florian/triangle_group_limit_set
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some clarification

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Florian Stecker 2024-02-12 19:43:31 -05:00
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README.md
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# triangle_group_limit_set - visualizer for triangle group limit sets in the projective plane # triangle_group_limit_set - visualizer for triangle group limit sets in the projective plane
This program visualizes the fractal limit set of triangle groups in SL(3,R) in the projective plane. This program visualizes the fractal limit set of triangle groups in SL(3,R) in the projective plane. For the mathematical details, see [our paper].
## Installation & Prerequisites ## ## Installation & Prerequisites ##
This program is written C and exclusively for Linux. It uses [Cairo] for drawing and X11 for input, which means it will only run in the X window system. Besides these, the only required library is the [Gnu Scientific Library (GSL)] including CBLAS. This program is written C and only runs on Linux with the X window system (because that's what I happen to be using). It uses [Cairo] for drawing and X11 for input. We also require the [Gnu Scientific Library (GSL)] including CBLAS.
To build, make sure GCC as well as these libraries are installed, and run To build, just make sure GCC as well as these libraries are installed, and run
make make
Then we can run it for example like this: Then we can run it for example like this:
./limit_set 5 5 5 1 1 1 1.0 1.0 ./limit_set 5 5 5 1 1 1 1.0
The arguments are 6 integers (p1, p2, p3, q1, q2, q3) and two floating point numbers (t,s) describing the triangle group under consideration (initially, t and s can be changed with the arrow keys). The arguments are 6 integers (p1, p2, p3, q1, q2, q3) and a floating point numbers t. Together they discribe the triangle group under consideration (t can be changed with the arrow keys).
The last argument is optional; if it is not given, it defaults to s = 1.
## Key bindings ## Key bindings
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[Cairo]: https://cairographics.org/ [Cairo]: https://cairographics.org/
[Gnu Scientific Library (GSL)]: https://www.gnu.org/software/gsl/ [Gnu Scientific Library (GSL)]: https://www.gnu.org/software/gsl/
[our paper]: https://arxiv.org/abs/2106.11349