Drawing Fundamental Domains


Paul Kainberger

Short description

DrawFunDoms.m is a Mathematica package for drawing fundamental domains for congruence subgroups in the modular group SL2(ℤ). It was written by Paul Kainberger as part of his master's thesis under supervision of Univ.-Prof. Dr. Peter Paule at the Research Institute for Symbolic Computation (RISC) of the Johannes Kepler University Linz. The idea of the package is based on Helena A. Verrill's Java program for drawing fundamental domains (see here). The package is described in the Master's thesis of Paul Kainberger.


Copyright (C) 2021, 2022 Paul Kainberger This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program. If not, see https://www.gnu.org/licenses.

The Package

For using the package, download the following file and put it into a directory where Mathematica will find it. For a demonstration of the package, see the notebook DrawFunDoms_Demo.nb (also available as PDF).


Versions and Bugs

The current version of the package is 1.1 last updated on June 18, 2022. Please report any bugs or other suggestions to Paul Kainberger.