LFracs Version 1.0
                    Copyright © 1996 Alexander Welisch.
                       All rights reserved, FREEWARE.

DESCRIPTION:

LFracs is a program for drawing L-Fractals (Line-Fractals).

L-Fractals are fractals, that can be generated  in the form of a string by
recursive  expansion  of  a  short  origin  code  (in the  following named
"Axiom"). After that this string can be translated into (drawed as) a pic-
ture.

For example: a = a[0] = "f-f++f-f" (string)  <=>  __/\__ (picture)

"f" means "draw a short line in the current direction"
"+" means "turn right for w=60 degrees"
"-" means "turn left for w=60 degrees"

If you replace each "f" in a with a itself, you'll have a new string:

a[1] = "f-f++f-f - f-f++f-f ++ f-f++f-f - f-f++f-f"

as a picture this would be:

      __/\__
      \    /
__/\__/    \__/\__

Again you can replace each "f" in a[1] with "f-f++f-f", and you'll get

a[2] = "f-f++f-f - f-f++f-f ++ f-f++f-f - f-f++f-f  -
        f-f++f-f - f-f++f-f ++ f-f++f-f - f-f++f-f  ++
        f-f++f-f - f-f++f-f ++ f-f++f-f - f-f++f-f  -
        f-f++f-f - f-f++f-f ++ f-f++f-f - f-f++f-f"
      
so
                        __/\__
                        \    /
                  __/\__/    \__/\__
                  \                /
                  /_              _\
                    \            /
      __/\__      __/            \__      __/\__
      \    /      \                /      \    /
__/\__/    \__/\__/                \__/\__/    \__/\__

In case you begin with another Axiom a, you'll get another picture
too.

Besides "f", "+" and "-" there are the special characters

"(" = "Save your present position"
")" = "Go back to the last saved position (without drawing the
       path to it), then continue executing the command-string"

With the help of these special characters it's possible to ge-
nerate tree-like fractals too, e.g.:

a = a[0] = "f(ffx)(-ffx)+ffx"       (Axiom)
f : "f"                             (means "replace 'f' by 'f'")
x : "f(ffx)(-ffx)+ffx"  (replace each 'x' by 'f(ffx)(-ffx)+ffx')

a[0] as a picture (with start-angle 90°, turn-angle 30°):

                   \ | /
                    \|/
                     |
then is

a[1] = "f(ff f(ffx)(-ffx)+ffx )(-ff f(ffx)(-ffx)+ffx )+ff
        f(ffx)(-ffx)+ffx"

and the picture:
                   \ |\ | /| /
                 ___\| \|/ |/___
                     \  |  /
                      \ | /
                       \|/
                        |


INSTALLATION:

LFracs consists of the following files and directories
(packed in the Lha-archive LFracs.lha):

LFracs (Dir) ____ LFracs (Program)
              |
              |__ Docs (Dir) ____ LF.deutsch.guide (German Documentation)
              |               |__ LF.english.guide (English Documentation)
              |
              |__ Catalogs (Dir) ____ deutsch (Dir) ____ LFracs.catalog
              |
              |__ FracsCodes (Dir) ____ Dragon.code  (Data)
              |                     |__ #?.code
              |                     ...
              |
              |__ FracsPictures (Dir) ____ Dragon12.lfpic (Picture-data)
                                       |__ #?.lfpic
                                       ...
LFracs.readme
LFracs-Source.lha

To install LFracs, simply unpack LFracs.lha in your prefered directory.
Then the directory LFracs and the other Files/Directories will be auto-
matically installed as you see above.
Of importance are the directories "FracsCodes" and "FracsPictures"; the
files "#?.code" and "#?.lfpic" are only example-files, they are not ne-
cessary for the correct functionality of LFracs.
The source-code is packed  in LFracs-Source.lha  (if you don't need it,
you can delete this file).
If you  don't speak  german, you can delete  the Catalogs-Directory and
the LF.deutsch.guide.


COPYRIGHT:

LFracs is FREEWARE!
Permission is granted to make and distribute verbatim copies of LFracs, its 
documentation and sources. The source is  included in this package  and may
be changed in any form for personal use. Such a changed version must NOT be
distributed.

Because LFracs is for free, there`s NO GUARANTEE for perfect functionality.
The  author  cannot be hold  responsible  for any  loss or damage, that  is
caused by the use of LFracs. You use LFracs at your own risk.

LFracs must not be selled; Only a copy-fee of not more than 4 $(US) is per-
mitted.  Besides LFracs mustn't be  distributed with  other commercial pro-
ducts without permission of the author. LFracs  may only be distributed  if
the whole documentation  is included and the package is unchanged  with the
the source-code attached.


AUTHOR:

Please send comments, suggestions, error-reports, hymns of praise and money
to:
             Alexander Welisch
             Kolpingweg 15
             94086 Griesbach
             GERMANY

OR EMAIL: welischkirk.fmi.uni-passau.de

 PERMSSN    UID  GID    PACKED    SIZE  RATIO     CRC       STAMP          NAME
---------- ----------- ------- ------- ------ ---------- ------------ -------------
[generic]                15662   15662 100.0% -lh0- 3dfe Jan  8  1997 LFracs-Source.lha
[generic]                  554    2273  24.4% -lh5- bc0f Jan  2  1997 LFracs.info
[generic]                 1977    5079  38.9% -lh5- 8107 Jan  8  1997 LFracs.readme
[generic]                  420     716  58.7% -lh5- 5aa2 Dec 23  1996 LFracs/Catalogs/deutsch/LFracs.catalog
[generic]                  561    2273  24.7% -lh5- 364d Jan  3  1997 LFracs/Docs.info
[generic]                 6330   16083  39.4% -lh5- 3480 Jan  8  1997 LFracs/Docs/LF.deutsch.guide
[generic]                  336     854  39.3% -lh5- b25b Jan  3  1997 LFracs/Docs/LF.deutsch.guide.info
[generic]                 5808   14965  38.8% -lh5- b0f5 Jan  8  1997 LFracs/Docs/LF.english.guide
[generic]                  334     854  39.1% -lh5- a1b7 Jan  3  1997 LFracs/Docs/LF.english.guide.info
[generic]                   30      34  88.2% -lh5- f1f2 Jan  2  1997 LFracs/FracsCodes/Branch.code
[generic]                   24      25  96.0% -lh5- ee69 Jan  2  1997 LFracs/FracsCodes/Bush.code
[generic]                   18      18 100.0% -lh0- 018c Jan  2  1997 LFracs/FracsCodes/Dragon.code
[generic]                   50      89  56.2% -lh5- e694 Jan  2  1997 LFracs/FracsCodes/Fern.code
[generic]                   51      73  69.9% -lh5- 1919 Jan  2  1997 LFracs/FracsCodes/Fern2.code
[generic]                   21      21 100.0% -lh0- ba0c Jan  2  1997 LFracs/FracsCodes/Fir.code
[generic]                   19      19 100.0% -lh0- a542 Jan  2  1997 LFracs/FracsCodes/Flake.code
[generic]                   29      30  96.7% -lh5- 1968 Jan  2  1997 LFracs/FracsCodes/Hilbert.code
[generic]                   24      26  92.3% -lh5- 4a31 Jan  2  1997 LFracs/FracsCodes/Koch.code
[generic]                   35      50  70.0% -lh5- 8107 Jan  2  1997 LFracs/FracsCodes/Peano.code
[generic]                   50      64  78.1% -lh5- 4738 Jan  2  1997 LFracs/FracsCodes/Pine.code
[generic]                   30      37  81.1% -lh5- 313a Jan  2  1997 LFracs/FracsCodes/Sierpinski3.code
[generic]                   22      22 100.0% -lh0- 534e Jan  2  1997 LFracs/FracsCodes/Sierpinski4.code
[generic]                   16      16 100.0% -lh0- e6ef Jan  2  1997 LFracs/FracsCodes/Stalk.code
[generic]                   38      40  95.0% -lh5- 3dfe Jan  2  1997 LFracs/FracsCodes/Tree.code
[generic]                 1608   27618   5.8% -lh5- dff2 Jan  2  1997 LFracs/FracsPictures/Dragon12.lfpic
[generic]                14302   26620  53.7% -lh5- c62b Jan  6  1997 LFracs/LFracs
[generic]                  464    1510  30.7% -lh5- 3a81 Jan  2  1997 LFracs/LFracs.info
---------- ----------- ------- ------- ------ ---------- ------------ -------------
 Total        27 files   48813  115071  42.4%            Jan 13  1997