The underlying triangulation is opened out and drawn in flat, hyperbolic or spherical geometry depending on Euler characteristic. Disks are coloured to show which are images of the same one. Hyperbolic geometry is shown using the Poincare disk model. Spherical geometry may be shown in 3D or stereographically projected to the plane at the user's choice. Hyperbolic geometry is shown using the Poincare disk model.
Spherical geometry is shown using stereographic projection to the plane.