes=b center-mag=1.09615/0/0.6/1/-90
  params=1.6/0 inside=zmag outside=atan

colors=000KKKMKKPKL<3>WKLYKMZKM`LNaLO<3>fNQgORhOSiPTjQU<8>pU_qV`rWasXbt
Y\
  c<8>yjhzliznk<6>zxxzzzzzy<31>VV2UU0TV2<11>M`QL`SK`TJ`VI`W<5>C`dB`eA`f9`g\
  8ah9aj8bk<3>HeoJfpMgqPgs<5>cmz<4>PkvLjvJjuGitEis<3>BenBdmCbk<3>EVeFTcEPa\
  EL`DHZ0005MT<16>0K0Y3uZ2t0K0<42>0z00z00y0<12>0l00k02j0<20>gE0000kkk
  }

ap-106 { ; "Sceptre", ap-106 (c) Mark "Bud" Christenson 1/19/98
             ; from a .frm posted by Morgan L. Owens
  reset=1930 type=formula formulafile=filist.frm formulaname=jul1-138
  function=recip passes=t
  center-mag=0.44851/0/0.4217222/1.3333/-90 params=1.4586/0
  outside=mult viewwindows=1/1/yes/0/0

colors=00000OO000O0OOOSNNWMM_LLcJJgHHiGGkFEmEC<8>vG3wG2xG1zH0zJ0zL0<19
>z\
  x0zz0zz0<61>zzyzzzzzzzzz<124>zzzzzzxxx<12>UUUCs_CsY
  }

; ** gravijul pars

gj01a { ; slight zoom-out of gj01 (c) Mark "Bud" Christenson  1/27/98
  reset=1930 type=formula formulafile=budz.frm formulaname=gravijul
  function=log/flip/asin passes=b
  center-mag=0.213789/-0.204829/3.614976 params=1/0/0/0/4/0
  outside=atan
  colors=0I0<43>0y00z00y0<12>0l00k00j2<28>02w00z21y<20>zVW<20>zx2zz0zy1<41\
  >z2xz0zy0z<34>BNyAOyAOx<35>0K0Y3uZ2t
  }


gj051              { ; "Boxes" (c) Mark "Bud" Christenson 2/1/98
; pretty gold boxes
  reset=1930 type=formula formulafile=budz.frm formulaname=gravijul
  function=tanh/atanh/ident passes=t
  center-mag=0/0.771802/0.8797683 params=1.26/0/0/0/4/0
  float=y inside=111 outside=atan
  colors=000<4>843A53B54C64<16>`IDaJDbKDcLEdMF<8>jYJkZJl`KmaL<14>wvSxwSyyT\

zzU<18>ggLffLeeLeeLddL<18>UUFTTFTTFTTF<30>GGAGGAFFAEEA<10>221000000<103>\
  100
  }

gj052              { ; "whattheheckisit" (c) Mark "Bud" Christenson 2/1/98
  reset=1930 type=formula formulafile=budz.frm formulaname=gravijul
  function=tanh/atanh/ident passes=t
  center-mag=-0.772482/0.951713/13.87626 params=1.12/0.02/0/0/4/0
  float=y inside=111 outside=atan
  colors=OEEQGGSIIUKK<3>ZLM_LN_LN<19>qV`rWasXbtYct_c<7>yjhzliznk<6>zxxzzzy\
  zz<15>WjjUiiTiiShi<12>F_fE_eDZeBYdBYd<8>7Ub7Ub7Tb7Tb6Sa<2>5R`4Q_4PZ4PY4O\
  X<14>0II000<130>000
  }

gj081              { ; "Parasols", (c) Mark "Bud" Christenson 1/25/98
  reset=1930 type=formula formulafile=budz.frm formulaname=gravijul
  function=tanh/atanh/asin passes=t
  center-mag=1.18968/0.963934/1.804124 params=1/0/0/0/4/0 float=y
  inside=bof60 outside=imag
  colors=000SS_<3>cTgfUjhUkjUl<2>tYo<12>zz0<5>ct0_s0Ys3<11>7on5nr3nv0mz1kz\
  3hz<12>TDwVAvX9r<11>p15r00v00z00<30>YVVXXXXWX<29>y2yz0zz1y<23>zlEznCznC<\
  35>zn1zm0zm0zl0zl0<43>zU0zzz
  }

gj09               { ; rel of gj06, (c) Mark "Bud" Christenson 1/25/98
  reset=1930 type=formula formulafile=budz.frm formulaname=gravijul
  function=recip/atanh/atan passes=t
  center-mag=0/0/0.235 params=1/0/0/0/2.95/0
  float=y inside=111
  colors=000PL_<20>oV`pV`rWasXb<9>yjhzliznk<6>zxxzzzyzz<25>D``C__C__<61>11\
  1000000000<115>000
  }

gj09b              { ; (c) Mark "Bud" Christenson 1/28/98
  reset=1930 type=formula formulafile=budz.frm formulaname=gravijul
  function=recip/atanh/atan passes=t
  center-mag=0/0/0.4137324
  params=1/0/0/0/2.95/0 float=y inside=111 outside=atan
  colors=YP2qjE<18>CCs<13>ccseesefs<7>gtxhvxhxyizzgzz<6>UvvSuuSuu<6>LpnLpm\

KolKnkKmj<10>Ia_I_ZIZXIXWIWV<2>JRQJQPJPOJNNJMMKKK<16>VUGWVGXWFYXFZYF<
6>f\
  eEgfEhgDjiC<6>tq5vr3xr2zs0<3>uq5sp7qn9<10>aT4_R3YP2WN1VM1UK0sCE<19>sCqsC\

sqCs<9>YCsEEC<4>PPCSSCSSC<12>qqCssCsqC<19>sECsCCsCE<5>sCQsCSsER<12>sfE0
0\
  0kkk
  }

gj0e               { ; "Vine", (c) Mark "Bud" Christenson 1/25/98
  reset=1930 type=formula formulafile=budz.frm formulaname=gravijul
  function=sin/atanh/exp passes=t
  center-mag=-0.859677/0.701461/1.420455 params=1/0/0/0/4/0 float=y
  inside=111 outside=mult
  colors=0O0<38>0y00z00z01z0<66>kz0kz0mMfmz0<142>zzz cyclerange=0/255
  }

gj0j               { ; "Hearts", (c) Mark "Bud" Christenson 1/25/98
  reset=1930 type=formula formulafile=budz.frm formulaname=gravijul
  function=tan/atanh/sin passes=b center-mag=-1.57089/0/1.9
  params=0.88/0/0/0/100/0 float=y inside=111
  colors=0K00L00M0m00s0U0P0<37>0y00z00z01z0<12>Ew7Fw7Gw7Hw7Iw8<25>grKhrLir\
  LjqMkqMlpN<10>wnSxnTynTzmUzmUzmU<61>zz0zz0zz1<80>zzz
  }

gj0k               { ; "Purple Hearts, Shattered Glass" (c) Mark "Bud"
Christenson  1/31/98
             ; rel of gj09
  reset=1930 type=formula formulafile=budz.frm formulaname=gravijul
  function=recip/atanh/atan passes=b
  center-mag=0/3.59074/0.6213512 params=1/0/0.055/0/2.95/0
  float=y maxiter=300 inside=200
  colors=000J0J<2>R0RU0UV1U<17>nTZpV_qV`<5>vaevcewdfwffxggxigyjh<4>zrpztrz\
  utzwvzxxzzz<16>WjjUiiUii<13>PaaO``O``O``<29>EOOEOOENNDMM<6>AHHAGGBGG<12>\
  X99Y99Y99<6>a88b88b88b88<48>z00z00z00z00z00<50>z00
  }

gj0k21             { ; "Purple Hearts" variant (c) Bud 2/3/98
  reset=1930 type=formula formulafile=budz.frm formulaname=gravijul
  function=recip/atanh/atan passes=t center-mag=0/4.03873/0.6493643
  params=1/0/0.055/0/2.95/0 float=y maxiter=200 inside=200
  outside=atan
  colors=000J0J<2>R0RU0UV1U<11>gKXc00<5>tjjzzz<5>xoownmvmmvlmvkm<14>lTlkRk\
  kQkjOjjNj<14>a2a`0`a2a<3>eEegHghLhjOjkSk<9>yyywxx<7>YddVaaU``<5>ITTGRRGR\
  R<4>CUUBVVBVWBWX<13>8ej7fl9gm<10>ctxfuyhuy<2>NUoFKk8Ag00czzz<101>zzz
  }

gj0l               { ; "Gilt Tile" (c) Mark "Bud" Christenson  2/1/98
             ; rel of gj0a
  reset=1930 type=formula formulafile=budz.frm formulaname=gravijul
  function=ident/atanh/tan passes=t center-mag=0/0/0.2155172/1.3333
  params=0.744/0/0/0/1/0 float=y inside=111 outside=real
  viewwindows=1/1/yes/0/0
  colors=000<6>PESSGWVJYZM_bQb<5>zzY<12>zzwzzzzzz<222>zzz
  }

comment {
 This next one is interesting not because it's pretty,
 but because of its startling resemblance to a classic
 cantor set. The one after is prettier, but loses the
 mathematical interest.
}

gj0v               { ; cantor-like - (c) Mark "Bud" Christenson 2/1/98
  reset=1930 type=formula formulafile=budz.frm formulaname=gravijul
  function=cotanh/atan/flip passes=t
  center-mag=0/0/0.8928231 params=1/0/0/0/5/0
  float=y inside=200
  colors=000<2>M00P00T00<2>a51dA3gF5kL8<3>pZFqaGrdIsgKtjM<3>xwT<8>ywcyweyw\
  fzwhzwj<10>zzz000<206>000
  }

gj0v1              { ; sparkly rendition of gj0v (c) Mark "Bud" Christenson
2/1/98
  reset=1930 type=formula formulafile=budz.frm formulaname=gravijul
  function=cotanh/atan/flip passes=t
  center-mag=0/0/0.8928231 params=1/0/0/0/5/0
  float=y inside=200 outside=imag
  colors=SEE<29>xxTzzUyzV<13>YthWtiWti<29>CijBhkBhkBhk<27>1Zf1Zf0Ye0Xe<94>\
  000000000000000<43>000 cyclerange=0/255
  }

gj11               { ; "Pincer Mania" (c) Bud 2/3/98 - rel of gj0k2
  reset=1930 type=formula formulafile=budz.frm formulaname=gravijul
  function=asinh/atanh/atan passes=b
  center-mag=0/2.46231/0.3521127 params=1/0/0/0/2.95/0
  float=y maxiter=300 inside=200 outside=atan
  colors=00_<22>S0`<6>eMfhQgiSh<2>n_koblqdmrfn<5>xuvzxxzzz<41>V22U00U11<39\
  >btxcvzbtx<4>WkpVinUglTekScjRai<4>MScLQbJO`HM_<5>AAU2451230001K7<2>0K20K\
  00K0<44>0z00z00y0<12>0l00k02j0<20>gE0000kkkFDWNJTRLRTLPVLN
  }

gj12               { ; "Unreasonable Facsimiles" (c) Bud 2/3/98 - rel of gj0k2
  reset=1930 type=formula formulafile=budz.frm formulaname=gravijul
  function=cotanh/tan/atan center-mag=6.93835/0.82766/0.4251411
  params=1/0/0.055/0/2.95/0 float=y maxiter=300 inside=200
  outside=atan
  colors=00000XS1Y<12>YIhUOZ<11>bYkcZld`m<4>igrjhsljumlvnnwopxqrz<4>zzz<15\

>YkkWjjWii<4>VdeUbdUbc<13>PPQOOOOOO<12>_UE`UEaVDbVDcWD<9>ncAodApeArfArg
C\
  siE<10>yuazvcytb<18>U0KID5<6>0007K15K14K0UK00K0<14>0X0RPM0Z0<28>0z00z00y\
  0<12>0l00k00j2<10>0UO0SQ1SQ<14>NLV
  }

comment {
 I took somthing I learned from Kathy Roth and made use
 of the "fillcolor" function to create this throwback
 "Black Light" poster
}

gj0t1              { ; "Black Light" (c) Bud 2/3/98
  reset=1930 type=formula formulafile=budz.frm formulaname=gravijul
  function=atan/asinh/flip passes=b
  center-mag=-2.62013e-014/1.86517e-014/0.4888671 params=1/0/0/0/4/0
  float=y fillcolor=253 inside=200 outside=real
  colors=00000z<3>z0z<3>z00<3>zz0<3>0z0<3>0zz0jz0VzFVzVVz<3>zVz<3>zVV<3>zz\
  V<3>VzV<3>Vzz<2>Vbzhhz<3>zhz<3>zhh<3>zzh<3>hzh<3>hzz<2>hlz<179>zzz00Qzzz\
  ccz
  }

; ** and the formulae

frm:gravijul { ; generalized r^(-2) by Mark Christenson 1/25/98
; defaults: p1 = (1,0) p2 = (0,0) p3 = (4,0)
   z = pixel:

   w = fn1(z)
   z = fn3(p1/fn2(w*w)) + p2
    |z| < p3
  }


frm:jul1-138{ ; astrophysical formula posted by  Morgan L. Owens
 z=pixel:
 z=(1-sqr(p1))/sqr(1-p1*fn1(z)),
 |z|<=4
}

frm:051597-002   {; Linda Allison May 15, 1997
; stars
 z=0;
 c=log(sqr(sqr(pixel))*pixel)*0.2:
 z2=fn1(z)+c
 z=c*(1-z2*z2)/(1+z2*z2)
 |z|<=p1
}



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------------------------------

Date: Thu, 05 Feb 1998 19:27:51 -0800
From: Peter Jakubowicz <[e-mail]>
Subject: (fractint) PsychoFracto 3-D Glasses

I got mine. Dr. J, WHERE ARE THEY?


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------------------------------

Date: Thu, 05 Feb 1998 20:05:44 -0600
From: "Justin A. Kolodziej" <[e-mail]>
Subject: (fractint) 4-Dimensional Hall of Shame

Here are the next 2 inductees into the 4-Dimensional Hall of Shame.  Our
first one does a nice impersionation of Fatou dust, while the second one
_looks_ like it has a few fractal bullet holes in it!

loser3             { ; Tried too hard to impersonate Fatou dust.
  reset=1960 type=julibrot julibrotfromto=1/-1/0/0
  julibrot3d=768/8/8/7/10/24 julibroteyes=2.5 orbitname=quatjul
  center-mag=0/0/0.6666667

params=-0.10933043891673511/0.23576095657411891/0.78000000000000003/0.37\
  /0/0 float=y maxiter=1500 colors=@altern.map
  }

loser4             { ; this one has bullet holes...
  reset=1960 type=julibrot julibrotfromto=1/-1/0/0
  julibrot3d=768/8/8/7/10/24 julibroteyes=2.5 orbitname=hypercomplexj
  function=sqr center-mag=0/0/0.6666667
  params=-0.73740718126301319/0.13657010021143429/0/0/0/0 float=y
  maxiter=1500 symmetry=none colors=@altern.map
  }

If you just can't wait to use your Super Duper Fracto3DVision glasses,
just set the 3D Mode to red-blue...
I just hope these are making the translation from Unix Netscape to
Windows mailers ok. If not, please tell me.

Justin A. Kolodziej
Why pay for an OS when you can get a clearly superior one for free?
Justin Kolodziej is [e-mail]
Marquette University is www.mu.edu

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------------------------------

Date: Thu, 5 Feb 1998 21:35:50 -0500
From: Les St Clair <[e-mail]>
Subject: (fractint) Re: PARTOBAT runtime error

Hi Peter,

>>I used the great partobat (version 3.4 April 97) program on my old
486DX50 PC with good success.
Now I just shifted to a pentium II 300 MHz machine. Starting the
partobat program gives me immediately the message:

   Runtime error 200 at 0488:0091<<

>> Anyone experienced this error too? <<

Yeah, me too!
Ever since I changed to a Pentium II (266 MHz).

The problem, for me, is intermittent. Sometimes it works and sometimes I
get the "runtime error".
When I get the error I just keep trying and eventually Partobat will
launch.

I suggest you send an e-mail to Michael Peters <[e-mail]>
At least he will know that another user is now seeing this problem.

cheers, Les

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Date: Thu, 5 Feb 1998 20:37:59 -0800
From: "Jay Hill" <[e-mail]>
Subject: (fractint) Microsoft does it again and Re: PARTOBAT runtime error

Hi Fractal of the Night fans,

I am told my last night posting was riddled with =3D disease
and even some new illnesses!!!!  This is a first. And there is a
very good reason!  I tried something new. You see, I write the
post in AOLPress, a very nice FREE web page editor. Then
I post it to my page. Then I have a problem, getting HTML to
you all as a normal email. Until last night, I display my page
with Netscape, just mark all and copy to the clipboard. Then
I reply to a list posting replacing the posting text with the clip
board. Then a little editing, change the title and away it goes.

Last night I figured, since I use M$ Internet Mail, surely the
M$ Internet Explorer 3 should work just fine.  Two words---

Yeah, right!

I'm very glad M$ has competition, otherwise --- what else?
If you can not get a good copy from my web site, please email
me and I'll send you a good one.  Last night's post is an import
one, since it will form the basis for a number of spin off posts.

http://home.san.rr.com/jayrhill/FotN/FotN36.html

It was mentioned to me that I cut the color lines in half and
that is not a problem with at least the person emailing me.
Well, that is a function of MY emailer, since it results from
line wrap. I have line wrap set at 80, so in fact I don't need to
cut them. But I forget.  From work I get line wrap.

BTW, the Astronomy 3D blowout (with the 3D glasses) are
on the news stands.

As for PartoBat:
That is three of us that can not run the bat file
Jay

- ----------
> From: Les St Clair <[e-mail]>
> To: INTERNET:[e-mail]
> Subject: (fractint) Re: PARTOBAT runtime error
> Date: Thursday, February 05, 1998 6:35 PM
>
> Hi Peter,
>
[...]
>
> Yeah, me too!
> Ever since I changed to a Pentium II (266 MHz).
>
> The problem, for me, is intermittent. Sometimes it works and sometimes I
> get the "runtime error".
> When I get the error I just keep trying and eventually Partobat will
> launch.
>
> I suggest you send an e-mail to Michael Peters <[e-mail]>
> At least he will know that another user is now seeing this problem.
>
> cheers, Les


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Date: Fri, 6 Feb 1998 00:09:45 -0500 (EST)
From: [e-mail] (Michael Traynor)
Subject: Re: (fractint) Microsoft does it again and Re: PARTOBAT runtime error

Jay wrote:

>I am told my last night posting was riddled with =3D disease
>and even some new illnesses!!!!


Jay,

I got it and no =3D.  Looks like an artifact of someone else's sytem, not
yours.

- --
Mike Traynor

People who like this sort of thing will find this the sort of thing they like.
    Abraham Lincoln

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Date: Thu, 5 Feb 1998 22:35:39 -0800
From: "Jay Hill" <[e-mail]>
Subject: Re: (fractint) Microsoft does it again and the fract prog list

Hi Mike,

- ----------
> From: Michael Traynor <[e-mail]>
> Jay wrote:
>
> >I am told my last night posting was riddled with =3D disease
> >and even some new illnesses!!!!
>
> I got it and no =3D.  Looks like an artifact of someone else's sytem, not
> yours.
>
> --
> Mike Traynor

As we have discussed before, it is a combination of sender and receiver. I
bring
it up because it is the first and only time I have issued the =3D stuff.  And I
did
not change any settings on my emailer. Only used that awful Internet Explorer.
Fraid I'm guilty as I charged! Check out the archive!
http://www.xmission.com/pub/lists/fractint/archive/
and check number 102 or so (now why is it I just looked there and the 4 most
recent archive issues are missing!). I checked this afternoon.

Next topic, why is it the reply to author for the new fractal programming
replies
to the article author, not to the list. Now that is not a setting I can
control.

Now I must get some messages from Dr. J, he is late for tonight's update.

Jay


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Date: Fri, 6 Feb 1998 00:21:14 -0800
From: "Jay Hill" <[e-mail]>
Subject: (fractint) F.O.T.N. (Fractal of the Night) 6 Feb 1998 (Snow Flakes)

F.O.T.N. (Fractal of the Night) 6 Feb 1998 (Snow Flakes)


Is it another calamity for Dr. J? He no sooner plants fresh grass
in the new FractoBowl field than it has snowed! Now this is not
supposed to happen here where just last weekend Dr. J got a
very dark tan in just one day at the beach. Oh well, he has sent
me a beautiful set of Fractoscope pictures. In fractal space, you
will see, snowflakes under the right conditions, can have 3 way
symmetry and have a bluish tint!  This is unlike here in the real
world where snow has a 6 way symmetry and is white (so I'm
told, I live in San Diego).

Look closely at the samples,  they sure look like strange Julia
sets. Indeed they are, and with Siegel disks even!

I really doubt that humans have ever seen these before.  I state
this because the best Siegel disks occur when you use for the
Julia set parameter, the exact edge of a Mandelbrot set
component.  Since these Julia sets have three way symmetry, you
may observe. They must not be from the regular Mandelbrot set.
z := z^2 + c. Correct again, pilgrim. These are generated from
yesterdays formula

1)  z := z^3 + c.

To plot a Julia set (named for Gaston Julia who wrote about
these sets in 1918), we set the initial z according to the screen
pixel and put c to some value called the Julia set parameter.
 Then almost 20 years ago, Benoit Mandelbrot created his sets
which are a map of the Julia sets. Start these by putting c
according to the screen pixel and set z to a critical value of the
iteration formula.

The Mandelbrot set for Equation 1 is in fact, the FractoBowl,
last night's image. The critical value for 1) is zero. Iterations with
c inside the dark green ball field settle to a repeating cycle with a
period of  one. That is, it repeats every time. If c it at the very
edge and is between attached 'buds', then the iterations will never
settle into any cycle ever. They will not diverge either, just
wander in a wiggly orbit, never making up their mind.

It is these wandering orbit points which give us the interesting
Siegel disks.  Before last night's formula

2)    |2*sinh[(asinh(sqrt(-6.75)*c))/3]| <= 1

it has been very difficult to locate these.  It has been suggested
that the discovery of the formula (Eqn 2) has resulted in snow at
the Cove.  Dr. J better be careful what new formulas he
investigates. He might cause Hell to freeze over!  Tonight's frm
file allows us to create an infinite number of Siegel snow flakes.
All we need is for c to be exactly on the edge of the field and
have a generating angle which is irrational.  Here is how Dr. J
does it.

Write Eqn 2) as a mapping of the edge of a circle to the ball field
edge. Let theta (a Greek letter) be the angle in the circle.

3)   2*sinh[(asinh(sqrt(-6.75)*c))/3] = exp(i*theta)

We shall know theta, well er... we can get irrational numbers
using square roots of non-square numbers.

4)  theta = pi*(a + sqrt(b))

Take as an example, a=-2, b=5. Then theta=pi*
0.2360679774998...  Now we solve for c, the edge point.

5)  c=sinh(3*asinh(.5*exp(i*theta)))/sqrt(-6.75)

OK, let's see the frm file.

frm:Colorit-3fJS { ; (c) Jay Hill, 1998
; angle=real(p1)+sqrt(imag(p1))
; angle= log(Julia parameter)/pi
; when real(p1)=0, Julia is on edge of Period 1
component
A=(real(p1)+sqrt(imag(p1)))*sqrt(-1)
c=sinh(3*asinh(.5*exp(pi*A)))/sqrt(-6.75)
z=pixel:
z=z*sqr(z) + c
|z| <=4
}

And some sample snow flakes, Figure 1.

http://home.san.rr.com/jayrhill/FotN/FotN37.html
Figure 1.  Dr. J 's has caused it to snow at FractoBall Field.

Figure 2.  Another of Dr. J 's snow flakes.

Download the frm and par files with more samples.
http://home.san.rr.com/jayrhill/FotN/n980260.txt

Very sorry about the illegal characters in last night's post.
Check the archive to see what some folk had to read.
http://www.xmission.com/pub/lists/fractint/archive/
So I'm reposting a good copy below. Please let me know
if there is any problem. Speaking of problems, my web site
locked me out Tuesday (some access setting) so I posted
one night's page at Geocities. But now all is back at rr.

Stay healthy,
Jay
http://home.san.rr.com/jayrhill/FotN/FotNindx.html


j3-siegel-blue01 { ; (c) Jay Hill, 1998
; -2+sqrt(5) color
reset=1960 type=formula formulafile=*.frm
passes=2
formulaname=Colorit-3fJS center-mag=0/0/0.85
params=-2/5
float=y maxiter=256 inside=bof60 outside=128
periodicity=0
colors=0Wz<60>013012000<191>000
savename=blue01
}

j3-siegel-blue14 { ; (c) Jay Hill, 1998
; -3+sqrt(8) color
reset=1960 type=formula formulafile=*.frm
passes=2
formulaname=Colorit-3fJS center-mag=0/0/0.85
params=-3/8
float=y maxiter=256 inside=bof60 outside=128
periodicity=0
colors=0Wz<60>013012000<191>000
savename=blue14
}

=========================================
F.O.T.N. (Fractal of the Night) 5 Feb 1998 (FractoBall Field)

If it isn't one calamity happening to Dr. J, it is another, and if
neither he will make something happen. Take last night as case in
point. He survives a crash which destroys his Car-dioid landing
him in the hospital. He gets out of there early the next day so he
can watch the FractoBowl games from the front row. And last
night I find out he disrupted the game (well actually the game was
halted for a long boring iteration decision). Anyway, he made the
outrageous claim that he could make borderline decisions about
points being in or out of the FractoBall field in just one iteration.

Now if you have ever waited a seeming eternity for Fractint or
any other fractoviewer to compute through the boundary of a
solid component, well maybe you know how Dr. J and the other
fans felt. But I have my doubts, after all, they have to live with
this. Their whole world is, as nearly as I can tell, a construct of
some mathematical exercise.  Anyway, after the confrontation
with officials which was broadcast for all to see and hear (or
however information gets around in fractal space), Dr. J had to
make good on his boast. And so he has, according to the last
email.  Wait a sec while I put this into my Fractint-o-Viewer
Model 19.6 here....  Let's see the formula file should look like...
WAIT a second. This formula is the one he was asking about
just yesterday in email!

1)    |2*sinh[(asinh(sqrt(-6.75)*c))/3]| <= 1

So that is how he does it. I bet he knew all along!  Just simply
evaluate with complex arithmetic in this function (Eqn 1),
involving hyperbolic functions of the field coordinates. If this
function evaluates to less than or equal to 1, the position is on the
field.   Even a real world person can see how this would really
help. No long delays. Absolutely accurate judgment calls. Boy,
we could use that in some of our sports.  Dr. J wants to plant
darker grass (grass? oh yes fractal grass) on the field. He will use
this formula to quickly lay down the seeds. We should be able to
see this in Figure 1.

Let's see now, to make a formula file here...

frm:Colorit-3f { ; (c) Jay Hill, 1998
; p1= light angle (cos a, sin a)
; use these, float=y inside=0 outside=real
periodicity=0
iter=0, zc = 0, c = pixel, dz=1
; 23 is the color of the period 1 component.
z=23*(|(2*sinh(asinh(sqrt(-6.75)*c)/3))|<=1.0)
done=-(z>0) ; done if we know z is not 0
if(p1==0)
p1=1
endif
: ; initialization.
iter = iter+1 ; gotta count the iterations
dz=3*sqr(zc)*dz+1 ; derivative, dz/dc, a slope
for shading
zc=zc*sqr(zc) + c ; standard MSet cubic
iteration  z=z^3+c
if(|zc| >= 1024) ; Bailout
z = z -8 +
((sin(2*pi*iter/256)*Real(p1*dz/zc))>0) + iter
done=-1 ; Set flag to force an exit.
endif
done >= 0 ; Continue if the flag >=0.
}

Oh yes, where was I...  Right, let's see what the field looks like.
Ah, it is one of the FractoBall fields on an island. How nice.

http://home.san.rr.com/jayrhill/FotN/FotN36.html
Figure 1.  Dr. J 's idea of an ideal FractoBall field.

Stay healthy,
Jay



FractoBowl-field1 { ; (c) Jay Hill, 1998
   ; Dr. J's FractoBowl Field
reset=1960 type=formula formulaname=colorit-3f
center-mag=0/0/0.8522727/1/-90
params=-0.8/-0.6 maxiter=2560
float=y inside=0 outside=real periodicity=0
colors=UmA0Aw0Aw0Ar0Aw0Am09w0Ah09w0A\
c08w0Ed0Hw0Ie0Pw0Mg0Yw0Rh0ew0Vj0nw0Z\
kwmUcSH0mK0U02mJ1U05nI3U07nH5V0AoG6V\
0CoF8W0FpDAW0IqCCX0KqBDX0NrAFX0Pr9HY\
0Ss8JY0Vt6KZ0Xt5MZ0wK0mc0wK0mc0wK0mc\
0wK0mc0wL0mc1wL1mc1wL1lc1wM1lc1wM1lb\
2wM1lb2wN2lb2wN2kb2wN2kb3wO2kb3wO3kb\
3wO3kb3wP3ja4wP3ja4wP3ja4wQ4ja4wQ4ja\
5wQ4ia5wR4ia5wR4ia5wR5i`6wR5i`6wS5h`\
6wS5h`7wS6h`7wT6h`7wT6h`7wT6g_8wU6g_\
8wU7g_8wU7g_8xV7g_9xV7f_9xV8f_9xW8f_\
9xW8fZAxW8fZAxX8eZAxX9eZAxX9eZBxY9eZ\
BxY9eZBxY9dZBxYAdYCxZAdYCxZAdYCxZAdY\
Dx_BdYDx_BcYDx_BcYDx`BcXEx`BcXEx`CcX\
ExaCbXExaCbXFxaCbXFxbDbXFxbDbXFxbDaW\
GxcDaWGxcDaWGxcEaWGxdEaWHxdE`WHxdE`W\
HyeF`WHyfG`VIyfH`VIygJ_VIygK_VJyhL_V\
JyhM_VJyiO_VJyiPZUKyjQZUKyjSZUKykTZU\
KxkUZULxlVYULxlXYULxmYYULxmZYTMxn`YT\
MxnaXTMxobXTMxocXTNxpeXTNxpfXTNxqgWS\
OxqhWSPxrjWSPxrkWSQxslWSQxsnVTRxtoVT\
RxtpVTSxuqVTSxusVTT
savename=FRAFIELD
}


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Date: Fri, 06 Feb 1998 10:06:26 +0100
From: Peter Otterstaetter <[e-mail]>
Subject: Re: (fractint) PARTOBAT runtime error

Hi Les,

> Yeah, me too!
> Ever since I changed to a Pentium II (266 MHz).
> I suggest you send an e-mail to Michael Peters <[e-mail]>
> At least he will know that another user is now seeing this problem.

Just done.

> cheers, Les

cheers, Peter

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Date: Fri, 06 Feb 1998 14:40:20 +0100
From: Guy Marson <[e-mail]>
Subject: Re: (fractint) PARTOBAT runtime error

At 10:01 03.02.1998 +0100, you wrote:
>Hallo Fract'lers,
>
>I used the great partobat (version 3.4 April 97) program on my old
>486DX50 PC
>with good success.
>Now I just shifted to a pentium II 300 MHz machine. Starting the
>partobat program
>gives me immediately the message:
>
>   Runtime error 200 at 0488:0091
>
>What's going wrong? Anyone experienced this error too?
>
>TIA,
>
>Peter
>

Hi Peter,

I 'd like to test the PARTOBAT ver 3.4...
Where can I get it?


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Date: Fri, 06 Feb 1998 09:44:02 -0700
From: Rich Thomson <[e-mail]>
Subject: Re: (fractint) Re: PARTOBAT runtime error

In article <[e-mail]> ,
    Les St Clair <[e-mail]>  writes:
> Yeah, me too!

If anyone would like my free perl script (you can customize it exactly
the way you want) that does everything partobat does and more, just
email me.  You will need a perl interpreter to run it, but there are
freely available pre-compiled interpreters for both DOS and Win95.  I
have even run perl scripts on an 8088!
- --
                                               Rich Thomson
                                               [e-mail]

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Date: Fri, 6 Feb 1998 19:34:37 +1
From: "J.P. Louvet" <[e-mail]>
Subject: Re: (fractint) Microsoft does it again and the fract prog list

le  5 Feb 98 a 22:35, Jay Hill ecrivait (Jay Hill wrote) :

> And I did not change any settings on my emailer. Only used that awful
> Internet Explorer. Fraid I'm guilty as I charged! Check out the archive!

I don't use it often but it is not awful, it is nice.
That follows is translated from my French version :
Go to "Options", then to "Send", click on "Plain text" (or something else,
NOT HTML) and click on the button "parameters" : uncheck MIME.
I think you will not have the =3D problem.
On the other hand, if the receiver has checked MIME in his program (or
something like this), he will never see the =3D because it will be
translated.
Most of us, Frenchmen, use the MIME option to type messages with
accentuated vowels.


Jean-Pierre louvet : [e-mail]
Fractal album :
http://graffiti.cribx1.u-bordeaux.fr/MAPBX/louvet/jpl0.html

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Date: Fri, 06 Feb 1998 18:34:59 +0100
From: Peter Otterstaetter <[e-mail]>
Subject: Re: (fractint) PARTOBAT runtime error

Hi Guy,

> I 'd like to test the PARTOBAT ver 3.4...
> Where can I get it?

you can get the PARTOBAT programme at

http://spanky.triumf.ca/pub/fractals/programs/IBMPC/PARTOB.ZIP

Happy testing.

Peter

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Date: Fri, 06 Feb 1998 16:31:34 -0800
From: Peter Jakubowicz <[e-mail]>
Subject: (fractint) newbie question

Wld someone be kind enough to give me an example of a fractal whose
topological dimension exceeds its Haussdorf-Besicovich dimension? TIA,
sorry if this insults anyone's intelligence, etc.


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Date: Fri, 6 Feb 1998 13:52:46 -0800
From: "Jay Hill"<[e-mail]>
Subject: (fractint) Next years standard Fractint machine

A year from now we will be running Fractint on what?

I predict our standard fractal machine will be:

1) Slot 2 => 4  500MHz processors
2) 100MHz bus, no more ISA
3) PC98
4) DVD-RW  => 5 GByte
5) 23GByte H.D.
6) large format 21" thin display 4000x6000

Comments anyone?

Jay
PS.
7) And =3D disease will finally be conquered.




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Date: Fri, 06 Feb 1998 16:00:57 -0600
From: "Damien M. Jones" <[e-mail]>
Subject: Re: (fractint) Next years standard Fractint machine

Jay,

 - I predict our standard fractal machine will be:

Try about five years, not one. :)

Damien M. Jones   \\
[e-mail]  \\  http://www.icd.com/tsd/  (temporary sanity designs)
                    \\  http://www.fractalus.com/ (fractals are my hobby)


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Date: Fri, 6 Feb 1998 17:04:13 -0500 (EST)
From: Ian Kaplan <[e-mail]>
Subject: Re: (fractint) Next years standard Fractint machine

>
>
> A year from now we will be running Fractint on what?
>
> I predict our standard fractal machine will be:
>
> 1) Slot 2 => 4  500MHz processors
> 2) 100MHz bus, no more ISA
> 3) PC98
> 4) DVD-RW  => 5 GByte
> 5) 23GByte H.D.
> 6) large format 21" thin display 4000x6000
>

Er... one year from today? Not a chance. In two years this will be a
relatively normal config for a new PC, maybe, but right now you couldn't
buy all this if you tried, so "standard"? Nah.

> Comments anyone?
>
> Jay
> PS.
> 7) And =3D disease will finally be conquered.
>

... to be replaced by something equally frustrating and causing as much
discussion. Remember when GUIs were going to make computers easy for
everyone?


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Date: Fri, 06 Feb 1998 15:08:56 -0700
From: Rich Thomson <[e-mail]>
Subject: Re: (fractint) Next years standard Fractint machine

Note: even a VIC-20 could conquer =3D disease, since its caused by
old software.
- --
                                               Rich Thomson
                                               [e-mail]

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End of fractint-digest V1 #102
******************************