Tiling with rectangles: Difference between revisions

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== 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>[https://www.viapu.com/herringbone-pattern-in-interior/ Herringbone Tiles on a Bathroom Wall]</ref>