In the Poincaré disk model, geodesics and horocycles illustrate how lines and circles behave in hyperbolic geometry.

In the Poincaré disk model, a horocycle appears as a circle tangent to the boundary at infinity, its normals converging toward that tangency point.

In the seminar, she presented a new proof about horocyclic geodesics and their role in hyperbolic tessellations.