Medium Modular Hexagons: 12

Double-sided paper is a must for the two styles of boxes featured here.
 
Tomoko Fuse designed the fan-topped boxes shown at left and below. Each lid requires 6 rectangular sheets of paper and each base requires 3 square sheets of paper. The fans are NOT made separately and attached; they are integral to the lid's structure.
 
Mark Bolitho designed the hexagons with an iris effect at the center, shown at right and below. Each box requires 12 square sheets, 6 for the lid and 6 for the base.