Tiling with rectangles

A tiling with rectangles is a tiling which uses rectangles as its parts. The domino tilings are tilings with rectangles of 1 ×ばつ 2 side ratio. The tilings with straight polyominoes of shapes such as 1 ×ばつ 3, 1 ×ばつ 4 and tilings with polyominoes of shapes such as 2 ×ばつ 3 fall also into this category.

Some tiling of rectangles include:

The smallest square that can be cut into (m ×ばつ n) rectangles, such that all m and n are different integers, is the 11 ×ばつ 11 square, and the tiling uses five rectangles.^[1]

The smallest rectangle that can be cut into (m ×ばつ n) rectangles, such that all m and n are different integers, is the 9 ×ばつ 13 rectangle, and the tiling uses five rectangles.^{[1] [2]}

• Squaring the square
• Tessellation
• Tiling puzzle

• Tessellation
• Rectangular subdivisions
• Geometry stubs

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