HYPERTILING – a high performance Python library for the generation and visualization of hyperbolic lattices
arXiv (Cornell University)(2023)
Abstract
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.
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Key words
visualization,high performance python library,hypertiling
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