Tilings with the Minimal Tile Property

2020/02/07 by Praton, Iwan
#FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2002.02926

Abstract

A square tiling of the unit square is said to have the minimal tile property if the smallest tile can tile all the other tiles. We show that in such a tiling, the smallest tile cannot be too small.

Related

• Minimal tilings of a unit square
• Maximum tilings with the minimal tile property
• Tiling with Small Tiles
• Tiling a rectangle with the fewest squares
• Tileset As: 3 squares with local rules for non-periodic tiling