Right-angled hexagon tiling of the hyperbolic plane, with moduli tracing a path through genus-2 Teichmüller space
A genus-2 surface can be constructed by doubling a right-angled hexagon in the hyperbolic plane to form a pair of pants, then doubling again across the boundary. This program visualizes the resulting tiling in the Poincare disk model, with three oscillating moduli parameterizing a path through the Teichmuller space of the genus-2 surface. The fundamental domain of the surface (consisting of four hexagons) is highlighted within the tiling.
Controls: WASD to rotate, arrow keys to translate.
