Contents of this directory
--------------------------

Mathematica routines for doing hyperbolic geometry, tessellations and
various calculations. Most of the routines require Mathematica version
2.0 or greater.

Send comments and bug reports to 
  Juha Haataja, Center for Scientific Computing (jhaataja@csc.fi).


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The directory "HT" contains:
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Current version of the HTessellate.m package. Uses a more convenient
syntax for representing geometrical objects. Written and tested for
Mathematica 3.0.

The following files are in this directory:

 menudemo.nb	    Mathematica notebook (version 3.0)
 menudemo.ma	    Mathematica notebook (version 2.0)

 HTessellate.m      Mathematica routines for hyperbolic geometry
 HDraw.m            Mathematica routines for hyperbolic geometry
 HTriangles.m	    Mathematica routines for hyperbolic geometry
 HPolygons.m	    Mathematica routines for hyperbolic geometry

 menudemo.1.eps     A figure produced by the package (EPS format)
 menudemo.2.ps      A figure produced by the package (EPS format)
 menudemo.3.eps     A figure produced by the package (EPS format)
 menudemo.4.eps     A figure produced by the package (EPS format)
 menudemo.5.eps     A figure produced by the package (EPS format)
 menudemo.6.eps     A figure produced by the package (EPS format)
 menudemo.7.eps     A figure produced by the package (EPS format)
 menudemo.8.eps     A figure produced by the package (EPS format)
 menudemo.9.eps     A figure produced by the package (EPS format)
 menudemo.10.eps    A figure produced by the package (EPS format)
 menudemo.11.eps    A figure produced by the package (EPS format)
 menudemo.12.eps    A figure produced by the package (EPS format)
 menudemo.13.eps    A figure produced by the package (EPS format)


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The file HT.tar.Z contains a compressed tar-archive of the
above directory
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The archive HTessellate.tar contains:
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A new (test) version of the Tessellate.m package. Uses a more
convenient syntax for representing geometrical objects. Written for
Mathematica 2.2.


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The archive Tessellate.tar contains:
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Current version of Tessellate.m is 1.3.0 (dated June 14th, 1994).

The basic packages are:

  Tessellate.m        hyperbolic geometry in the unit disk,
                      tessellations
  Moebius.m           some routines for handling Moebius
                      transformations
  CrossRatio.m         routines for calculating the cross ratio
                      of three M-transformations and finding the
                      zero curve the the imaginary part

Some demos are found in the following files:

  Tessellate_demo     demos for hyperbolic tessellations
  Tessellate_mgen     demos, using Moebius transformations
  Tessellate_norm     a regular polygon with normals, center etc
  Tessellate_tri      demos for hyperbolic triangle tessellations
  Pictures_demo       further demos for hyperbolic tessellations
  Triangles.x         some hyperbolic triangles
  CrossRatio_test     cross ratios and the fundamental polygon
  CrossRatio_test.ma  cross ratios... (Mac Notebook)

Separate packages are:

  Torelli.m           calculation of the Torelli mapping
  Torelli_test
  
  TwoDiff.m           routines for 2-differentials
  TwoDiff_test

  Quasi.m             limit sets of quasi-fuchsian groups

  Words.m             routines for generating words of a group