Tiling with rectangles

Template:Short description A tiling with rectangles is a tiling which uses rectangles as its parts. The domino tilings are tilings with rectangles of Template:Math side ratio. The tilings with straight polyominoes of shapes such as Template:Math, Template:Math and tilings with polyominoes of shapes such as Template:Math fall also into this category.

Congruent rectangles

Some tiling of rectangles include:

File:Stacked bond.png Stacked bond

File:Wallpaper group-cmm-1.jpg Running bond

File:Wallpaper group-p4g-1.jpg Basket weave

File:Basketweave bond.svg Basket weave

File:Herringbone bond.svg Herringbone pattern

Tilings with non-congruent rectangles

The smallest square that can be cut into (m × n) rectangles, such that all m and n are different integers, is the 11 × 11 square, and the tiling uses five rectangles.

The smallest rectangle that can be cut into (m × n) rectangles, such that all m and n are different integers, is the 9 × 13 rectangle, and the tiling uses five rectangles.

See also

• Squaring the square
• Tessellation
• Tiling puzzle