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