Tiling of the hyperbolic plane by right-angled pentagons in the Poincaré disk model, deforming through Teichmüller space
In hyperbolic geometry, regular right-angled pentagons exist and tile the plane. A right-angled pentagon is determined by two side lengths satisfying the constraint sinh(A)sinh(B)>1, and reflections in its sides generate a tiling of the hyperbolic plane. This program renders such a tiling in the Poincare disk model, coloring tiles by reflection parity. The side lengths oscillate over time to animate the deformation through Teichmuller space.
Controls: WASD to rotate, arrow keys to translate.
