Isoperimetric pentagonal tilings. (English) Zbl 1253.52009
From the text: In 2001, T. Hales proved the honeycomb conjecture, which says that regular hexagons provide a least-perimeter tiling of the plane by unit-area regions. In this paper we seek perimeter-minimizing tilings of the plane by unit-area pentagons.
MSC:
| 52C20 | Tilings in \(2\) dimensions (aspects of discrete geometry) |
| 52A40 | Inequalities and extremum problems involving convexity in convex geometry |
