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New on CTAN: luahyperbolic

Date: March 18, 2026 6:10:09 AM CET
Damien Mégy submitted the luahyperbolic package. Version: 2026-03-16 License: cc0 Summary description: Hyperbolic geometry in the Poincaré disk model Announcement text:
This package allows to draw pictures and do computations in plane hyperbolic geometry, in the Poincaré disk model. Computations are done with Lua, and graphics are generated with TikZ. The package is written in Lua and requires lualatex. Features: Draw geodesic lines, segments, polygons, rays, circles, horocycles, hypercycles. Label and mark segments, angles compute intersections of geodesics, circles, symmetries, reflections, exponential maps, automorphisms Draw hyperbolic triangle tilings with a simple LaTeX macro Example tiling : https://raw.githubusercontent.com/dmegy/luahyperbolic/refs/heads/main/triangle-tiling-2-4-5.png
This package is located at https://mirrors.ctan.org/macros/luatex/latex/luahyperbolic More information is at https://ctan.org/pkg/luahyperbolic
Thanks for the upload. For the CTAN Team Manfred Lotz CTAN is run entirely by volunteers and supported by TeX user groups. Please join a user group or donate to one, see https://ctan.org/lugs .

luahyperbolic – Hyperbolic geometry in the Poincaré disk model

This package allows to draw pictures and do computations in plane hyperbolic geometry, in the Poincaré disk model. Computations are done with Lua, and graphics are generated with TikZ. The package is written in Lua and requires Lua

Features:

  • Draw geodesic lines, segments, polygons, rays, circles, horocycles, hypercycles.
  • Label and mark segments, angles
  • Compute intersections of geodesics, circles, symmetries, reflections, exponential maps, automorphisms
  • Draw hyperbolic triangle tilings with a simple macro

Example tiling : https://raw.githubusercontent.com/dmegy/luahyperbolic/refs/heads/main/triangle-tiling-2-4-5.png 

Packageluahyperbolic
Version 2026-03-16
MaintainerDamien Mégy

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