Hyperbolic Constructions

Section 5.2 Hyperbolic Constructions

Many of the standard constructions from Euclidean geometry carry over to the Poincaré disk. For instance, the construction of an equilateral triangle is shown in Figure 5.2.1, and the construction of regular polygons is shown in Figure 5.2.2. Notice that the angles change as the size of these figures varies!

Figure 5.2.1. An equilateral triangle in the Poincaré disk.

Figure 5.2.2. Constructing regular polygons in the Poincaré disk.