============================= Sébastien Labbé Research Code ============================= This is the reference manual for the `Sébastien Labbé `_ Research Code extension to the `Sage `_ mathematical software system. Sage is free open source math software that supports research and teaching in algebra, geometry, number theory, cryptography, and related areas. Sébastien Labbé Research Code implements digital geometry, combinatorics on words and symbolic dynamical systems simulation code in Sage, via a set of new Python classes. Many of the modules corresponds to research code written for published articles (double square tiles, Christoffel graphs, factor complexity). It is meant to be reused and reusable (full documentation including doctests). Comments are welcome. .. [BBL2012]_, [BBGL2011]_, [BGL2012]_ To install this module, you do:: sage -pip install slabbe To use this module, you need to import it:: from slabbe import * This reference manual contains many examples that illustrate the usage of slabbe spkg. The examples are all tested with each release of slabbe spkg, and should produce exactly the same output as in this manual, except for line breaks. This work is licensed under a `Creative Commons Attribution-Share Alike 3.0 License`__. __ https://creativecommons.org/licenses/by-sa/3.0/ Digital Geometry ================ .. toctree:: :maxdepth: 2 discrete_subset discrete_plane billiard christoffel_graph double_square_tile Combinatorics on words ====================== .. toctree:: :maxdepth: 2 kolakoski_word bispecial_extension_type finite_word infinite_word language word_morphisms ostrowski Combinatorics ============= .. toctree:: :maxdepth: 2 joyal_bijection bond_percolation dyck_3d combinat graph partial_injection Dynamical systems ================= .. toctree:: :maxdepth: 2 matrix_cocycle mult_cont_frac diophantine_approx lyapunov markov_transformation matrices polyhedron_partition substitution_2d wang_tiles Miscellaneous ============= .. toctree:: :maxdepth: 2 analyze_sage_build tikz_picture ranking_scale fruit Indices and Tables ================== * :ref:`genindex` * :ref:`modindex` * :ref:`search`