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Tiling with rectangles

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

Congruent rectangles

Some tiling of rectangles include:

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

Notes