| To construct the hyperbolic tiling above we will refer to a procedure described by Goodman-Strauss. |
| Where convenient we will depart from the strict compass and straightedge constructions, allowing measurements. |
| This tiling consists of triangles with angles 90, 45, and 30. |
| Step 1. Building a hexagon that is the scaffold for building the geodesic sides of some tiles. |
| Step 2. Constructing the circle C bounding the Poincare disc. |
| Step 3. Generating the sides of a tile. |
| Step 4. Finishing the first stage of the construction. |
| Additional constructions. Rotating geodesics to build the next stage of tiles. |
Return to Nonlinear tessellations.