{{Short description | Rectangular tilings using various shapes of rectangles}} A '''tiling with rectangles''' is a tiling which uses rectangles as its parts. The domino tilings are tilings with rectangles of {{math|1 × 2}} side ratio. The tilings with straight polyominoes of shapes such as {{math|1 × 3}}, {{math|1 × 4}} and tilings with polyominoes of shapes such as {{math|2 × 3}} fall also into this category.
== Congruent rectangles == Some tiling of rectangles include: {| class=wikitable |- |150px<br>Stacked bond |150px<br>Running bond |150px<br>Basket weave |150px<br>3×3 Basket weave |150px<br>Herringbone pattern |}
== 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.<ref name="x">{{cite journal|last1=Madachy|first1=Joseph S.|title=Solutions to Problems and Conjectures |journal=Journal of Recreational Mathematics|date=1998|volume=29|issue=1|page=73|issn=0022-412X}}</ref>
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.<ref name="x" /><ref>{{usurped|1=[https://web.archive.org/web/20220525172759/https://www.viapu.com/herringbone-pattern-in-interior/ Herringbone Tiles on a Bathroom Wall]}}</ref>
==See also== * Square tiling * Squaring the square * Tessellation * Tiling puzzle
==Notes== {{reflist}}
{{Tessellation}}
Category:Tessellation Category:Rectangular subdivisions
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