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 |
Running bond |
Basket weave |
Basket weave |
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
- ^ a b Journal of Recreational Mathematics, 28:1, p.64
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