Contents of this directory
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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