TITLE: how to divide a hexagon into regular polygons
QUESTION [6 upvotes]: I want to cut a hexagon paper into regions of equal areas (more precisely either into squares of side c or into regular hexagons of side c). In both cases some of the papers will be wasted. Is it possible to know what is the best way to waste the minimum of papers? (Maybe something related to the Honeycomb conjecture?)

REPLY [4 votes]: Here are a few nontrivial examples of hexagons in hexagons: