Pentagons Everywhere
Yes, Thomas Hales proved that regular hexagons provide the least-perimeter way to tile the plane with unit-area tiles, even allowing them all to have different shapes:
Math, Teaching, and Other Items of Interest
Archive for 20th November 2011
Yes, Thomas Hales proved that regular hexagons provide the least-perimeter way to tile the plane with unit-area tiles, even allowing them all to have different shapes: