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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2309.10844 |
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| _version_ | 1866916300556599296 |
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| author | Schrauth, Manuel Thurn, Yanick Goth, Florian Portela, Jefferson S. E. Herdt, Dietmar Dusel, Felix |
| author_facet | Schrauth, Manuel Thurn, Yanick Goth, Florian Portela, Jefferson S. E. Herdt, Dietmar Dusel, Felix |
| contents | HYPERTILING is a high-performance Python library for the generation and visualization of regular hyperbolic lattices embedded in the Poincaré disk model. Using highly optimized, efficient algorithms, hyperbolic tilings with millions of vertices can be created in a matter of minutes on a single workstation computer. Facilities including computation of adjacent vertices, dynamic lattice manipulation, refinements, as well as powerful plotting and animation capabilities are provided to support advanced uses of hyperbolic graphs. In this manuscript, we present a comprehensive exploration of the package, encompassing its mathematical foundations, usage examples, applications, and a detailed description of its implementation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_10844 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | HYPERTILING -- a high performance Python library for the generation and visualization of hyperbolic lattices Schrauth, Manuel Thurn, Yanick Goth, Florian Portela, Jefferson S. E. Herdt, Dietmar Dusel, Felix Computational Physics High Energy Physics - Lattice HYPERTILING is a high-performance Python library for the generation and visualization of regular hyperbolic lattices embedded in the Poincaré disk model. Using highly optimized, efficient algorithms, hyperbolic tilings with millions of vertices can be created in a matter of minutes on a single workstation computer. Facilities including computation of adjacent vertices, dynamic lattice manipulation, refinements, as well as powerful plotting and animation capabilities are provided to support advanced uses of hyperbolic graphs. In this manuscript, we present a comprehensive exploration of the package, encompassing its mathematical foundations, usage examples, applications, and a detailed description of its implementation. |
| title | HYPERTILING -- a high performance Python library for the generation and visualization of hyperbolic lattices |
| topic | Computational Physics High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2309.10844 |