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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
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Submission summary
| Authors (as registered SciPost users): | Jefferson Portela · Manuel Schrauth |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2309.10844v2 (pdf) |
| Code repository: | https://git.physik.uni-wuerzburg.de/hypertiling/hypertiling |
| Date submitted: | 2024-05-29 07:59 |
| Submitted by: | Schrauth, Manuel |
| Submitted to: | SciPost Physics Codebases |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| 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.
Author comments upon resubmission
Dear Referees,
Thank you for your careful reading and helpful comments.
Regarding the main criticism on one of the reports, over the need for more detailed documentation:
We opt to have a full code documentation as part of the repository, in order to - as indeed already noted by the referee - avoid an overly long and technical manuscript. This documentation is continuously improved, concomitantly with the code, as the package evolves. Also, providing extensive code details in the manuscript would risk it quickly becoming outdated, as the package developing continues.
Nevertheless, in the revised version of the manuscript we provide a new section (5.1) which addresses the code structure from a high level perspective, employing a uml-type diagram which shows the hierarchy of available kernel classes. We also now explicitly emphasize the availability of an external documentation in the Quick Start section.
Regarding the minor points raised in the report:
- thank you for pointing out the typo in Equation 1
- we added an explanation for the parameter "n" in Section 2.3
- we added some clarification on the relevance of studying epidemic spreading on hyperbolic spaces at the beginning of section 6.1
- we added the coupling constant to the Hamiltonian in Equation 37 and mentioned that it is set negative in the example we give
Best regards, Manuel Schrauth
List of changes
The revised version of the manuscript contains a new section (5.1) which addresses the code structure from a high level perspective, employing a uml-type diagram which shows the hierarchy of available kernel classes. We also now explicitly emphasize the availability of an external documentation in the Quick Start section.
Minor changes:
- we corrected a typo in Equation 1
- we added an explanation for the parameter "n" in Section 2.3
- we added some clarification on the relevance of studying epidemic spreading on hyperbolic spaces at the beginning of section 6.1
- we added the coupling constant to the Hamiltonian in Equation 37 and mentioned that it is set negative in the example we give
Current status:
Reports on this Submission
Report
The authors have positively answered my remarks, and in particular have added a technical section describind the general structure of the library.
Thus I recommend the publication.
I still do not understand eq. (1) and (2). Is it perhaps n=d+1 there?
If so, this should be corrected.
Recommendation
Ask for minor revision