SciPost Submission Page
HYPERTILING -- a high performance Python library for the generation and visualization of hyperbolic lattices
by Manuel Schrauth, Yanick Thurn, Florian Goth, Jefferson S. E. Portela, Dietmar Herdt, Felix Dusel
Submission summary
| Ontological classification |
| Academic field: |
Physics |
| Specialties: |
- Condensed Matter Physics - Computational
- Gravitation, Cosmology and Astroparticle Physics
- High-Energy Physics - Theory
- Statistical and Soft Matter Physics
|
| Approach: |
Computational |
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.
List of changes
Typos in Equations (1) and (2) have been fixed.
