Minimal tilings of a unit square

2016/07/03 by Praton, Iwan
#FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1607.00660

Abstract

Tile the unit square with n small squares. We determine the minimum of the sum of the side lengths of the n small squares, where the minimum is taken over all tilings of the unit square with n squares.

Related

• Tilings with the Minimal Tile Property
• Maximum tilings with the minimal tile property
• Tiling a unit square with 8 squares
• Tiling with Small Tiles
• Tiling a rectangle with the fewest squares