Nonlinear Tessellations

Construction

Step 1

The Poincare disc will be built inside a regular hexagon, whose edges and vertices act as scaffolding for some geodesics of the tiling.
Begin with a regular hexagon, with all its diagonals and perpendicular bisectors of its sides.
A regular hexagon with all its diagonals and the perpendicular bisectors of its sides.

Return to construction.