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arXiv · 2309.10844

HYPERTILING -- a high performance Python library for the generation and visualization of hyperbolic lattices

Manuel Schrauth·Yanick Thurn·Florian Goth·Jefferson S. E. Portela·Dietmar Herdt·Felix Dusel
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Abstract

HYPERTILING is a high-performance Python library for the generation and visualization of regular hyperbolic lattices embedded in the Poincar\'e 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.

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Manuel Schrauth, Yanick Thurn, Florian Goth, Jefferson S. E. Portela, Dietmar Herdt, Felix Dusel. 2023-09-19. HYPERTILING -- a high performance Python library for the generation and visualization of hyperbolic lattices. https://arxiv.org/abs/2309.10844

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