Tiling with rectangles
Template:Short description A tiling with rectangles is a tiling which uses rectangles as its parts. The domino tilings are tilings with rectangles of 1 × 2Script error: No such module "Check for unknown parameters". side ratio. The tilings with straight polyominoes of shapes such as 1 × 3Script error: No such module "Check for unknown parameters"., 1 × 4Script error: No such module "Check for unknown parameters". and tilings with polyominoes of shapes such as 2 × 3Script error: No such module "Check for unknown parameters". 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.[1]
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.[1][2]
See also
Notes
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- ↑ a b Script error: No such module "Citation/CS1".
- ↑ Herringbone Tiles on a Bathroom Wall
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