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Tiling with rectangles
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<h2 id="congruent-rectangles">Congruent rectangles</h2> <p>Some tiling of rectangles include: </p> <table><tbody><tr><td>Stacked bond</td><td>Running bond</td><td><a href="/facts/Basketweave/FCfvHTq4">Basket weave</a></td><td>Basket weave</td><td><a href="/facts/Herringbone_pattern/enPBfEI4">Herringbone pattern</a></td></tr></tbody></table> <h2 id="tilings-with-non-congruent-rectangles">Tilings with non-congruent rectangles</h2> <p>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.<a class="footnote-ref" id="fnref:1" href="#fn:1"><sup>1</sup></a> </p><p>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.<a class="footnote-ref" id="fnref:2" href="#fn:2"><sup>2</sup></a><a class="footnote-ref" id="fnref:3" href="#fn:3"><sup>3</sup></a> </p> <h2 id="see-also">See also</h2> <ul><li><a href="/facts/Squaring_the_square/8LPIGM4t">Squaring the square</a></li> <li><a href="/facts/Tessellation/7BWDywXC">Tessellation</a></li> <li><a href="/facts/Tiling_puzzle/c9JPlarv">Tiling puzzle</a></li></ul> <h2 id="notes">Notes</h2> <h2 id="references">References</h2> <ol> <li id="fn:1"><p>Madachy, Joseph S. (1998). "Solutions to Problems and Conjectures". Journal of Recreational Mathematics. 29 (1): 73. ISSN 0022-412X. <a href="/wiki/ISSN_(identifier)" target="_blank">/wiki/ISSN_(identifier)</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li> <li id="fn:2"><p>Madachy, Joseph S. (1998). "Solutions to Problems and Conjectures". Journal of Recreational Mathematics. 29 (1): 73. ISSN 0022-412X. <a href="/wiki/ISSN_(identifier)" target="_blank">/wiki/ISSN_(identifier)</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li> <li id="fn:3"><p>Herringbone Tiles on a Bathroom Wall <a href="https://www.viapu.com/herringbone-pattern-in-interior/" target="_blank">https://www.viapu.com/herringbone-pattern-in-interior/</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li> </ol>