Also appears in collection : 2026 - T1 - WS2 - Bridging visualization and understanding in Geometry and Topology

In this talk, I will illustrate the important role of visualization—both in generating ideas and in illustrating them—in three of my research topics:

• • Tilings, particularly tilings of the Euclidean plane obtained by digitizing planes in high-dimensional spaces (e.g., Penrose tilings).

• • Packings, specifically disk and sphere packings that aim to maximize density.

• • Fullerenes, in connection with the edge-unfolding conjecture and the approximation of isoperimetric quotients.