[urschrei]

Hexagons do tile the Euclidean plane perfectly. They are the largest of the three n-gons that do so.

[rockinghigh]

That's not true when tiling the Earth though. You need 12 pentagons to close the shape on every zoom level, you can't tile the Earth with just hexagons. That's also why footballs stitch together pentagons and hexagons.