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  • HYPERTILING -- a high performa...

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

Title:
HYPERTILING -- a high performance Python library for the generation and visualization of hyperbolic lattices
Authors:
Schrauth, Manuel, Thurn, Yanick, Goth, Florian, Portela, Jefferson S. E., Herdt, Dietmar, Dusel, Felix
Publication Year:
2023
Collection:
High Energy Physics - Lattice
Physics (Other)
Subject Terms:
Physics - Computational Physics, High Energy Physics - Lattice
Document Type:
Report Working Paper
Access URL:
http://arxiv.org/abs/2309.10844
Accession Number:
edsarx.2309.10844
Database:
arXiv

Weitere Informationen

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.
Comment: 54 pages, 21 figures