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class="vector-toc-numb">2</span> <span>Characterizations</span> </div> </a> <ul id="toc-Characterizations-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Basic_properties" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Basic_properties"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Basic properties</span> </div> </a> <ul id="toc-Basic_properties-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Diagonals" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Diagonals"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Diagonals</span> </div> </a> <ul id="toc-Diagonals-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Inradius" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Inradius"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Inradius</span> </div> </a> <ul id="toc-Inradius-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Area" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Area"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Area</span> </div> </a> <ul id="toc-Area-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Dual_properties" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Dual_properties"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Dual properties</span> </div> </a> <ul id="toc-Dual_properties-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Cartesian_equation" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Cartesian_equation"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Cartesian equation</span> </div> </a> <ul id="toc-Cartesian_equation-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Other_properties" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Other_properties"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>Other properties</span> </div> </a> <button aria-controls="toc-Other_properties-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Other properties subsection</span> </button> <ul id="toc-Other_properties-sublist" class="vector-toc-list"> <li id="toc-As_the_faces_of_a_polyhedron" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#As_the_faces_of_a_polyhedron"> <div class="vector-toc-text"> <span class="vector-toc-numb">9.1</span> <span>As the faces of a polyhedron</span> </div> </a> <ul id="toc-As_the_faces_of_a_polyhedron-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">10</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">11</span> <span>References</span> </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-External_links" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">12</span> <span>External links</span> </div> </a> <ul id="toc-External_links-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Table of Contents" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Toggle the table of contents</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Rhombus</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in 103 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-103" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">103 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D8%B9%D9%8A%D9%86_(%D9%87%D9%86%D8%AF%D8%B3%D8%A9_%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A9)" title="معين (هندسة رياضية) – Arabic" lang="ar" hreflang="ar" data-title="معين (هندسة رياضية)" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A7%B0%E0%A6%AE%E0%A7%8D%E0%A6%AC%E0%A6%BE%E0%A6%9B" title="ৰম্বাছ – Assamese" lang="as" hreflang="as" data-title="ৰম্বাছ" data-language-autonym="অসমীয়া" data-language-local-name="Assamese" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Rombu" title="Rombu – Asturian" lang="ast" hreflang="ast" data-title="Rombu" data-language-autonym="Asturianu" data-language-local-name="Asturian" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Romb" title="Romb – Azerbaijani" lang="az" hreflang="az" data-title="Romb" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B0%E0%A6%AE%E0%A7%8D%E0%A6%AC%E0%A6%B8" title="রম্বস – Bangla" lang="bn" hreflang="bn" data-title="রম্বস" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%A0%D0%BE%D0%BC%D0%B1" title="Ромб – Bashkir" lang="ba" hreflang="ba" data-title="Ромб" data-language-autonym="Башҡортса" data-language-local-name="Bashkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A0%D0%BE%D0%BC%D0%B1" title="Ромб – Belarusian" lang="be" hreflang="be" data-title="Ромб" data-language-autonym="Беларуская" data-language-local-name="Belarusian" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%A0%D0%BE%D0%BC%D0%B1" title="Ромб – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Ромб" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Rombus" title="Rombus – Central Bikol" lang="bcl" hreflang="bcl" data-title="Rombus" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A0%D0%BE%D0%BC%D0%B1" title="Ромб – Bulgarian" lang="bg" hreflang="bg" data-title="Ромб" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Romb" title="Romb – Bosnian" lang="bs" hreflang="bs" data-title="Romb" data-language-autonym="Bosanski" data-language-local-name="Bosnian" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Lankell" title="Lankell – Breton" lang="br" hreflang="br" data-title="Lankell" data-language-autonym="Brezhoneg" data-language-local-name="Breton" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Rombe" title="Rombe – Catalan" lang="ca" hreflang="ca" data-title="Rombe" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A0%D0%BE%D0%BC%D0%B1" title="Ромб – Chuvash" lang="cv" hreflang="cv" data-title="Ромб" data-language-autonym="Чӑвашла" data-language-local-name="Chuvash" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Koso%C4%8Dtverec" title="Kosočtverec – Czech" lang="cs" hreflang="cs" data-title="Kosočtverec" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Gonyoina_tsazamativi" title="Gonyoina tsazamativi – Shona" lang="sn" hreflang="sn" data-title="Gonyoina tsazamativi" data-language-autonym="ChiShona" data-language-local-name="Shona" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-co mw-list-item"><a href="https://co.wikipedia.org/wiki/Rombu" title="Rombu – Corsican" lang="co" hreflang="co" data-title="Rombu" data-language-autonym="Corsu" data-language-local-name="Corsican" class="interlanguage-link-target"><span>Corsu</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Rhombws" title="Rhombws – Welsh" lang="cy" hreflang="cy" data-title="Rhombws" data-language-autonym="Cymraeg" data-language-local-name="Welsh" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Rombe" title="Rombe – Danish" lang="da" hreflang="da" data-title="Rombe" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Raute" title="Raute – German" lang="de" hreflang="de" data-title="Raute" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-dsb mw-list-item"><a href="https://dsb.wikipedia.org/wiki/Ruta" title="Ruta – Lower Sorbian" lang="dsb" hreflang="dsb" data-title="Ruta" data-language-autonym="Dolnoserbski" data-language-local-name="Lower Sorbian" class="interlanguage-link-target"><span>Dolnoserbski</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Romb" title="Romb – Estonian" lang="et" hreflang="et" data-title="Romb" data-language-autonym="Eesti" data-language-local-name="Estonian" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A1%CF%8C%CE%BC%CE%B2%CE%BF%CF%82" title="Ρόμβος – Greek" lang="el" hreflang="el" data-title="Ρόμβος" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Rombo" title="Rombo – Spanish" lang="es" hreflang="es" data-title="Rombo" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Rombo" title="Rombo – Esperanto" lang="eo" hreflang="eo" data-title="Rombo" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Erronbo" title="Erronbo – Basque" lang="eu" hreflang="eu" data-title="Erronbo" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%84%D9%88%D8%B2%DB%8C" title="لوزی – Persian" lang="fa" hreflang="fa" data-title="لوزی" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Losange" title="Losange – French" lang="fr" hreflang="fr" data-title="Losange" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Rombas" title="Rombas – Irish" lang="ga" hreflang="ga" data-title="Rombas" data-language-autonym="Gaeilge" data-language-local-name="Irish" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Rombo" title="Rombo – Galician" lang="gl" hreflang="gl" data-title="Rombo" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%A7%88%EB%A6%84%EB%AA%A8" title="마름모 – Korean" lang="ko" hreflang="ko" data-title="마름모" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%87%D5%A5%D5%B2%D5%A1%D5%B6%D5%AF%D5%B5%D5%B8%D6%82%D5%B6" title="Շեղանկյուն – Armenian" lang="hy" hreflang="hy" data-title="Շեղանկյուն" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B8%E0%A4%AE%E0%A4%9A%E0%A4%A4%E0%A5%81%E0%A4%B0%E0%A5%8D%E0%A4%AD%E0%A5%81%E0%A4%9C" title="समचतुर्भुज – Hindi" lang="hi" hreflang="hi" data-title="समचतुर्भुज" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hsb mw-list-item"><a href="https://hsb.wikipedia.org/wiki/K%C3%B3snik" title="Kósnik – Upper Sorbian" lang="hsb" hreflang="hsb" data-title="Kósnik" data-language-autonym="Hornjoserbsce" data-language-local-name="Upper Sorbian" class="interlanguage-link-target"><span>Hornjoserbsce</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Romb" title="Romb – Croatian" lang="hr" hreflang="hr" data-title="Romb" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Belah_ketupat" title="Belah ketupat – Indonesian" lang="id" hreflang="id" data-title="Belah ketupat" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Rhombo" title="Rhombo – Interlingua" lang="ia" hreflang="ia" data-title="Rhombo" data-language-autonym="Interlingua" data-language-local-name="Interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/T%C3%ADgull" title="Tígull – Icelandic" lang="is" hreflang="is" data-title="Tígull" data-language-autonym="Íslenska" data-language-local-name="Icelandic" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Rombo_(geometria)" title="Rombo (geometria) – Italian" lang="it" hreflang="it" data-title="Rombo (geometria)" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A2%D7%95%D7%99%D7%9F" title="מעוין – Hebrew" lang="he" hreflang="he" data-title="מעוין" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Sigaran_kupat" title="Sigaran kupat – Javanese" lang="jv" hreflang="jv" data-title="Sigaran kupat" data-language-autonym="Jawa" data-language-local-name="Javanese" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%A0%E1%83%9D%E1%83%9B%E1%83%91%E1%83%98" title="რომბი – Georgian" lang="ka" hreflang="ka" data-title="რომბი" data-language-autonym="ქართული" data-language-local-name="Georgian" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A0%D0%BE%D0%BC%D0%B1" title="Ромб – Kazakh" lang="kk" hreflang="kk" data-title="Ромб" data-language-autonym="Қазақша" data-language-local-name="Kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Lozanj" title="Lozanj – Haitian Creole" lang="ht" hreflang="ht" data-title="Lozanj" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haitian Creole" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%A0%D0%BE%D0%BC%D0%B1" title="Ромб – Kyrgyz" lang="ky" hreflang="ky" data-title="Ромб" data-language-autonym="Кыргызча" data-language-local-name="Kyrgyz" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Rhombus_(geometria)" title="Rhombus (geometria) – Latin" lang="la" hreflang="la" data-title="Rhombus (geometria)" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Rombs" title="Rombs – Latvian" lang="lv" hreflang="lv" data-title="Rombs" data-language-autonym="Latviešu" data-language-local-name="Latvian" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Rombas" title="Rombas – Lithuanian" lang="lt" hreflang="lt" data-title="Rombas" data-language-autonym="Lietuvių" data-language-local-name="Lithuanian" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Roet" title="Roet – Limburgish" lang="li" hreflang="li" data-title="Roet" data-language-autonym="Limburgs" data-language-local-name="Limburgish" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/R%C3%B3mbo" title="Rómbo – Lombard" lang="lmo" hreflang="lmo" data-title="Rómbo" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Rombusz" title="Rombusz – Hungarian" lang="hu" hreflang="hu" data-title="Rombusz" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A0%D0%BE%D0%BC%D0%B1" title="Ромб – Macedonian" lang="mk" hreflang="mk" data-title="Ромб" data-language-autonym="Македонски" data-language-local-name="Macedonian" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Miraefadafy" title="Miraefadafy – Malagasy" lang="mg" hreflang="mg" data-title="Miraefadafy" data-language-autonym="Malagasy" data-language-local-name="Malagasy" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%B8%E0%B4%AE%E0%B4%AD%E0%B5%81%E0%B4%9C%E0%B4%B8%E0%B4%BE%E0%B4%AE%E0%B4%BE%E0%B4%A8%E0%B5%8D%E0%B4%A4%E0%B4%B0%E0%B4%BF%E0%B4%95%E0%B4%82" title="സമഭുജസാമാന്തരികം – Malayalam" lang="ml" hreflang="ml" data-title="സമഭുജസാമാന്തരികം" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%A0%E1%83%9D%E1%83%9B%E1%83%91%E1%83%98" title="რომბი – Mingrelian" lang="xmf" hreflang="xmf" data-title="რომბი" data-language-autonym="მარგალური" data-language-local-name="Mingrelian" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Rombus" title="Rombus – Malay" lang="ms" hreflang="ms" data-title="Rombus" data-language-autonym="Bahasa Melayu" data-language-local-name="Malay" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/Rombo" title="Rombo – Mirandese" lang="mwl" hreflang="mwl" data-title="Rombo" data-language-autonym="Mirandés" data-language-local-name="Mirandese" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-mdf mw-list-item"><a href="https://mdf.wikipedia.org/wiki/%D0%A0%D0%BE%D0%BC%D0%B1%D1%81%D1%8C" title="Ромбсь – Moksha" lang="mdf" hreflang="mdf" data-title="Ромбсь" data-language-autonym="Мокшень" data-language-local-name="Moksha" class="interlanguage-link-target"><span>Мокшень</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%A0%D0%BE%D0%BC%D0%B1" title="Ромб – Mongolian" lang="mn" hreflang="mn" data-title="Ромб" data-language-autonym="Монгол" data-language-local-name="Mongolian" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Ruit_(meetkunde)" title="Ruit (meetkunde) – Dutch" lang="nl" hreflang="nl" data-title="Ruit (meetkunde)" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E8%8F%B1%E5%BD%A2" title="菱形 – Japanese" lang="ja" hreflang="ja" data-title="菱形" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/R%C3%BCtj_(Geometrii)" title="Rütj (Geometrii) – Northern Frisian" lang="frr" hreflang="frr" data-title="Rütj (Geometrii)" data-language-autonym="Nordfriisk" data-language-local-name="Northern Frisian" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Rombe" title="Rombe – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Rombe" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Rombe" title="Rombe – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Rombe" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Lausange" title="Lausange – Occitan" lang="oc" hreflang="oc" data-title="Lausange" data-language-autonym="Occitan" data-language-local-name="Occitan" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-mhr mw-list-item"><a href="https://mhr.wikipedia.org/wiki/%D0%A0%D0%BE%D0%BC%D0%B1" title="Ромб – Eastern Mari" lang="mhr" hreflang="mhr" data-title="Ромб" data-language-autonym="Олык марий" data-language-local-name="Eastern Mari" class="interlanguage-link-target"><span>Олык марий</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Romb" title="Romb – Uzbek" lang="uz" hreflang="uz" data-title="Romb" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Uzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%B8%E0%A8%AE%E0%A8%9A%E0%A9%81%E0%A8%AC%E0%A8%BE%E0%A8%B9%E0%A9%80%E0%A8%86" title="ਸਮਚੁਬਾਹੀਆ – Punjabi" lang="pa" hreflang="pa" data-title="ਸਮਚੁਬਾਹੀਆ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Punjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%85%D8%B9%DB%8C%D9%86" title="معین – Western Punjabi" lang="pnb" hreflang="pnb" data-title="معین" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%85%E1%9E%8F%E1%9E%BB%E1%9E%80%E1%9F%84%E1%9E%8E%E1%9E%9F%E1%9F%92%E1%9E%98%E1%9E%BE" title="ចតុកោណស្មើ – Khmer" lang="km" hreflang="km" data-title="ចតុកោណស្មើ" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="Khmer" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Romb" title="Romb – Piedmontese" lang="pms" hreflang="pms" data-title="Romb" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Ruut" title="Ruut – Low German" lang="nds" hreflang="nds" data-title="Ruut" data-language-autonym="Plattdüütsch" data-language-local-name="Low German" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Romb" title="Romb – Polish" lang="pl" hreflang="pl" data-title="Romb" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Losango" title="Losango – Portuguese" lang="pt" hreflang="pt" data-title="Losango" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Romb" title="Romb – Romanian" lang="ro" hreflang="ro" data-title="Romb" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Puytu" title="Puytu – Quechua" lang="qu" hreflang="qu" data-title="Puytu" data-language-autonym="Runa Simi" data-language-local-name="Quechua" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A0%D0%BE%D0%BC%D0%B1" title="Ромб – Russian" lang="ru" hreflang="ru" data-title="Ромб" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%A0%D0%BE%D0%BC%D0%B1" title="Ромб – Yakut" lang="sah" hreflang="sah" data-title="Ромб" data-language-autonym="Саха тыла" data-language-local-name="Yakut" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Rombi" title="Rombi – Albanian" lang="sq" hreflang="sq" data-title="Rombi" data-language-autonym="Shqip" data-language-local-name="Albanian" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Rummu" title="Rummu – Sicilian" lang="scn" hreflang="scn" data-title="Rummu" data-language-autonym="Sicilianu" data-language-local-name="Sicilian" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Rhombus" title="Rhombus – Simple English" lang="en-simple" hreflang="en-simple" data-title="Rhombus" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Koso%C5%A1tvorec" title="Kosoštvorec – Slovak" lang="sk" hreflang="sk" data-title="Kosoštvorec" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Romb" title="Romb – Slovenian" lang="sl" hreflang="sl" data-title="Romb" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Qardhaas" title="Qardhaas – Somali" lang="so" hreflang="so" data-title="Qardhaas" data-language-autonym="Soomaaliga" data-language-local-name="Somali" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%85%DB%95%D8%B9%DB%8C%D9%86" title="مەعین – Central Kurdish" lang="ckb" hreflang="ckb" data-title="مەعین" data-language-autonym="کوردی" data-language-local-name="Central Kurdish" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A0%D0%BE%D0%BC%D0%B1" title="Ромб – Serbian" lang="sr" hreflang="sr" data-title="Ромб" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Romb" title="Romb – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Romb" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Beulahan_kupat" title="Beulahan kupat – Sundanese" lang="su" hreflang="su" data-title="Beulahan kupat" data-language-autonym="Sunda" data-language-local-name="Sundanese" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Nelj%C3%A4k%C3%A4s" title="Neljäkäs – Finnish" lang="fi" hreflang="fi" data-title="Neljäkäs" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Romb" title="Romb – Swedish" lang="sv" hreflang="sv" data-title="Romb" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Rombus" title="Rombus – Tagalog" lang="tl" hreflang="tl" data-title="Rombus" data-language-autonym="Tagalog" data-language-local-name="Tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%9A%E0%AE%BE%E0%AE%AF%E0%AF%8D%E0%AE%9A%E0%AE%A4%E0%AF%81%E0%AE%B0%E0%AE%AE%E0%AF%8D" title="சாய்சதுரம் – Tamil" lang="ta" hreflang="ta" data-title="சாய்சதுரம்" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%B0%E0%B0%BE%E0%B0%82%E0%B0%AC%E0%B0%B8%E0%B1%8D" title="రాంబస్ – Telugu" lang="te" hreflang="te" data-title="రాంబస్" data-language-autonym="తెలుగు" data-language-local-name="Telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A3%E0%B8%B9%E0%B8%9B%E0%B8%AA%E0%B8%B5%E0%B9%88%E0%B9%80%E0%B8%AB%E0%B8%A5%E0%B8%B5%E0%B9%88%E0%B8%A2%E0%B8%A1%E0%B8%82%E0%B8%99%E0%B8%A1%E0%B9%80%E0%B8%9B%E0%B8%B5%E0%B8%A2%E0%B8%81%E0%B8%9B%E0%B8%B9%E0%B8%99" title="รูปสี่เหลี่ยมขนมเปียกปูน – Thai" lang="th" hreflang="th" data-title="รูปสี่เหลี่ยมขนมเปียกปูน" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/E%C5%9Fkenar_d%C3%B6rtgen" title="Eşkenar dörtgen – Turkish" lang="tr" hreflang="tr" data-title="Eşkenar dörtgen" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A0%D0%BE%D0%BC%D0%B1" title="Ромб – Ukrainian" lang="uk" hreflang="uk" data-title="Ромб" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/H%C3%ACnh_thoi" title="Hình thoi – Vietnamese" lang="vi" hreflang="vi" data-title="Hình thoi" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wa mw-list-item"><a href="https://wa.wikipedia.org/wiki/Lozindje" title="Lozindje – Walloon" lang="wa" hreflang="wa" data-title="Lozindje" data-language-autonym="Walon" data-language-local-name="Walloon" class="interlanguage-link-target"><span>Walon</span></a></li><li class="interlanguage-link interwiki-vls mw-list-item"><a href="https://vls.wikipedia.org/wiki/Rute" title="Rute – West Flemish" lang="vls" hreflang="vls" data-title="Rute" data-language-autonym="West-Vlams" data-language-local-name="West Flemish" class="interlanguage-link-target"><span>West-Vlams</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Rhombus" title="Rhombus – Waray" lang="war" hreflang="war" data-title="Rhombus" data-language-autonym="Winaray" data-language-local-name="Waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E8%8F%B1%E5%BD%A2" title="菱形 – Wu" lang="wuu" hreflang="wuu" data-title="菱形" data-language-autonym="吴语" data-language-local-name="Wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E8%8F%B1%E5%BD%A2" title="菱形 – Cantonese" lang="yue" hreflang="yue" data-title="菱形" data-language-autonym="粵語" data-language-local-name="Cantonese" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E8%8F%B1%E5%BD%A2" title="菱形 – Chinese" lang="zh" hreflang="zh" data-title="菱形" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a 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class="noprint">From Wikipedia, the free encyclopedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Quadrilateral with sides of equal length</div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">For other uses, see <a href="/wiki/Rhombus_(disambiguation)" class="mw-disambig" title="Rhombus (disambiguation)">Rhombus (disambiguation)</a>.</div> <p class="mw-empty-elt"> </p> <div class="skin-invert-image"><style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox"><tbody><tr><th colspan="2" class="infobox-above" style="background:#e7dcc3;">Rhombus</th></tr><tr><td colspan="2" class="infobox-image"><span typeof="mw:File"><a href="/wiki/File:Rhombus.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b5/Rhombus.svg/220px-Rhombus.svg.png" decoding="async" width="220" height="116" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b5/Rhombus.svg/330px-Rhombus.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b5/Rhombus.svg/440px-Rhombus.svg.png 2x" data-file-width="397" data-file-height="210" /></a></span><div class="infobox-caption">A rhombus in two different orientations</div></td></tr><tr><th scope="row" class="infobox-label">Type</th><td class="infobox-data"><a href="/wiki/Quadrilateral" title="Quadrilateral">quadrilateral</a>, <a href="/wiki/Trapezoid" title="Trapezoid">trapezoid</a>, <a href="/wiki/Parallelogram" title="Parallelogram">parallelogram</a>, <a href="/wiki/Kite_(geometry)" title="Kite (geometry)">kite</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Edge_(geometry)" title="Edge (geometry)">Edges</a> and <a href="/wiki/Vertex_(geometry)" title="Vertex (geometry)">vertices</a></th><td class="infobox-data">4</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Schl%C3%A4fli_symbol" title="Schläfli symbol">Schläfli symbol</a></th><td class="infobox-data">{ } + { }<br />{2<sub>α</sub>}</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Coxeter%E2%80%93Dynkin_diagram" title="Coxeter–Dynkin diagram">Coxeter–Dynkin diagrams</a></th><td class="infobox-data"><span style="display:inline-block;"><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/4/45/CDel_sum.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size skin-invert-image" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span></span></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/List_of_planar_symmetry_groups" title="List of planar symmetry groups">Symmetry group</a></th><td class="infobox-data"><a href="/wiki/Dihedral_symmetry" class="mw-redirect" title="Dihedral symmetry">Dihedral</a> (D<sub>2</sub>), [2], (*22), order 4</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Area" title="Area">Area</a></th><td class="infobox-data"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle K={\frac {p\cdot q}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>K</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>p</mi> <mo>⋅</mo> <mi>q</mi> </mrow> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle K={\frac {p\cdot q}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0ba137bdd0b41422b8e5c82fe87304eaae04213a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:9.919ex; height:4.843ex;" alt="{\displaystyle K={\frac {p\cdot q}{2}}}" /></span> (half the product of the diagonals)</td></tr><tr><th scope="row" class="infobox-label">Properties</th><td class="infobox-data"><a href="/wiki/Convex_polygon" title="Convex polygon">convex</a>, <a href="/wiki/Isotoxal_figure" title="Isotoxal figure">isotoxal</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Dual_polygon" title="Dual polygon">Dual polygon</a></th><td class="infobox-data"><a href="/wiki/Rectangle" title="Rectangle">rectangle</a></td></tr></tbody></table></div> <figure typeof="mw:File/Thumb"><a href="/wiki/File:Symmetries_of_square.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/14/Symmetries_of_square.svg/330px-Symmetries_of_square.svg.png" decoding="async" width="280" height="318" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/14/Symmetries_of_square.svg/500px-Symmetries_of_square.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/14/Symmetries_of_square.svg/560px-Symmetries_of_square.svg.png 2x" data-file-width="606" data-file-height="688" /></a><figcaption>The rhombus has a square as a special case, and is a special case of a <a href="/wiki/Kite_(geometry)" title="Kite (geometry)">kite</a> and <a href="/wiki/Parallelogram" title="Parallelogram">parallelogram</a>.</figcaption></figure> <p>In plane <a href="/wiki/Euclidean_geometry" title="Euclidean geometry">Euclidean geometry</a>, a <b>rhombus</b> (<abbr title="plural">pl.</abbr>: <b>rhombi</b> or <b>rhombuses</b>) is a <a href="/wiki/Quadrilateral" title="Quadrilateral">quadrilateral</a> whose four sides all have the same length. Another name is <b>equilateral quadrilateral</b>, since equilateral means that all of its sides are equal in length. The rhombus is often called a "<b>diamond</b>", after the <a href="/wiki/Diamonds_(suit)" title="Diamonds (suit)">diamonds</a> suit in <a href="/wiki/Playing_card" title="Playing card">playing cards</a> which resembles the projection of an <a href="/wiki/Octahedron#Orthogonal_projections" title="Octahedron">octahedral</a> <a href="/wiki/Diamond" title="Diamond">diamond</a>, or a <a href="/wiki/Lozenge_(shape)" title="Lozenge (shape)">lozenge</a>, though the former sometimes refers specifically to a rhombus with a 60° <a href="/wiki/Angle" title="Angle">angle</a> (which some authors call a <b>calisson</b> after <a href="/wiki/Calisson" title="Calisson">the French sweet</a><sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>—also see <a href="/wiki/Polyiamond" title="Polyiamond">Polyiamond</a>), and the latter sometimes refers specifically to a rhombus with a 45° angle. </p><p>Every rhombus is <a href="/wiki/Simple_polygon" title="Simple polygon">simple</a> (non-self-intersecting), and is a special case of a <a href="/wiki/Parallelogram" title="Parallelogram">parallelogram</a> and a <a href="/wiki/Kite_(geometry)" title="Kite (geometry)">kite</a>. A rhombus with right angles is a <a href="/wiki/Square" title="Square">square</a>.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Etymology">Etymology</h2></div> <p>The word "rhombus" comes from <a href="/wiki/Ancient_Greek_language" class="mw-redirect" title="Ancient Greek language">Ancient Greek</a>: <span lang="grc">ῥόμβος</span>, <small><a href="/wiki/Romanization_of_Ancient_Greek" class="mw-redirect" title="Romanization of Ancient Greek">romanized</a>: </small><span title="Ancient Greek-language romanization"><i lang="grc-Latn">rhómbos</i></span>, meaning something that spins,<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> which derives from the verb <span lang="grc"><a href="https://en.wiktionary.org/wiki/%E1%BF%A5%CE%AD%CE%BC%CE%B2%CF%89#Ancient_Greek" class="extiw" title="wikt:ῥέμβω">ῥέμβω</a></span>, <small>romanized:</small> <span title="Ancient Greek (to 1453)-language romanization"><i lang="grc-Latn">rhémbō</i></span>, meaning "to turn round and round."<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> The word was used both by <a href="/wiki/Euclid" title="Euclid">Euclid</a> and <a href="/wiki/Archimedes" title="Archimedes">Archimedes</a>, who used the term "solid rhombus" for a <a href="/wiki/Bicone" title="Bicone">bicone</a>, two right circular <a href="/wiki/Cone" title="Cone">cones</a> sharing a common base.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> </p><p>The surface we refer to as <i>rhombus</i> today is a <a href="/wiki/Cross_section_(geometry)" title="Cross section (geometry)">cross section</a> of the bicone on a plane through the apexes of the two cones. </p> <div class="mw-heading mw-heading2"><h2 id="Characterizations">Characterizations</h2></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Haltern_am_See,_Naturpark_Hohe_Mark,_Hohemarkenbusch,_Baumstamm_--_2024_--_4411_(kreativ_2).jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ab/Haltern_am_See%2C_Naturpark_Hohe_Mark%2C_Hohemarkenbusch%2C_Baumstamm_--_2024_--_4411_%28kreativ_2%29.jpg/170px-Haltern_am_See%2C_Naturpark_Hohe_Mark%2C_Hohemarkenbusch%2C_Baumstamm_--_2024_--_4411_%28kreativ_2%29.jpg" decoding="async" width="170" height="255" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ab/Haltern_am_See%2C_Naturpark_Hohe_Mark%2C_Hohemarkenbusch%2C_Baumstamm_--_2024_--_4411_%28kreativ_2%29.jpg/255px-Haltern_am_See%2C_Naturpark_Hohe_Mark%2C_Hohemarkenbusch%2C_Baumstamm_--_2024_--_4411_%28kreativ_2%29.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/ab/Haltern_am_See%2C_Naturpark_Hohe_Mark%2C_Hohemarkenbusch%2C_Baumstamm_--_2024_--_4411_%28kreativ_2%29.jpg/340px-Haltern_am_See%2C_Naturpark_Hohe_Mark%2C_Hohemarkenbusch%2C_Baumstamm_--_2024_--_4411_%28kreativ_2%29.jpg 2x" data-file-width="4480" data-file-height="6720" /></a><figcaption>An <a href="/wiki/Intentional_camera_movement" title="Intentional camera movement">ICM</a> photo with a diamond-shaped composition.</figcaption></figure> <p>A <a href="/wiki/Simple_polygon" title="Simple polygon">simple</a> (non-<a href="/wiki/List_of_self-intersecting_polygons" title="List of self-intersecting polygons">self-intersecting</a>) quadrilateral is a rhombus <a href="/wiki/If_and_only_if" title="If and only if">if and only if</a> it is any one of the following:<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </p> <ul><li>a <a href="/wiki/Parallelogram" title="Parallelogram">parallelogram</a> in which a <a href="/wiki/Diagonal" title="Diagonal">diagonal</a> bisects an <a href="/wiki/Internal_and_external_angle" class="mw-redirect" title="Internal and external angle">interior angle</a></li> <li>a parallelogram in which at least two consecutive sides are equal in length</li> <li>a parallelogram in which the diagonals are perpendicular (an <a href="/wiki/Orthodiagonal" class="mw-redirect" title="Orthodiagonal">orthodiagonal</a> parallelogram)</li> <li>a quadrilateral with four sides of equal length (by definition)</li> <li>a quadrilateral in which the diagonals are <a href="/wiki/Perpendicular" title="Perpendicular">perpendicular</a> and <a href="/wiki/Bisection" title="Bisection">bisect</a> each other</li> <li>a quadrilateral in which each diagonal bisects two opposite interior angles</li> <li>a quadrilateral <i>ABCD</i> possessing a point <i>P</i> in its plane such that the four triangles <i>ABP</i>, <i>BCP</i>, <i>CDP</i>, and <i>DAP</i> are all <a href="/wiki/Congruence_(geometry)" title="Congruence (geometry)">congruent</a><sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup></li> <li>a quadrilateral <i>ABCD</i> in which the <a href="/wiki/Incircle_and_excircles_of_a_triangle" class="mw-redirect" title="Incircle and excircles of a triangle">incircles</a> in triangles <i>ABC</i>, <i>BCD</i>, <i>CDA</i> and <i>DAB</i> have a common point<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup></li></ul> <div class="mw-heading mw-heading2"><h2 id="Basic_properties">Basic properties</h2></div> <p>Every rhombus has two <a href="/wiki/Diagonal" title="Diagonal">diagonals</a> connecting pairs of opposite vertices, and two pairs of parallel sides. Using <a href="/wiki/Congruence_(geometry)" title="Congruence (geometry)">congruent</a> <a href="/wiki/Triangle" title="Triangle">triangles</a>, one can <a href="/wiki/Mathematical_proof" title="Mathematical proof">prove</a> that the rhombus is <a href="/wiki/Symmetry" title="Symmetry">symmetric</a> across each of these diagonals. It follows that any rhombus has the following properties: </p> <ul><li>Opposite <a href="/wiki/Angle" title="Angle">angles</a> of a rhombus have equal measure.</li> <li>The two diagonals of a rhombus are <a href="/wiki/Perpendicular" title="Perpendicular">perpendicular</a>; that is, a rhombus is an <a href="/wiki/Orthodiagonal_quadrilateral" title="Orthodiagonal quadrilateral">orthodiagonal quadrilateral</a>.</li> <li>Its diagonals bisect opposite angles.</li></ul> <p>The first property implies that every rhombus is a <a href="/wiki/Parallelogram" title="Parallelogram">parallelogram</a>. A rhombus therefore has all of the <a href="/wiki/Parallelogram#Properties" title="Parallelogram">properties of a parallelogram</a>: for example, opposite sides are parallel; adjacent angles are <a href="/wiki/Supplementary_angles" class="mw-redirect" title="Supplementary angles">supplementary</a>; the two diagonals <a href="/wiki/Bisection" title="Bisection">bisect</a> one another; any line through the midpoint bisects the area; and the sum of the squares of the sides equals the sum of the squares of the diagonals (the <a href="/wiki/Parallelogram_law" title="Parallelogram law">parallelogram law</a>). Thus denoting the common side as <i>a</i> and the diagonals as <i>p</i> and <i>q</i>, in every rhombus </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \displaystyle 4a^{2}=p^{2}+q^{2}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="true" scriptlevel="0"> <mn>4</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <msup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>q</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>.</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \displaystyle 4a^{2}=p^{2}+q^{2}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1593d88a02f3a1f00c020e3bf23b484197031ed9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:14.39ex; height:3.009ex;" alt="{\displaystyle \displaystyle 4a^{2}=p^{2}+q^{2}.}" /></span></dd></dl> <p>Not every parallelogram is a rhombus, though any parallelogram with perpendicular diagonals (the second property) is a rhombus. In general, any quadrilateral with perpendicular diagonals, one of which is a line of symmetry, is a <a href="/wiki/Kite_(geometry)" title="Kite (geometry)">kite</a>. Every rhombus is a kite, and any quadrilateral that is both a kite and parallelogram is a rhombus. </p><p>A rhombus is a <a href="/wiki/Tangential_quadrilateral" title="Tangential quadrilateral">tangential quadrilateral</a>.<sup id="cite_ref-Mathworld_10-0" class="reference"><a href="#cite_note-Mathworld-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> That is, it has an <a href="/wiki/Inscribed_figure" title="Inscribed figure">inscribed circle</a> that is tangent to all four sides. </p> <figure typeof="mw:File/Thumb"><a href="/wiki/File:Rhombus1.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/Rhombus1.svg/280px-Rhombus1.svg.png" decoding="async" width="280" height="172" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/Rhombus1.svg/420px-Rhombus1.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8a/Rhombus1.svg/560px-Rhombus1.svg.png 2x" data-file-width="539" data-file-height="332" /></a><figcaption>A rhombus. Each angle marked with a black dot is a right angle. The height <i>h</i> is the perpendicular distance between any two non-adjacent sides, which equals the diameter of the circle inscribed. The diagonals of lengths <i>p</i> and <i>q</i> are the red dotted line segments.</figcaption></figure> <div class="mw-heading mw-heading2"><h2 id="Diagonals">Diagonals</h2></div> <p>The length of the diagonals <i>p = AC</i> and <i>q = BD</i> can be expressed in terms of the rhombus side <i>a</i> and one vertex angle <i>α</i> as </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p=a{\sqrt {2+2\cos {\alpha }}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> <mo>=</mo> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> <mo>+</mo> <mn>2</mn> <mi>cos</mi> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>α</mi> </mrow> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p=a{\sqrt {2+2\cos {\alpha }}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/077494b89b6401c9cf4469697ff10bf033c4f019" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.089ex; width:18.061ex; height:3.009ex;" alt="{\displaystyle p=a{\sqrt {2+2\cos {\alpha }}}}" /></span></dd></dl> <p>and </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle q=a{\sqrt {2-2\cos {\alpha }}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>q</mi> <mo>=</mo> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> <mo>−</mo> <mn>2</mn> <mi>cos</mi> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>α</mi> </mrow> </msqrt> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle q=a{\sqrt {2-2\cos {\alpha }}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/59141a47bed0279598d182c20fb4690a1203f1bf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:18.519ex; height:3.009ex;" alt="{\displaystyle q=a{\sqrt {2-2\cos {\alpha }}}.}" /></span></dd></dl> <p>These formulas are a direct consequence of the <a href="/wiki/Law_of_cosines" title="Law of cosines">law of cosines</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Inradius">Inradius</h2></div> <p>The inradius (the radius of a circle <a href="/wiki/Inscribed" class="mw-redirect" title="Inscribed">inscribed</a> in the rhombus), denoted by <span class="texhtml"><i>r</i></span>, can be expressed in terms of the diagonals <span class="texhtml"><i>p</i></span> and <span class="texhtml"><i>q</i></span> as<sup id="cite_ref-Mathworld_10-1" class="reference"><a href="#cite_note-Mathworld-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r={\frac {p\cdot q}{2{\sqrt {p^{2}+q^{2}}}}},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>p</mi> <mo>⋅</mo> <mi>q</mi> </mrow> <mrow> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>q</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </mrow> </mfrac> </mrow> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r={\frac {p\cdot q}{2{\sqrt {p^{2}+q^{2}}}}},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d9561d8a8c0c05b2f1bb2b5395ebf2472afd5874" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:16.314ex; height:6.176ex;" alt="{\displaystyle r={\frac {p\cdot q}{2{\sqrt {p^{2}+q^{2}}}}},}" /></span></dd></dl> <p>or in terms of the side length <span class="texhtml"><i>a</i></span> and any vertex angle <span class="texhtml"><i>α</i></span> or <span class="texhtml"><i>β</i></span> as </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r={\frac {a\sin \alpha }{2}}={\frac {a\sin \beta }{2}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mi>sin</mi> <mo>⁡</mo> <mi>α</mi> </mrow> <mn>2</mn> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mi>sin</mi> <mo>⁡</mo> <mi>β</mi> </mrow> <mn>2</mn> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r={\frac {a\sin \alpha }{2}}={\frac {a\sin \beta }{2}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/328aabe57a7745638c3aa5fa020d0486582a28dc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:22.104ex; height:5.343ex;" alt="{\displaystyle r={\frac {a\sin \alpha }{2}}={\frac {a\sin \beta }{2}}.}" /></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Area">Area</h2></div> <p>As for all <a href="/wiki/Parallelogram" title="Parallelogram">parallelograms</a>, the <a href="/wiki/Area" title="Area">area</a> <i>K</i> of a rhombus is the product of its <a href="/wiki/Base_(geometry)" title="Base (geometry)">base</a> and its <a href="/wiki/Height" title="Height">height</a> (<i>h</i>). The base is simply any side length <i>a</i>: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle K=a\cdot h.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>K</mi> <mo>=</mo> <mi>a</mi> <mo>⋅</mo> <mi>h</mi> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle K=a\cdot h.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b33557d5f358091ebfd4da051ff2309184422464" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.059ex; height:2.176ex;" alt="{\displaystyle K=a\cdot h.}" /></span></dd></dl> <p>The area can also be expressed as the <a href="/wiki/Edge_(geometry)" title="Edge (geometry)">base</a> <a href="/wiki/Square_(algebra)" title="Square (algebra)">squared</a> times the sine of any angle: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle K=a^{2}\cdot \sin \alpha =a^{2}\cdot \sin \beta ,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>K</mi> <mo>=</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>⋅</mo> <mi>sin</mi> <mo>⁡</mo> <mi>α</mi> <mo>=</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>⋅</mo> <mi>sin</mi> <mo>⁡</mo> <mi>β</mi> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle K=a^{2}\cdot \sin \alpha =a^{2}\cdot \sin \beta ,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bccdbeb10b8b7b76b9408ffa8353253e60d10aef" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:26.141ex; height:3.009ex;" alt="{\displaystyle K=a^{2}\cdot \sin \alpha =a^{2}\cdot \sin \beta ,}" /></span></dd></dl> <p>or in terms of the height and a <a href="/wiki/Vertex_(geometry)" title="Vertex (geometry)">vertex</a> <a href="/wiki/Angle" title="Angle">angle</a>: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle K={\frac {h^{2}}{\sin \alpha }},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>K</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mrow> <mi>sin</mi> <mo>⁡</mo> <mi>α</mi> </mrow> </mfrac> </mrow> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle K={\frac {h^{2}}{\sin \alpha }},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4cf74e116423e35f5e8183dd4fa3980e1a4410c6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:11.378ex; height:5.676ex;" alt="{\displaystyle K={\frac {h^{2}}{\sin \alpha }},}" /></span></dd></dl> <p>or as half the product of the <a href="/wiki/Diagonal" title="Diagonal">diagonals</a> <i>p</i>, <i>q</i>: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle K={\frac {p\cdot q}{2}},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>K</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>p</mi> <mo>⋅</mo> <mi>q</mi> </mrow> <mn>2</mn> </mfrac> </mrow> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle K={\frac {p\cdot q}{2}},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/710eb72777bf88622b380160ed74291ee61ea95a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:10.565ex; height:4.843ex;" alt="{\displaystyle K={\frac {p\cdot q}{2}},}" /></span></dd></dl> <p>or as the <a href="/wiki/Semiperimeter" title="Semiperimeter">semiperimeter</a> times the <a href="/wiki/Radius" title="Radius">radius</a> of the <a href="/wiki/Circle" title="Circle">circle</a> <a href="/wiki/Inscribed_figure" title="Inscribed figure">inscribed</a> in the rhombus (inradius): </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle K=2a\cdot r.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>K</mi> <mo>=</mo> <mn>2</mn> <mi>a</mi> <mo>⋅</mo> <mi>r</mi> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle K=2a\cdot r.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65269268c41f5a5aa0c220406f061cb45639b8b1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.931ex; height:2.176ex;" alt="{\displaystyle K=2a\cdot r.}" /></span></dd></dl> <p>Another way, in common with parallelograms, is to consider two adjacent sides as vectors, forming a <a href="/wiki/Bivector" title="Bivector">bivector</a>, so the area is the magnitude of the bivector (the magnitude of the vector product of the two vectors), which is the <a href="/wiki/Determinant" title="Determinant">determinant</a> of the two vectors' Cartesian coordinates: <i>K</i> = <i>x</i><sub>1</sub><i>y</i><sub>2</sub> – <i>x</i><sub>2</sub><i>y</i><sub>1</sub>.<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Dual_properties">Dual properties</h2></div> <p>The <a href="/wiki/Dual_polygon" title="Dual polygon">dual polygon</a> of a rhombus is a <a href="/wiki/Rectangle" title="Rectangle">rectangle</a>:<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </p> <ul><li>A rhombus has all sides equal, while a rectangle has all angles equal.</li> <li>A rhombus has opposite angles equal, while a rectangle has opposite sides equal.</li> <li>A rhombus has an inscribed circle, while a rectangle has a <a href="/wiki/Circumcircle" title="Circumcircle">circumcircle</a>.</li> <li>A rhombus has an axis of symmetry through each pair of opposite vertex angles, while a rectangle has an axis of symmetry through each pair of opposite sides.</li> <li>The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length.</li> <li>The figure formed by joining the midpoints of the sides of a rhombus is a <a href="/wiki/Rectangle" title="Rectangle">rectangle</a>, and vice versa.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Cartesian_equation">Cartesian equation</h2></div> <p>The sides of a rhombus centered at the origin, with diagonals each falling on an axis, consist of all points (<i>x, y</i>) satisfying </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \left|{\frac {x}{a}}\right|\!+\left|{\frac {y}{b}}\right|\!=1.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow> <mo>|</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>x</mi> <mi>a</mi> </mfrac> </mrow> <mo>|</mo> </mrow> <mspace width="negativethinmathspace"></mspace> <mo>+</mo> <mrow> <mo>|</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>y</mi> <mi>b</mi> </mfrac> </mrow> <mo>|</mo> </mrow> <mspace width="negativethinmathspace"></mspace> <mo>=</mo> <mn>1.</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left|{\frac {x}{a}}\right|\!+\left|{\frac {y}{b}}\right|\!=1.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f50cc392cc3e208dff678e064cd22b3858aa7e9b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:13.719ex; height:5.176ex;" alt="{\displaystyle \left|{\frac {x}{a}}\right|\!+\left|{\frac {y}{b}}\right|\!=1.}" /></span></dd></dl> <p>The vertices are at <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (\pm a,0)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mo>±</mo> <mi>a</mi> <mo>,</mo> <mn>0</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (\pm a,0)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/58f43d4d49576077a52ce7939e40b34e831b5fa5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.044ex; height:2.843ex;" alt="{\displaystyle (\pm a,0)}" /></span> and <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (0,\pm b).}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mn>0</mn> <mo>,</mo> <mo>±</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (0,\pm b).}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1b32d801eaa13b3ce595a4f5542d2d00390148a1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.458ex; height:2.843ex;" alt="{\displaystyle (0,\pm b).}" /></span> This is a special case of the <a href="/wiki/Superellipse" title="Superellipse">superellipse</a>, with exponent 1. </p> <div class="mw-heading mw-heading2"><h2 id="Other_properties">Other properties</h2></div> <ul><li>One of the five 2D <a href="/wiki/Lattice_(group)" title="Lattice (group)">lattice</a> types is the rhombic lattice, also called <a href="/wiki/Centered_rectangular_lattice" class="mw-redirect" title="Centered rectangular lattice">centered rectangular lattice</a>.</li> <li>Rhombi can tile the 2D plane edge-to-edge and periodically in three different ways, including, for the 60° rhombus, the <a href="/wiki/Rhombille_tiling" title="Rhombille tiling">rhombille tiling</a>. <ul><li class="mw-empty-elt"></li></ul></li></ul> <table class="wikitable"> <tbody><tr> <th colspan="2">As topological <a href="/wiki/Square_tiling" title="Square tiling">square tilings</a> </th> <th>As 30-60 degree <a href="/wiki/Rhombille" class="mw-redirect" title="Rhombille">rhombille</a> tiling </th></tr> <tr> <td><span typeof="mw:File"><a href="/wiki/File:Lattice_of_rhombuses.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/bc/Lattice_of_rhombuses.svg/240px-Lattice_of_rhombuses.svg.png" decoding="async" width="240" height="137" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/bc/Lattice_of_rhombuses.svg/360px-Lattice_of_rhombuses.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/bc/Lattice_of_rhombuses.svg/480px-Lattice_of_rhombuses.svg.png 2x" data-file-width="729" data-file-height="416" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Isohedral_tiling_p4-51c.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Isohedral_tiling_p4-51c.svg/242px-Isohedral_tiling_p4-51c.svg.png" decoding="async" width="242" height="154" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Isohedral_tiling_p4-51c.svg/363px-Isohedral_tiling_p4-51c.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/96/Isohedral_tiling_p4-51c.svg/484px-Isohedral_tiling_p4-51c.svg.png 2x" data-file-width="983" data-file-height="624" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Rhombic_star_tiling.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/78/Rhombic_star_tiling.svg/250px-Rhombic_star_tiling.svg.png" decoding="async" width="154" height="153" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/78/Rhombic_star_tiling.svg/330px-Rhombic_star_tiling.svg.png 2x" data-file-width="3806" data-file-height="3791" /></a></span> </td></tr></tbody></table> <ul><li>Three-dimensional analogues of a rhombus include the <a href="/wiki/Bipyramid" title="Bipyramid">bipyramid</a> and the <a href="/wiki/Bicone" title="Bicone">bicone</a> as a <a href="/wiki/Surface_of_revolution" title="Surface of revolution">surface of revolution</a>.</li></ul> <div class="mw-heading mw-heading3"><h3 id="As_the_faces_of_a_polyhedron">As the faces of a polyhedron</h3></div> <p>Convex polyhedra with rhombi include the infinite set of rhombic <a href="/wiki/Zonohedron" title="Zonohedron">zonohedrons</a>, which can be seen as projective envelopes of <a href="/wiki/Hypercube" title="Hypercube">hypercubes</a>. </p> <ul><li>A <a href="/wiki/Rhombohedron" title="Rhombohedron">rhombohedron</a> (also called a rhombic hexahedron) is a three-dimensional figure like a <a href="/wiki/Cuboid" title="Cuboid">cuboid</a> (also called a rectangular parallelepiped), except that its 3 pairs of parallel faces are up to 3 types of rhombi instead of rectangles.</li> <li>The <a href="/wiki/Rhombic_dodecahedron" title="Rhombic dodecahedron">rhombic dodecahedron</a> is a <a href="/wiki/Convex_polyhedron" class="mw-redirect" title="Convex polyhedron">convex polyhedron</a> with 12 <a href="/wiki/Congruence_(geometry)" title="Congruence (geometry)">congruent</a> rhombi as its <a href="/wiki/Face_(geometry)" title="Face (geometry)">faces</a>.</li> <li>The <a href="/wiki/Rhombic_triacontahedron" title="Rhombic triacontahedron">rhombic triacontahedron</a> is a <a href="/wiki/Convex_polyhedron" class="mw-redirect" title="Convex polyhedron">convex polyhedron</a> with 30 <a href="/wiki/Golden_rhombus" title="Golden rhombus">golden rhombi</a> (rhombi whose diagonals are in the <a href="/wiki/Golden_ratio" title="Golden ratio">golden ratio</a>) as its faces.</li> <li>The <a href="/wiki/Great_rhombic_triacontahedron" title="Great rhombic triacontahedron">great rhombic triacontahedron</a> is a nonconvex <a href="/wiki/Isohedral_figure" title="Isohedral figure">isohedral</a>, <a href="/wiki/Isotoxal" class="mw-redirect" title="Isotoxal">isotoxal</a> <a href="/wiki/Polyhedron" title="Polyhedron">polyhedron</a> with 30 intersecting rhombic faces.</li> <li>The <a href="/wiki/Rhombic_hexecontahedron" title="Rhombic hexecontahedron">rhombic hexecontahedron</a> is a <a href="/wiki/Stellation" title="Stellation">stellation</a> of the rhombic triacontahedron. It is nonconvex with 60 <a href="/wiki/Golden_rhombus" title="Golden rhombus">golden rhombic</a> faces with <a href="/wiki/Icosahedral_symmetry" title="Icosahedral symmetry">icosahedral symmetry</a>.</li> <li>The <a href="/wiki/Rhombic_enneacontahedron" title="Rhombic enneacontahedron">rhombic enneacontahedron</a> is a polyhedron composed of 90 rhombic faces, with three, five, or six rhombi meeting at each vertex. It has 60 broad rhombi and 30 slim ones.</li> <li>The <a href="/wiki/Rhombic_icosahedron" title="Rhombic icosahedron">rhombic icosahedron</a> is a polyhedron composed of 20 rhombic faces, of which three, four, or five meet at each vertex. It has 10 faces on the polar axis with 10 faces following the equator.</li></ul> <table class="wikitable" width="640"> <caption>Example polyhedra with all rhombic faces </caption> <tbody><tr> <th colspan="2">Isohedral </th> <th colspan="2">Isohedral golden rhombi </th> <th>2-isohedral </th> <th>3-isohedral </th></tr> <tr align="center"> <td><span typeof="mw:File"><a href="/wiki/File:TrigonalTrapezohedron.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0a/TrigonalTrapezohedron.svg/40px-TrigonalTrapezohedron.svg.png" decoding="async" width="40" height="97" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0a/TrigonalTrapezohedron.svg/60px-TrigonalTrapezohedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0a/TrigonalTrapezohedron.svg/120px-TrigonalTrapezohedron.svg.png 2x" data-file-width="175" data-file-height="425" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Rhombicdodecahedron.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Rhombicdodecahedron.jpg/100px-Rhombicdodecahedron.jpg" decoding="async" width="100" height="89" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Rhombicdodecahedron.jpg/150px-Rhombicdodecahedron.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Rhombicdodecahedron.jpg/200px-Rhombicdodecahedron.jpg 2x" data-file-width="849" data-file-height="754" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Rhombictriacontahedron.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2c/Rhombictriacontahedron.svg/100px-Rhombictriacontahedron.svg.png" decoding="async" width="100" height="111" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2c/Rhombictriacontahedron.svg/150px-Rhombictriacontahedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2c/Rhombictriacontahedron.svg/200px-Rhombictriacontahedron.svg.png 2x" data-file-width="560" data-file-height="620" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Rhombic_icosahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/15/Rhombic_icosahedron.png/100px-Rhombic_icosahedron.png" decoding="async" width="100" height="89" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/15/Rhombic_icosahedron.png/150px-Rhombic_icosahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/15/Rhombic_icosahedron.png/200px-Rhombic_icosahedron.png 2x" data-file-width="900" data-file-height="799" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Rhombic_enneacontahedron.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Rhombic_enneacontahedron.png/100px-Rhombic_enneacontahedron.png" decoding="async" width="100" height="97" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Rhombic_enneacontahedron.png/150px-Rhombic_enneacontahedron.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Rhombic_enneacontahedron.png/200px-Rhombic_enneacontahedron.png 2x" data-file-width="411" data-file-height="400" /></a></span> </td> <td><span typeof="mw:File"><a href="/wiki/File:Rhombohedron.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c1/Rhombohedron.svg/100px-Rhombohedron.svg.png" decoding="async" width="100" height="64" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c1/Rhombohedron.svg/150px-Rhombohedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c1/Rhombohedron.svg/200px-Rhombohedron.svg.png 2x" data-file-width="624" data-file-height="399" /></a></span> </td></tr> <tr align="center"> <th><a href="/wiki/Trigonal_trapezohedron" title="Trigonal trapezohedron">Trigonal trapezohedron</a> </th> <th><a href="/wiki/Rhombic_dodecahedron" title="Rhombic dodecahedron">Rhombic dodecahedron</a> </th> <th><a href="/wiki/Rhombic_triacontahedron" title="Rhombic triacontahedron">Rhombic triacontahedron</a> </th> <th><a href="/wiki/Rhombic_icosahedron" title="Rhombic icosahedron">Rhombic icosahedron</a> </th> <th><a href="/wiki/Rhombic_enneacontahedron" title="Rhombic enneacontahedron">Rhombic enneacontahedron</a> </th> <th><a href="/wiki/Rhombohedron" title="Rhombohedron">Rhombohedron</a> </th></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2></div> <ul><li><a href="/wiki/Merkel-Raute" title="Merkel-Raute">Merkel-Raute</a></li> <li><a href="/wiki/Rhombus_of_Michaelis" title="Rhombus of Michaelis">Rhombus of Michaelis</a>, in human anatomy</li> <li><a href="/wiki/Rhomboid" title="Rhomboid">Rhomboid</a>, either a parallelepiped or a parallelogram that is neither a rhombus nor a rectangle</li> <li><a href="/wiki/Rhombic_antenna" title="Rhombic antenna">Rhombic antenna</a></li> <li><a href="/wiki/Rhombic_Chess" class="mw-redirect" title="Rhombic Chess">Rhombic Chess</a></li> <li><a href="/wiki/Flag_of_the_Department_of_North_Santander" class="mw-redirect" title="Flag of the Department of North Santander">Flag of the Department of North Santander</a> of Colombia, containing four stars in the shape of a rhombus</li> <li><a href="/wiki/Superellipse" title="Superellipse">Superellipse</a> (includes a rhombus with rounded corners)</li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFAlsinaNelsen2015" class="citation book cs1">Alsina, Claudi; Nelsen, Roger B. (31 December 2015). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=2F_0DwAAQBAJ&pg=PA28"><i>A Mathematical Space Odyssey: Solid Geometry in the 21st Century</i></a>. American Mathematical Soc. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9781614442165" title="Special:BookSources/9781614442165"><bdi>9781614442165</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=A+Mathematical+Space+Odyssey%3A+Solid+Geometry+in+the+21st+Century&rft.pub=American+Mathematical+Soc.&rft.date=2015-12-31&rft.isbn=9781614442165&rft.aulast=Alsina&rft.aufirst=Claudi&rft.au=Nelsen%2C+Roger+B.&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3D2F_0DwAAQBAJ%26pg%3DPA28&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARhombus" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text">Note: <a href="/wiki/Euclid" title="Euclid">Euclid</a>'s original definition and some English dictionaries' definition of rhombus excludes squares, but modern mathematicians prefer the inclusive definition. See, e.g., <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFDe_Villiers1994" class="citation journal cs1">De Villiers, Michael (February 1994). "The role and function of a hierarchical classification of quadrilaterals". <i><a href="/wiki/For_the_Learning_of_Mathematics" title="For the Learning of Mathematics">For the Learning of Mathematics</a></i>. <b>14</b> (1): <span class="nowrap">11–</span>18. <a href="/wiki/JSTOR_(identifier)" class="mw-redirect" title="JSTOR (identifier)">JSTOR</a> <a rel="nofollow" class="external text" href="https://www.jstor.org/stable/40248098">40248098</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=For+the+Learning+of+Mathematics&rft.atitle=The+role+and+function+of+a+hierarchical+classification+of+quadrilaterals&rft.volume=14&rft.issue=1&rft.pages=%3Cspan+class%3D%22nowrap%22%3E11-%3C%2Fspan%3E18&rft.date=1994-02&rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F40248098%23id-name%3DJSTOR&rft.aulast=De+Villiers&rft.aufirst=Michael&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARhombus" class="Z3988"></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.04.0057%3Aentry%3Dr%28o%2Fmbos"><span title="Ancient Greek (to 1453)-language text"><span lang="grc">ῥόμβος</span></span></a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20131108114843/http://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.04.0057%3Aentry%3Dr%28o%2Fmbos">Archived</a> 2013-11-08 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>, Henry George Liddell, Robert Scott, <i>A Greek-English Lexicon</i>, on Perseus</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.04.0057%3Aentry%3Dr%28e%2Fmbw">ρέμβω</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20131108114840/http://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.04.0057%3Aentry%3Dr%28e%2Fmbw">Archived</a> 2013-11-08 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>, Henry George Liddell, Robert Scott, <i>A Greek-English Lexicon</i>, on Perseus</span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation web cs1 cs1-prop-unfit"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20150402143657/http://www.pballew.net/rhomb">"The Origin of Rhombus"</a>. Archived from the original on 2015-04-02<span class="reference-accessdate">. Retrieved <span class="nowrap">2005-01-25</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=The+Origin+of+Rhombus&rft_id=http%3A%2F%2Fwww.pballew.net%2Frhomb&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARhombus" class="Z3988"></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text">Zalman Usiskin and Jennifer Griffin, "<a rel="nofollow" class="external text" href="https://books.google.com/books?id=ff0nDwAAQBAJ&q=rhombus">The Classification of Quadrilaterals. A Study of Definition</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20200226195300/https://books.google.com/books?id=ff0nDwAAQBAJ&printsec=frontcover#v=onepage&q=rhombus&f=false">Archived</a> 2020-02-26 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>", Information Age Publishing, 2008, pp. 55-56.</span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text">Owen Byer, Felix Lazebnik and <a href="/wiki/Deirdre_Smeltzer" title="Deirdre Smeltzer">Deirdre Smeltzer</a>, <i><a rel="nofollow" class="external text" href="https://books.google.com/books?id=W4acIu4qZvoC&q=rhombus">Methods for Euclidean Geometry</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20190901191543/https://books.google.com/books?id=W4acIu4qZvoC&printsec=frontcover#v=onepage&q=rhombus&f=false">Archived</a> 2019-09-01 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></i>, Mathematical Association of America, 2010, p. 53.</span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text">Paris Pamfilos (2016), "A Characterization of the Rhombus", <i><a href="/wiki/Forum_Geometricorum" title="Forum Geometricorum">Forum Geometricorum</a></i> <b>16</b>, pp. 331–336, <a rel="nofollow" class="external autonumber" href="http://forumgeom.fau.edu/FG2016volume16/FG201640.pdf">[1]</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20161023135753/http://forumgeom.fau.edu/FG2016volume16/FG201640.pdf">Archived</a> 2016-10-23 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://imomath.com/othercomp/Bra/BraMO04.pdf">"IMOmath, "26-th Brazilian Mathematical Olympiad 2004"<span class="cs1-kern-right"></span>"</a> <span class="cs1-format">(PDF)</span>. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20161018164829/http://imomath.com/othercomp/Bra/BraMO04.pdf">Archived</a> <span class="cs1-format">(PDF)</span> from the original on 2016-10-18<span class="reference-accessdate">. Retrieved <span class="nowrap">2020-01-06</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=IMOmath%2C+%2226-th+Brazilian+Mathematical+Olympiad+2004%22&rft_id=https%3A%2F%2Fimomath.com%2Fothercomp%2FBra%2FBraMO04.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARhombus" class="Z3988"></span></span> </li> <li id="cite_note-Mathworld-10"><span class="mw-cite-backlink">^ <a href="#cite_ref-Mathworld_10-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Mathworld_10-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><span class="citation mathworld" id="Reference-Mathworld-Rhombus"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFWeisstein" class="citation web cs1"><a href="/wiki/Eric_W._Weisstein" title="Eric W. Weisstein">Weisstein, Eric W.</a> <a rel="nofollow" class="external text" href="https://mathworld.wolfram.com/Rhombus.html">"Rhombus"</a>. <i><a href="/wiki/MathWorld" title="MathWorld">MathWorld</a></i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=MathWorld&rft.atitle=Rhombus&rft.au=Weisstein%2C+Eric+W.&rft_id=https%3A%2F%2Fmathworld.wolfram.com%2FRhombus.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARhombus" class="Z3988"></span></span></span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://www.youtube.com/watch?v=6XghF70fqkY">WildLinAlg episode 4</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20170205162901/https://www.youtube.com/watch?v=6XghF70fqkY">Archived</a> 2017-02-05 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>, Norman J Wildberger, Univ. of New South Wales, 2010, lecture via youtube</span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><b><a href="#cite_ref-12">^</a></b></span> <span class="reference-text">de Villiers, Michael, "Equiangular cyclic and equilateral circumscribed polygons", <i><a href="/wiki/Mathematical_Gazette" class="mw-redirect" title="Mathematical Gazette">Mathematical Gazette</a></i> 95, March 2011, 102-107.</span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2></div> <style data-mw-deduplicate="TemplateStyles:r1235681985">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:var(--background-color-interactive-subtle,#f8f9fa);display:flow-root}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 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href="https://en.wiktionary.org/wiki/Special:Search/rhombus" class="extiw" title="wiktionary:Special:Search/rhombus">rhombus</a></b></i> in Wiktionary, the free dictionary.</div></div> </div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1235681985" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237033735" /><div class="side-box side-box-right plainlinks sistersitebox"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1126788409" /> <div class="side-box-flex"> <div class="side-box-image"><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Commons-logo.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/40px-Commons-logo.svg.png" decoding="async" width="30" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/60px-Commons-logo.svg.png 1.5x" data-file-width="1024" data-file-height="1376" /></a></span></div> <div class="side-box-text plainlist">Wikimedia Commons has media related to <span style="font-weight: bold; font-style: italic;"><a href="https://commons.wikimedia.org/wiki/Category:Rhombi" class="extiw" title="commons:Category:Rhombi">Rhombi</a></span>.</div></div> </div> <ul><li><a rel="nofollow" class="external text" href="http://www.elsy.at/kurse/index.php?kurs=Parallelogram+and+Rhombus&status=public">Parallelogram and Rhombus - Animated course (Construction, Circumference, Area)</a></li> <li><a rel="nofollow" class="external text" href="http://www.mathopenref.com/rhombus.html">Rhombus definition, Math Open Reference</a> with interactive applet.</li> <li><a rel="nofollow" class="external text" href="http://www.mathopenref.com/rhombusarea.html">Rhombus area, Math Open Reference</a> - shows three different ways to compute the area of a rhombus, with interactive applet</li></ul> <div class="navbox-styles"><style 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style="width:1%"><a href="/wiki/Triangle" title="Triangle">Triangles</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Acute_and_obtuse_triangles" title="Acute and obtuse triangles">Acute</a></li> <li><a href="/wiki/Equilateral_triangle" title="Equilateral triangle">Equilateral</a></li> <li><a href="/wiki/Ideal_triangle" title="Ideal triangle">Ideal</a></li> <li><a href="/wiki/Isosceles_triangle" title="Isosceles triangle">Isosceles</a></li> <li><a href="/wiki/Kepler_triangle" title="Kepler triangle">Kepler</a></li> <li><a href="/wiki/Acute_and_obtuse_triangles" title="Acute and obtuse triangles">Obtuse</a></li> <li><a href="/wiki/Right_triangle" title="Right triangle">Right</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Quadrilateral" title="Quadrilateral">Quadrilaterals</a></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Antiparallelogram" title="Antiparallelogram">Antiparallelogram</a></li> <li><a href="/wiki/Apollonius_quadrilateral" title="Apollonius quadrilateral">Apollonius</a></li> <li><a href="/wiki/Bicentric_quadrilateral" title="Bicentric quadrilateral">Bicentric</a></li> <li><a href="/wiki/Crossed_quadrilateral" class="mw-redirect" title="Crossed quadrilateral">Crossed</a></li> <li><a href="/wiki/Cyclic_quadrilateral" title="Cyclic quadrilateral">Cyclic</a></li> <li><a href="/wiki/Equidiagonal_quadrilateral" title="Equidiagonal quadrilateral">Equidiagonal</a></li> <li><a href="/wiki/Ex-tangential_quadrilateral" title="Ex-tangential quadrilateral">Ex-tangential</a></li> <li><a href="/wiki/Harmonic_quadrilateral" title="Harmonic quadrilateral">Harmonic</a></li> <li><a href="/wiki/Isosceles_trapezoid" title="Isosceles trapezoid">Isosceles trapezoid</a></li> <li><a href="/wiki/Kite_(geometry)" title="Kite (geometry)">Kite</a></li> <li><a href="/wiki/Orthodiagonal_quadrilateral" title="Orthodiagonal quadrilateral">Orthodiagonal</a></li> <li><a href="/wiki/Parallelogram" title="Parallelogram">Parallelogram</a></li> <li><a href="/wiki/Rectangle" title="Rectangle">Rectangle</a></li> <li><a href="/wiki/Right_kite" title="Right kite">Right kite</a></li> <li><a href="/wiki/Right_trapezoid" class="mw-redirect" title="Right trapezoid">Right trapezoid</a></li> <li><a href="/wiki/Rhomboid" title="Rhomboid">Rhomboid</a></li> <li><a class="mw-selflink selflink">Rhombus</a></li> <li><a href="/wiki/Square" title="Square">Square</a></li> <li><a href="/wiki/Tangential_quadrilateral" title="Tangential quadrilateral">Tangential</a></li> <li><a href="/wiki/Tangential_trapezoid" title="Tangential trapezoid">Tangential trapezoid</a></li> <li><a href="/wiki/Trapezoid" title="Trapezoid">Trapezoid</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">By number <br />of sides</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">1–10 sides</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Monogon" title="Monogon">Monogon (1)</a></li> <li><a href="/wiki/Digon" title="Digon">Digon (2)</a></li> <li><a href="/wiki/Triangle" title="Triangle">Triangle (3)</a></li> <li><a href="/wiki/Quadrilateral" title="Quadrilateral">Quadrilateral (4)</a></li> <li><a href="/wiki/Pentagon" title="Pentagon">Pentagon (5)</a></li> <li><a href="/wiki/Hexagon" title="Hexagon">Hexagon (6)</a></li> <li><a href="/wiki/Heptagon" title="Heptagon">Heptagon (7)</a></li> <li><a href="/wiki/Octagon" title="Octagon">Octagon (8)</a></li> <li><a href="/wiki/Nonagon" title="Nonagon">Nonagon/Enneagon (9)</a></li> <li><a href="/wiki/Decagon" title="Decagon">Decagon (10)</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">11–20 sides</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Hendecagon" title="Hendecagon">Hendecagon (11)</a></li> <li><a href="/wiki/Dodecagon" title="Dodecagon">Dodecagon (12)</a></li> <li><a href="/wiki/Tridecagon" title="Tridecagon">Tridecagon (13)</a></li> <li><a href="/wiki/Tetradecagon" title="Tetradecagon">Tetradecagon (14)</a></li> <li><a href="/wiki/Pentadecagon" title="Pentadecagon">Pentadecagon (15)</a></li> <li><a href="/wiki/Hexadecagon" title="Hexadecagon">Hexadecagon (16)</a></li> <li><a href="/wiki/Heptadecagon" title="Heptadecagon">Heptadecagon (17)</a></li> <li><a href="/wiki/Octadecagon" title="Octadecagon">Octadecagon (18)</a></li> <li><a href="/wiki/Icosagon" title="Icosagon">Icosagon (20)</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">>20 sides</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Icositrigon" title="Icositrigon">Icositrigon (23)</a></li> <li><a href="/wiki/Icositetragon" title="Icositetragon">Icositetragon (24)</a></li> <li><a href="/wiki/Triacontagon" title="Triacontagon">Triacontagon (30)</a></li> <li><a href="/wiki/257-gon" title="257-gon">257-gon</a></li> <li><a href="/wiki/Chiliagon" title="Chiliagon">Chiliagon (1000)</a></li> <li><a href="/wiki/Myriagon" title="Myriagon">Myriagon (10,000)</a></li> <li><a href="/wiki/65537-gon" title="65537-gon">65537-gon</a></li> <li><a href="/wiki/Megagon" title="Megagon">Megagon (1,000,000)</a></li> <li><a href="/wiki/Apeirogon" title="Apeirogon">Apeirogon (∞)</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Star_polygon" title="Star polygon">Star polygons</a><br /></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Pentagram" title="Pentagram">Pentagram</a></li> <li><a href="/wiki/Hexagram" title="Hexagram">Hexagram</a></li> <li><a href="/wiki/Heptagram" title="Heptagram">Heptagram</a></li> <li><a href="/wiki/Octagram" title="Octagram">Octagram</a></li> <li><a href="/wiki/Enneagram_(geometry)" title="Enneagram (geometry)">Enneagram</a></li> <li><a href="/wiki/Decagram_(geometry)" title="Decagram (geometry)">Decagram</a></li> <li><a href="/wiki/Hendecagram" title="Hendecagram">Hendecagram</a></li> <li><a href="/wiki/Dodecagram" title="Dodecagram">Dodecagram</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Classes</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Concave_polygon" title="Concave polygon">Concave</a></li> <li><a href="/wiki/Convex_polygon" title="Convex polygon">Convex</a></li> <li><a href="/wiki/Cyclic_polygon" class="mw-redirect" title="Cyclic polygon">Cyclic</a></li> <li><a href="/wiki/Equiangular_polygon" title="Equiangular polygon">Equiangular</a></li> <li><a href="/wiki/Equilateral_polygon" title="Equilateral polygon">Equilateral</a></li> <li><a href="/wiki/Infinite_skew_polygon" title="Infinite skew polygon">Infinite skew</a></li> <li><a href="/wiki/Isogonal_figure" title="Isogonal figure">Isogonal</a></li> <li><a href="/wiki/Isotoxal_figure" title="Isotoxal figure">Isotoxal</a></li> <li><a href="/wiki/Magic_polygon" title="Magic polygon">Magic</a></li> <li><a href="/wiki/Pseudotriangle" title="Pseudotriangle">Pseudotriangle</a></li> <li><a href="/wiki/Rectilinear_polygon" title="Rectilinear polygon">Rectilinear</a></li> <li><a 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