Tiling with rectangles

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A tiling with rectangles is a tiling which uses rectangles as its parts.

Contents

[edit] Congruent rectangles

Some tiling of rectangles include:

Stacked bond.png
Stacked bond
Wallpaper group-cmm-1.jpg
Running bond
Wallpaper group-p4g-1.jpg
Basket weave
Basketweave bond.svg
Basket weave
Herringbone bond.svg
Herringbone pattern

[edit] Tilings with non-congruent rectangles

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

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

[edit] See also

[edit] Notes

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