Tiling with rectangles: Difference between revisions

Revision as of 10:23, 20 October 2014

Revision as of 03:24, 19 January 2015

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A '''tiling with rectangles''' is a [[tessellation|tiling]] which uses [[rectangle]]s as its parts. The [[Domino tiling|domino tilings]] are tilings with rectangles of {{math|1 X× 2}} side

ratio. The tilings with straight [[polyomino]]es of shapes likesuch as {{math|1 X× 3}}, {{math|1 X× 4}} and

tilings with polyominoes of shapes likesuch as {{math|2 X× 3}} fall also into this category.

== Congruent rectangles ==

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== 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.<ref name="x">''[[Journal of Recreational Mathematics]]'', 28:1, p. 64{{title missing}}</ref>

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.<ref name="x" />

==See also==