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Drawing Fundamental Domains
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
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.
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.