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.
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]
tiling, with, rectangles, tiling, with, rectangles, tiling, which, uses, rectangles, parts, domino, tilings, tilings, with, rectangles, side, ratio, tilings, with, straight, polyominoes, shapes, such, tilings, with, polyominoes, shapes, such, fall, also, into,. 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 Contents 1 Congruent rectangles 2 Tilings with non congruent rectangles 3 See also 4 NotesCongruent rectangles editSome tiling of rectangles include nbsp Stacked bond nbsp Running bond nbsp Basket weave nbsp Basket weave nbsp Herringbone patternTilings with non congruent rectangles editThe 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 editSquaring the square Tessellation Tiling puzzleNotes edit a b Madachy Joseph S 1998 Solutions to Problems and Conjectures Journal of Recreational Mathematics 29 1 73 ISSN 0022 412X Herringbone Tiles on a Bathroom Wall nbsp This geometry related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Tiling with rectangles amp oldid 1181338884, wikipedia, wiki, book, books, library,
