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 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 

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