Drawing maps on oriented surfaces
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918021939855360 |
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| author | Brinkmann, Gunnar |
| author_facet | Brinkmann, Gunnar |
| contents | In this article we describe a program -- called planar_draw -- to draw maps on oriented surfaces in the plane. The drawings are coded as tikz
files that can easily be manipulated and used in latex documents. Next to plane maps -- a case for which already several programs exist -- the program allows
to draw maps of genus at least one inside a fundamental polygon or with non-contractible cycles displayed as disjoint cycles that have to be identified.
Several options allow to tailor the output for individual needs -- e.g.\ by forcing some edges to be completely inside the fundamental polygon. In
combination with a program embedding graphs, the tool can also be used for graphs that do not already come with an embedding in an orientable surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01480 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Drawing maps on oriented surfaces Brinkmann, Gunnar Computational Geometry In this article we describe a program -- called planar_draw -- to draw maps on oriented surfaces in the plane. The drawings are coded as tikz files that can easily be manipulated and used in latex documents. Next to plane maps -- a case for which already several programs exist -- the program allows to draw maps of genus at least one inside a fundamental polygon or with non-contractible cycles displayed as disjoint cycles that have to be identified. Several options allow to tailor the output for individual needs -- e.g.\ by forcing some edges to be completely inside the fundamental polygon. In combination with a program embedding graphs, the tool can also be used for graphs that do not already come with an embedding in an orientable surface. |
| title | Drawing maps on oriented surfaces |
| topic | Computational Geometry |
| url | https://arxiv.org/abs/2505.01480 |