• Source: 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 × 2 side
ratio. The tilings with straight polyominoes of shapes such as 1 × 3, 1 × 4 and
tilings with polyominoes of shapes such as 2 × 3 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


Squaring the square
Tessellation
Tiling puzzle




Notes

Kata Kunci Pencarian:

• Tiling with rectangles
• Rectangle
• Tetromino
• Euclidean tilings by convex regular polygons
• Polyomino
• Treemapping
• Domino tiling
• Packing problems
• Tessellation
• Squaring the square