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Dymaxion map - Wikipedia
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Available in 17 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-17" 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">17 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Mapa_Dymaxion" title="Mapa Dymaxion – Catalan" lang="ca" hreflang="ca" data-title="Mapa Dymaxion" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A7%CE%AC%CF%81%CF%84%CE%B7%CF%82_Dymaxion" title="Χάρτης Dymaxion – Greek" lang="el" hreflang="el" data-title="Χάρτης Dymaxion" 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/Mapa_Dymaxion" title="Mapa Dymaxion – Spanish" lang="es" hreflang="es" data-title="Mapa Dymaxion" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Dymaxion_mapa" title="Dymaxion mapa – Basque" lang="eu" hreflang="eu" data-title="Dymaxion mapa" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Projection_de_Fuller" title="Projection de Fuller – French" lang="fr" hreflang="fr" data-title="Projection de Fuller" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%A1%E0%A4%BE%E0%A4%AF%E0%A4%AE%E0%A5%88%E0%A4%95%E0%A5%8D%E0%A4%B8%E0%A4%BF%E0%A4%AF%E0%A4%AE_%E0%A4%A8%E0%A4%95%E0%A5%8D%E0%A4%B6%E0%A4%BE" title="डायमैक्सियम नक्शा – Hindi" lang="hi" hreflang="hi" data-title="डायमैक्सियम नक्शा" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Peta_Dymaxion" title="Peta Dymaxion – Indonesian" lang="id" hreflang="id" data-title="Peta Dymaxion" 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-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Proiezione_di_Fuller" title="Proiezione di Fuller – Italian" lang="it" hreflang="it" data-title="Proiezione di Fuller" 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%94%D7%99%D7%98%D7%9C_%D7%A4%D7%95%D7%9C%D7%A8" title="היטל פולר – Hebrew" lang="he" hreflang="he" data-title="היטל פולר" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Fuller-vet%C3%BClet" title="Fuller-vetület – Hungarian" lang="hu" hreflang="hu" data-title="Fuller-vetület" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Dymaxion-projectie" title="Dymaxion-projectie – Dutch" lang="nl" hreflang="nl" data-title="Dymaxion-projectie" 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/%E3%83%80%E3%82%A4%E3%83%9E%E3%82%AF%E3%82%B7%E3%83%A7%E3%83%B3%E5%9C%B0%E5%9B%B3" title="ダイマクション地図 – Japanese" lang="ja" hreflang="ja" data-title="ダイマクション地図" 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-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Mapa_Dymaxion" title="Mapa Dymaxion – Portuguese" lang="pt" hreflang="pt" data-title="Mapa Dymaxion" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D1%80%D0%BE%D0%B5%D0%BA%D1%86%D0%B8%D1%8F_%D0%94%D0%B8%D0%BC%D0%B0%D0%BA%D1%81%D0%B8%D0%BE%D0%BD" title="Проекция Димаксион – Russian" lang="ru" hreflang="ru" data-title="Проекция Димаксион" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Dymaxionkarta" title="Dymaxionkarta – Swedish" lang="sv" hreflang="sv" data-title="Dymaxionkarta" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link 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searchaux" style="display:none">Polyhedral compromise map projection</div> <style data-mw-deduplicate="TemplateStyles:r1034237262">.mw-parser-output .stack{box-sizing:border-box}.mw-parser-output .stack>div{margin:1px;overflow:hidden}@media all and (min-width:720px){.mw-parser-output .stack-clear-left{float:left;clear:left}.mw-parser-output .stack-clear-right{float:right;clear:right}.mw-parser-output .stack-left{float:left}.mw-parser-output .stack-right{float:right}.mw-parser-output .stack-margin-clear-left{float:left;clear:left;margin-right:1em}.mw-parser-output .stack-margin-clear-right{float:right;clear:right;margin-left:1em}.mw-parser-output .stack-margin-left{float:left;margin-right:1em}.mw-parser-output .stack-margin-right{float:right;margin-left:1em}}</style><div class="stack mw-stack stack-right"><div> <figure typeof="mw:File/Thumb"><a href="/wiki/File:Dymaxion_projection.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/53/Dymaxion_projection.png/300px-Dymaxion_projection.png" decoding="async" width="300" height="142" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/53/Dymaxion_projection.png/450px-Dymaxion_projection.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/53/Dymaxion_projection.png/600px-Dymaxion_projection.png 2x" data-file-width="2180" data-file-height="1030" /></a><figcaption>The world on a Dymaxion projection, with 15° graticule</figcaption></figure> <figure typeof="mw:File/Thumb"><a href="/wiki/File:Dymaxion_with_Tissot%27s_Indicatrices_of_Distortion.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b0/Dymaxion_with_Tissot%27s_Indicatrices_of_Distortion.svg/300px-Dymaxion_with_Tissot%27s_Indicatrices_of_Distortion.svg.png" decoding="async" width="300" height="142" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b0/Dymaxion_with_Tissot%27s_Indicatrices_of_Distortion.svg/450px-Dymaxion_with_Tissot%27s_Indicatrices_of_Distortion.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b0/Dymaxion_with_Tissot%27s_Indicatrices_of_Distortion.svg/600px-Dymaxion_with_Tissot%27s_Indicatrices_of_Distortion.svg.png 2x" data-file-width="512" data-file-height="242" /></a><figcaption>Dymaxion projection with <a href="/wiki/Tissot%27s_indicatrix" title="Tissot's indicatrix">Tissot's indicatrix</a> of deformation</figcaption></figure></div></div> <p>The <b>Dymaxion map projection</b>, also called the <b>Fuller projection</b>, is a kind of <a href="/wiki/Polyhedral_map_projection" title="Polyhedral map projection">polyhedral map projection</a> of the Earth's surface onto the unfolded <a href="/wiki/Net_(polyhedron)" title="Net (polyhedron)">net</a> of an <a href="/wiki/Icosahedron" title="Icosahedron">icosahedron</a>. The resulting map is heavily <a href="/wiki/Interrupted_projection" class="mw-redirect" title="Interrupted projection">interrupted</a> in order to reduce shape and size distortion compared to other <a href="/wiki/World_map" title="World map">world maps</a>, but the interruptions are chosen to lie in the ocean. </p><p>The projection was invented by <a href="/wiki/Buckminster_Fuller" title="Buckminster Fuller">Buckminster Fuller</a>. In 1943, Fuller proposed a projection onto a <a href="/wiki/Cuboctahedron" title="Cuboctahedron">cuboctahedron</a>, which he called the <i>Dymaxion World</i>, using the name <i><a href="/wiki/Dymaxion" title="Dymaxion">Dymaxion</a></i> which he also applied to several of his other inventions. In 1954, Fuller and cartographer <a href="/wiki/Shoji_Sadao" title="Shoji Sadao">Shoji Sadao</a> produced an updated Dymaxion map, the <b>Airocean World Map</b>, based on an icosahedron with a few of the triangular faces cut to avoid breaks in landmasses. </p><p>The Dymaxion projection is intended for representations of the entire Earth. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="History">History</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Dymaxion_map&action=edit&section=1" title="Edit section: History"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The March 1, 1943, edition of <a href="/wiki/Life_(magazine)" title="Life (magazine)"><i>Life</i> magazine</a> included a photographic essay titled "Life Presents R. Buckminster Fuller's Dymaxion World", illustrating a projection onto a <a href="/wiki/Cuboctahedron" title="Cuboctahedron">cuboctahedron</a>, including several examples of possible arrangements of the square and triangular pieces, and a pull-out section of one-sided magazine pages with the map faces printed on them, intended to be cut out and glued to card stock to make a three-dimensional cuboctahedron or its two-dimensional net.<sup id="cite_ref-life1943_1-0" class="reference"><a href="#cite_note-life1943-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Fuller applied for a patent in the United States in February 1944 for the cuboctahedron projection, which was issued in January 1946.<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><p>In 1954, Fuller and cartographer <a href="/wiki/Shoji_Sadao" title="Shoji Sadao">Shoji Sadao</a> produced a new map onto an icosahedron instead of the cuboctahedron. It depicts Earth's continents as "one island", or nearly <a href="/wiki/Geographic_contiguity" title="Geographic contiguity">contiguous</a> land masses. References today to the Fuller projection or Dymaxion usually indicate this version. </p> <div class="mw-heading mw-heading2"><h2 id="Projection_of_each_triangle">Projection of each triangle</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Dymaxion_map&action=edit&section=2" title="Edit section: Projection of each triangle"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Unlike other <a href="/wiki/Polyhedral_map_projection" title="Polyhedral map projection">polyhedral map projections</a>, the Dymaxion map does not use a <a href="/wiki/Gnomonic_projection" title="Gnomonic projection">gnomonic projection</a> (perspective projection through the Earth's center onto the polyhedral surface), which causes length distortion away from the center of each face. Instead each triangle's three edges on the Dymaxion map match the scale along the corresponding arcs of <a href="/wiki/Great_circle" title="Great circle">great circles</a> on the Earth (modeled as a sphere), and then the scale diminishes toward the middle of the triangle.<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> The transformation process was formally mathematically defined in 1978.<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><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><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> <div class="mw-heading mw-heading2"><h2 id="Properties">Properties</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Dymaxion_map&action=edit&section=3" title="Edit section: Properties"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1237032888/mw-parser-output/.tmulti">.mw-parser-output .tmulti .multiimageinner{display:flex;flex-direction:column}.mw-parser-output .tmulti .trow{display:flex;flex-direction:row;clear:left;flex-wrap:wrap;width:100%;box-sizing:border-box}.mw-parser-output .tmulti .tsingle{margin:1px;float:left}.mw-parser-output .tmulti .theader{clear:both;font-weight:bold;text-align:center;align-self:center;background-color:transparent;width:100%}.mw-parser-output .tmulti .thumbcaption{background-color:transparent}.mw-parser-output .tmulti .text-align-left{text-align:left}.mw-parser-output .tmulti .text-align-right{text-align:right}.mw-parser-output .tmulti .text-align-center{text-align:center}@media all and (max-width:720px){.mw-parser-output .tmulti .thumbinner{width:100%!important;box-sizing:border-box;max-width:none!important;align-items:center}.mw-parser-output .tmulti .trow{justify-content:center}.mw-parser-output .tmulti .tsingle{float:none!important;max-width:100%!important;box-sizing:border-box;text-align:center}.mw-parser-output .tmulti .tsingle .thumbcaption{text-align:left}.mw-parser-output .tmulti .trow>.thumbcaption{text-align:center}}@media screen{html.skin-theme-clientpref-night .mw-parser-output .tmulti .multiimageinner img{background-color:white}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .tmulti .multiimageinner img{background-color:white}}</style><div class="thumb tmulti tright"><div class="thumbinner multiimageinner" style="width:303px;max-width:303px"><div class="trow"><div class="tsingle" style="width:57px;max-width:57px"><div class="thumbimage"><span typeof="mw:File"><a href="/wiki/File:Zeroth_stellation_of_icosahedron.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/67/Zeroth_stellation_of_icosahedron.svg/55px-Zeroth_stellation_of_icosahedron.svg.png" decoding="async" width="55" height="55" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/67/Zeroth_stellation_of_icosahedron.svg/83px-Zeroth_stellation_of_icosahedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/67/Zeroth_stellation_of_icosahedron.svg/110px-Zeroth_stellation_of_icosahedron.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span></div><div class="thumbcaption">An icosahedron, the shape the world map is projected onto before unfolding</div></div><div class="tsingle" style="width:242px;max-width:242px"><div class="thumbimage"><span typeof="mw:File"><span><video id="mwe_player_0" poster="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Dymaxion_2003_animation_small1.webm/240px--Dymaxion_2003_animation_small1.webm.jpg" controls="" preload="none" data-mw-tmh="" class="mw-file-element" width="240" height="154" data-durationhint="18" data-mwtitle="Dymaxion_2003_animation_small1.webm" data-mwprovider="wikimediacommons"><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/f/fb/Dymaxion_2003_animation_small1.webm/Dymaxion_2003_animation_small1.webm.240p.vp9.webm" type="video/webm; codecs="vp9, opus"" data-transcodekey="240p.vp9.webm" data-width="364" data-height="234" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/f/fb/Dymaxion_2003_animation_small1.webm/Dymaxion_2003_animation_small1.webm.360p.webm" type="video/webm; codecs="vp8, vorbis"" data-transcodekey="360p.webm" data-width="364" data-height="234" /><source src="//upload.wikimedia.org/wikipedia/commons/f/fb/Dymaxion_2003_animation_small1.webm" type="video/webm; codecs="vp9"" data-width="364" data-height="234" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/f/fb/Dymaxion_2003_animation_small1.webm/Dymaxion_2003_animation_small1.webm.144p.mjpeg.mov" type="video/quicktime" data-transcodekey="144p.mjpeg.mov" data-width="224" data-height="144" /></video></span></span></div><div class="thumbcaption">The world flattens to a Dymaxion map as it unfolds into an <a href="/wiki/Icosahedron" title="Icosahedron">icosahedron</a> net with nearly contiguous land masses.</div></div></div></div></div> <p>Though neither <a href="/wiki/Conformal_map_projection" title="Conformal map projection">conformal</a> nor <a href="/wiki/Equal-area_projection" title="Equal-area projection">equal-area</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> Fuller claimed that his map had several advantages over other projections for world maps. </p><p>It has less distortion of relative size of areas, most notably when compared to the <a href="/wiki/Mercator_projection" title="Mercator projection">Mercator projection</a>; and less distortion of shapes of areas, notably when compared to the <a href="/wiki/Gall%E2%80%93Peters_projection" title="Gall–Peters projection">Gall–Peters projection</a>. Other <a href="/wiki/Map_projection#Compromise_projections" title="Map projection">compromise projections</a> attempt a similar trade-off. </p><p>More unusually, the Dymaxion map does not have any "right way up". Fuller argued that in the universe there is no "up" and "down", or "north" and "south": only "in" and "out".<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> Gravitational forces of the stars and planets created "in", meaning "towards the gravitational center", and "out", meaning "away from the gravitational center". He attributed the north-up-superior/south-down-inferior presentation of most other world maps to <a href="/wiki/Cultural_bias" title="Cultural bias">cultural bias</a>. </p><p>Fuller intended the map to be unfolded in different ways to emphasize different aspects of the world.<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> Peeling the triangular faces of the icosahedron apart in one way results in an icosahedral net that shows an almost contiguous land mass comprising all of Earth's continents – not groups of continents divided by oceans. Peeling the solid apart in a different way presents a view of the world dominated by connected oceans surrounded by land. </p><p>Showing the continents as "one island earth" also helped Fuller explain, in his book <i><a href="/wiki/Critical_Path_(book)" title="Critical Path (book)">Critical Path</a></i>, the journeys of early seafaring people, who were in effect using <a href="/wiki/Prevailing_winds" title="Prevailing winds">prevailing winds</a> to circumnavigate this world island. </p><p>However, the Dymaxion map can also prove difficult to use. It is, for example, confusing to describe the four <a href="/wiki/Cardinal_directions" class="mw-redirect" title="Cardinal directions">cardinal directions</a> and locate <a href="/wiki/Geographic_coordinates" class="mw-redirect" title="Geographic coordinates">geographic coordinates</a>. The awkward shape of the map may be counterintuitive to most people trying to use it. For example, the shortest route from Africa to South America is not obvious. Depending on how the map is projected, land masses and oceans are often divided into several pieces. </p> <div class="mw-heading mw-heading2"><h2 id="Conformal_variant">Conformal variant</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Dymaxion_map&action=edit&section=4" title="Edit section: Conformal variant"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In 2019, Daniel "daan" Strebe developed a <a href="/wiki/Conformal_map_projection" title="Conformal map projection">conformal</a> icosahedral projection, similar to the conformal projections to an octahedron by <a href="/wiki/Oscar_S._Adams" title="Oscar S. Adams">Oscar S. Adams</a> (1928) and to a tetrahedron by <a href="/wiki/Laurence_P._Lee" class="mw-redirect" title="Laurence P. Lee">Laurence P. Lee</a> (1965), all three using <a href="/wiki/Dixon_elliptic_functions" title="Dixon elliptic functions">Dixon elliptic functions</a>. A conformal map preserves angles and local shapes from the sphere at the expense of increasing the scale distortion near the vertices of the icosahedron.<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="switcher-container"><div><span typeof="mw:File"><a href="/wiki/File:Tobias_jung_tissot_30_dymaxion_fuller_projection.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/74/Tobias_jung_tissot_30_dymaxion_fuller_projection.jpg/400px-Tobias_jung_tissot_30_dymaxion_fuller_projection.jpg" decoding="async" width="400" height="189" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/74/Tobias_jung_tissot_30_dymaxion_fuller_projection.jpg/600px-Tobias_jung_tissot_30_dymaxion_fuller_projection.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/74/Tobias_jung_tissot_30_dymaxion_fuller_projection.jpg/800px-Tobias_jung_tissot_30_dymaxion_fuller_projection.jpg 2x" data-file-width="1008" data-file-height="476" /></a></span> <span class="switcher-label" style="display:none">Fuller projection</span></div><div><span typeof="mw:File"><a href="/wiki/File:Tobias_jung_tissot_30_dymaxion-like_conformal_projection.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/57/Tobias_jung_tissot_30_dymaxion-like_conformal_projection.jpg/400px-Tobias_jung_tissot_30_dymaxion-like_conformal_projection.jpg" decoding="async" width="400" height="189" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/57/Tobias_jung_tissot_30_dymaxion-like_conformal_projection.jpg/600px-Tobias_jung_tissot_30_dymaxion-like_conformal_projection.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/57/Tobias_jung_tissot_30_dymaxion-like_conformal_projection.jpg/800px-Tobias_jung_tissot_30_dymaxion-like_conformal_projection.jpg 2x" data-file-width="1008" data-file-height="477" /></a></span> <span class="switcher-label" style="display:none">Dymaxion-like conformal projection</span></div></div> <p><small>Comparison of the Fuller projection and Strebe's Dymaxion-like <br />conformal projection with <a href="/wiki/Tissot%27s_indicatrix" title="Tissot's indicatrix">Tissot's indicatrices</a> at 30° intervals</small> </p> <div class="mw-heading mw-heading2"><h2 id="Influence">Influence</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Dymaxion_map&action=edit&section=5" title="Edit section: Influence"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A 1967 <a href="/wiki/Jasper_Johns" title="Jasper Johns">Jasper Johns</a> painting, <i>Map (Based on Buckminster Fuller's Dymaxion Airocean World)</i>, depicting a Dymaxion map, hangs in the permanent collection of the <a href="/wiki/Museum_Ludwig" title="Museum Ludwig">Museum Ludwig</a> in <a href="/wiki/Cologne" title="Cologne">Cologne</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><sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </p><p>The <a href="/wiki/World_Game" title="World Game">World Game</a>, a collaborative simulation game in which players attempt to solve world problems,<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> is played on a 70-by-35-foot Dymaxion map.<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup> </p><p>In 2013, to commemorate the 70th anniversary of the publication of the Dymaxion map in <i>Life</i> magazine, the Buckminster Fuller Institute announced the "Dymax Redux", a competition for graphic designers and visual artists to re-imagine the Dymaxion map.<sup id="cite_ref-DYMAX_REDUX_Winner_17-0" class="reference"><a href="#cite_note-DYMAX_REDUX_Winner-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup> The competition received over 300 entries from 42 countries.<sup id="cite_ref-DYMAX_REDUX_Winner_17-1" class="reference"><a href="#cite_note-DYMAX_REDUX_Winner-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> </p><p>The H3 hierarchical <a href="/wiki/Discrete_global_grid" title="Discrete global grid">global grid</a> implemented by <a href="/wiki/Uber" title="Uber">Uber</a> uses an icosahedron oriented in Dymaxion orientation, then further subdivided into hexagons.<sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup> </p><p>In 2020, a collaborative effort by thousands of <a href="/wiki/Minecraft" title="Minecraft">Minecraft</a> players, the <a href="/wiki/Build_the_Earth" title="Build the Earth">Build the Earth</a> project, used Strebe's conformal variant as a projection for building a 1:1 scale representation of the Earth inside the game.<sup id="cite_ref-20" class="reference"><a href="#cite_note-20"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Gallery">Gallery</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Dymaxion_map&action=edit&section=6" title="Edit section: Gallery"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul class="gallery mw-gallery-packed"> <li class="gallerybox" style="width: 259.33333333333px"> <div class="thumb" style="width: 257.33333333333px;"><span typeof="mw:File"><a href="/wiki/File:Dymaxion_map_ocean2.png" class="mw-file-description" title="This icosahedral net shows connected oceans surrounding Antarctica."><img alt="This icosahedral net shows connected oceans surrounding Antarctica." src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/Dymaxion_map_ocean2.png/386px-Dymaxion_map_ocean2.png" decoding="async" width="258" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/Dymaxion_map_ocean2.png/578px-Dymaxion_map_ocean2.png 1.5x, //upload.wikimedia.org/wikipedia/commons/e/ee/Dymaxion_map_ocean2.png 2x" data-file-width="736" data-file-height="344" /></a></span></div> <div class="gallerytext">This icosahedral net shows connected <a href="/wiki/Ocean" title="Ocean">oceans</a> surrounding <a href="/wiki/Antarctica" title="Antarctica">Antarctica</a>.</div> </li> <li class="gallerybox" style="width: 170px"> <div class="thumb" style="width: 168px;"><span typeof="mw:File"><a href="/wiki/File:World_map_of_prehistoric_human_migrations.jpg" class="mw-file-description" title="Example of use illustrating early human migrations according to mitochondrial population genetics (numbers are millennia before present)"><img alt="Example of use illustrating early human migrations according to mitochondrial population genetics (numbers are millennia before present)" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ab/World_map_of_prehistoric_human_migrations.jpg/252px-World_map_of_prehistoric_human_migrations.jpg" decoding="async" width="168" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ab/World_map_of_prehistoric_human_migrations.jpg/378px-World_map_of_prehistoric_human_migrations.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/ab/World_map_of_prehistoric_human_migrations.jpg/504px-World_map_of_prehistoric_human_migrations.jpg 2x" data-file-width="889" data-file-height="635" /></a></span></div> <div class="gallerytext">Example of use illustrating <a href="/wiki/Early_human_migrations" title="Early human migrations">early human migrations</a> according to <a href="/wiki/Mitochondrial_DNA" title="Mitochondrial DNA">mitochondrial</a> <a href="/wiki/Population_genetics" title="Population genetics">population genetics</a> (numbers are <a href="/wiki/Millennia" class="mw-redirect" title="Millennia">millennia</a> before present)</div> </li> <li class="gallerybox" style="width: 182.66666666667px"> <div class="thumb" style="width: 180.66666666667px;"><span typeof="mw:File"><a href="/wiki/File:Fuller_projection_with_largest_countries.svg" class="mw-file-description" title="Dymaxion map of the world with the 30 largest countries and territories by total area, roughly to scale"><img alt="Dymaxion map of the world with the 30 largest countries and territories by total area, roughly to scale" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7f/Fuller_projection_with_largest_countries.svg/271px-Fuller_projection_with_largest_countries.svg.png" decoding="async" width="181" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7f/Fuller_projection_with_largest_countries.svg/406px-Fuller_projection_with_largest_countries.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7f/Fuller_projection_with_largest_countries.svg/541px-Fuller_projection_with_largest_countries.svg.png 2x" data-file-width="512" data-file-height="341" /></a></span></div> <div class="gallerytext">Dymaxion map of the world with the 30 <a href="/wiki/List_of_countries_and_dependencies_by_area" title="List of countries and dependencies by area">largest countries and territories by total area</a>, roughly to scale</div> </li> </ul> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Dymaxion_map&action=edit&section=7" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/List_of_map_projections" title="List of map projections">List of map projections</a></li> <li><a href="/wiki/Authagraph_projection" class="mw-redirect" title="Authagraph projection">Authagraph projection</a>, inspired by Fuller, 1999</li> <li><a href="/wiki/Peirce_quincuncial_projection" title="Peirce quincuncial projection">Peirce quincuncial projection</a>, 1879</li> <li><a href="/wiki/Polyhedral_map_projection" title="Polyhedral map projection">Polyhedral map projection</a>, earliest known is by Leonardo da Vinci, 1514</li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Dymaxion_map&action=edit&section=8" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></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-life1943-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-life1943_1-0">^</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 class="citation magazine cs1"><a rel="nofollow" class="external text" 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href="/wiki/History_of_cartography" title="History of cartography">History</a></li> <li><a href="/wiki/List_of_map_projections" title="List of map projections">List</a></li> <li><a href="/wiki/Portal:Maps" title="Portal:Maps">Portal</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="By_surface" style="font-size:114%;margin:0 4em"><a href="/wiki/Map_projection#Projections_by_surface" title="Map projection">By surface</a></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" 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%"><a href="/wiki/Map_projection#Cylindrical" title="Map projection">Cylindrical</a></th><td class="navbox-list-with-group navbox-list navbox-odd" 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%;font-weight: normal;"><a href="/wiki/Mercator_projection" title="Mercator projection">Mercator</a>-conformal</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/Gauss%E2%80%93Kr%C3%BCger_coordinate_system" class="mw-redirect" title="Gauss–Krüger coordinate system">Gauss–Krüger</a></li> <li><a href="/wiki/Transverse_Mercator_projection" title="Transverse Mercator projection">Transverse Mercator</a></li> <li><a href="/wiki/Oblique_Mercator_projection" title="Oblique Mercator projection">Oblique Mercator</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;font-weight: normal;"><a href="/wiki/Cylindrical_equal-area_projection" title="Cylindrical equal-area projection">Equal-area</a></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/Cylindrical_equal-area_projection#Discussion" title="Cylindrical equal-area projection">Balthasart</a></li> <li><a href="/wiki/Behrmann_projection" title="Behrmann projection">Behrmann</a></li> <li><a href="/wiki/Gall%E2%80%93Peters_projection" title="Gall–Peters projection">Gall–Peters</a></li> <li><a href="/wiki/Hobo%E2%80%93Dyer_projection" title="Hobo–Dyer projection">Hobo–Dyer</a></li> <li><a href="/wiki/Lambert_cylindrical_equal-area_projection" title="Lambert cylindrical equal-area projection">Lambert</a></li> <li><a href="/wiki/Cylindrical_equal-area_projection#Discussion" title="Cylindrical equal-area projection">Smyth equal-surface</a></li> <li><a href="/wiki/Cylindrical_equal-area_projection#Discussion" title="Cylindrical equal-area projection">Trystan Edwards</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Cassini_projection" title="Cassini projection">Cassini</a></li> <li><a href="/wiki/Central_cylindrical_projection" title="Central cylindrical projection">Central</a></li> <li><a href="/wiki/Equirectangular_projection" title="Equirectangular projection">Equirectangular</a></li> <li><a href="/wiki/Gall_stereographic_projection" title="Gall stereographic projection">Gall stereographic</a></li> <li><a href="/wiki/Gall_isographic_projection" title="Gall isographic projection">Gall isographic</a></li> <li><a href="/wiki/Miller_cylindrical_projection" title="Miller cylindrical projection">Miller</a></li> <li><a href="/wiki/Space-oblique_Mercator_projection" title="Space-oblique Mercator projection">Space-oblique Mercator</a></li> <li><a href="/wiki/Web_Mercator_projection" title="Web Mercator projection">Web Mercator</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/Map_projection#Pseudocylindrical" title="Map projection">Pseudocylindrical</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th id="Equal-area" scope="row" class="navbox-group" style="width:1%">Equal-area</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/Collignon_projection" title="Collignon projection">Collignon</a></li> <li><a href="/wiki/Eckert_II_projection" title="Eckert II projection">Eckert II</a></li> <li><a href="/wiki/Eckert_IV_projection" title="Eckert IV projection">Eckert IV</a></li> <li><a href="/wiki/Eckert_VI_projection" title="Eckert VI projection">Eckert VI</a></li> <li><a href="/wiki/Equal_Earth_projection" title="Equal Earth projection">Equal Earth</a></li> <li><a href="/wiki/Goode_homolosine_projection" title="Goode homolosine projection">Goode homolosine</a></li> <li><a href="/wiki/Mollweide_projection" title="Mollweide projection">Mollweide</a></li> <li><a href="/wiki/Sinusoidal_projection" title="Sinusoidal projection">Sinusoidal</a></li> <li><a href="/wiki/Tobler_hyperelliptical_projection" title="Tobler hyperelliptical projection">Tobler hyperelliptical</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Kavrayskiy_VII_projection" title="Kavrayskiy VII projection">Kavrayskiy VII</a></li> <li><a href="/wiki/Wagner_VI_projection" title="Wagner VI projection">Wagner VI</a></li> <li><a href="/wiki/Winkel_projection" title="Winkel projection">Winkel I and II</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/Map_projection#Conical" title="Map projection">Conical</a></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/Albers_projection" title="Albers projection">Albers</a></li> <li><a href="/wiki/Equidistant_conic_projection" title="Equidistant conic projection">Equidistant</a></li> <li><a href="/wiki/Lambert_conformal_conic_projection" title="Lambert conformal conic projection">Lambert conformal</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Map_projection#Pseudoconical" title="Map projection">Pseudoconical</a></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/Bonne_projection" title="Bonne projection">Bonne</a></li> <li><a href="/wiki/Bottomley_projection" title="Bottomley projection">Bottomley</a></li> <li><a href="/wiki/Polyconic_projection_class" title="Polyconic projection class">Polyconic</a> <ul><li><a href="/wiki/American_polyconic_projection" title="American polyconic projection">American</a></li> <li><a href="/wiki/Latitudinally_equal-differential_polyconic_projection" title="Latitudinally equal-differential polyconic projection">Chinese</a></li></ul></li> <li><a href="/wiki/Werner_projection" title="Werner projection">Werner</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Map_projection#Azimuthal" title="Map projection">Azimuthal<br /><span class="nobold">(planar)</span></a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th id="General_perspective" scope="row" class="navbox-group" style="width:1%;font-weight: normal;"><a href="/wiki/General_Perspective_projection" title="General Perspective projection">General perspective</a></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/Gnomonic_projection" title="Gnomonic projection">Gnomonic</a></li> <li><a href="/wiki/Orthographic_map_projection" title="Orthographic map projection">Orthographic</a></li> <li><a href="/wiki/Stereographic_map_projection" title="Stereographic map projection">Stereographic</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Azimuthal_equidistant_projection" title="Azimuthal equidistant projection">Equidistant</a></li> <li><a href="/wiki/Lambert_azimuthal_equal-area_projection" title="Lambert azimuthal equal-area projection">Lambert equal-area</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/Map_projection#Pseudoazimuthal" title="Map projection">Pseudoazimuthal</a></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/Aitoff_projection" title="Aitoff projection">Aitoff</a></li> <li><a href="/wiki/Hammer_projection" title="Hammer projection">Hammer</a></li> <li><a href="/wiki/Wiechel_projection" title="Wiechel projection">Wiechel</a></li> <li><a href="/wiki/Winkel_tripel_projection" title="Winkel tripel projection">Winkel tripel</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="By_metric" style="font-size:114%;margin:0 4em"><a href="/wiki/Map_projection#Projections_by_preservation_of_a_metric_property" title="Map projection">By metric</a></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" 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%"><a href="/wiki/Conformal_map_projection" title="Conformal map projection">Conformal</a></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/Adams_hemisphere-in-a-square_projection" title="Adams hemisphere-in-a-square projection">Adams hemisphere-in-a-square</a></li> <li><a href="/wiki/Gauss%E2%80%93Kr%C3%BCger_coordinate_system" class="mw-redirect" title="Gauss–Krüger coordinate system">Gauss–Krüger</a></li> <li><a href="/wiki/Guyou_hemisphere-in-a-square_projection" title="Guyou hemisphere-in-a-square projection">Guyou hemisphere-in-a-square</a></li> <li><a href="/wiki/Lambert_conformal_conic_projection" title="Lambert conformal conic projection">Lambert conformal conic</a></li> <li><a href="/wiki/Mercator_projection" title="Mercator projection">Mercator</a></li> <li><a href="/wiki/Peirce_quincuncial_projection" title="Peirce quincuncial projection">Peirce quincuncial</a></li> <li><a href="/wiki/Stereographic_projection" title="Stereographic projection">Stereographic</a></li> <li><a href="/wiki/Transverse_Mercator_projection" title="Transverse Mercator projection">Transverse Mercator</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Equal-area_projection" title="Equal-area projection">Equal-area</a></th><td class="navbox-list-with-group navbox-list navbox-odd" 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%;font-weight: normal;"><a href="/wiki/Bonne_projection" title="Bonne projection">Bonne</a></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/Sinusoidal_projection" title="Sinusoidal projection">Sinusoidal</a></li> <li><a href="/wiki/Werner_projection" title="Werner projection">Werner</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;font-weight: normal;"><a href="/wiki/Bottomley_projection" title="Bottomley projection">Bottomley</a></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/Sinusoidal_projection" title="Sinusoidal projection">Sinusoidal</a></li> <li><a href="/wiki/Werner_projection" title="Werner projection">Werner</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;font-weight: normal;"><a href="/wiki/Cylindrical_equal-area_projection" title="Cylindrical equal-area projection">Cylindrical</a></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/Cylindrical_equal-area_projection#Discussion" title="Cylindrical equal-area projection">Balthasart</a></li> <li><a href="/wiki/Behrmann_projection" title="Behrmann projection">Behrmann</a></li> <li><a href="/wiki/Gall%E2%80%93Peters_projection" title="Gall–Peters projection">Gall–Peters</a></li> <li><a href="/wiki/Hobo%E2%80%93Dyer_projection" title="Hobo–Dyer projection">Hobo–Dyer</a></li> <li><a href="/wiki/Lambert_cylindrical_equal-area_projection" title="Lambert cylindrical equal-area projection">Lambert cylindrical equal-area</a></li> <li><a href="/wiki/Cylindrical_equal-area_projection#Discussion" title="Cylindrical equal-area projection">Smyth equal-surface</a></li> <li><a href="/wiki/Cylindrical_equal-area_projection#Discussion" title="Cylindrical equal-area projection">Trystan Edwards</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;font-weight: normal;"><a href="/wiki/Tobler_hyperelliptical_projection" title="Tobler hyperelliptical projection">Tobler hyperelliptical</a></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/Collignon_projection" title="Collignon projection">Collignon</a></li> <li><a href="/wiki/Mollweide_projection" title="Mollweide projection">Mollweide</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Albers_projection" title="Albers projection">Albers</a></li> <li><a href="/wiki/Hammer_projection#Briesemeister" title="Hammer projection">Briesemeister</a></li> <li><a href="/wiki/Eckert_II_projection" title="Eckert II projection">Eckert II</a></li> <li><a href="/wiki/Eckert_IV_projection" title="Eckert IV projection">Eckert IV</a></li> <li><a href="/wiki/Eckert_VI_projection" title="Eckert VI projection">Eckert VI</a></li> <li><a href="/wiki/Equal_Earth_projection" title="Equal Earth projection">Equal Earth</a></li> <li><a href="/wiki/Goode_homolosine_projection" title="Goode homolosine projection">Goode homolosine</a></li> <li><a href="/wiki/Hammer_projection" title="Hammer projection">Hammer</a></li> <li><a href="/wiki/Lambert_azimuthal_equal-area_projection" title="Lambert azimuthal equal-area projection">Lambert azimuthal equal-area</a></li> <li><a href="/wiki/Quadrilateralized_spherical_cube" title="Quadrilateralized spherical cube">Quadrilateralized spherical cube</a></li> <li><a href="/wiki/Strebe_1995_projection" title="Strebe 1995 projection">Strebe 1995</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/Map_projection#Equidistant" title="Map projection">Equidistant in<br />some aspect</a></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/Equidistant_conic_projection" title="Equidistant conic projection">Conic</a></li> <li><a href="/wiki/Equirectangular_projection" title="Equirectangular projection">Equirectangular</a></li> <li><a href="/wiki/Sinusoidal_projection" title="Sinusoidal projection">Sinusoidal</a></li> <li><a href="/wiki/Two-point_equidistant_projection" title="Two-point equidistant projection">Two-point</a></li> <li><a href="/wiki/Werner_projection" title="Werner projection">Werner</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Map_projection#Gnomonic" title="Map projection">Gnomonic</a></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/Gnomonic_projection" title="Gnomonic projection">Gnomonic</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Map_projection#Rhumb_line" title="Map projection">Loxodromic</a></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/Loximuthal_projection" title="Loximuthal projection">Loximuthal</a></li> <li><a href="/wiki/Mercator_projection" title="Mercator projection">Mercator</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Map_projection#Retroazimuthal" title="Map projection">Retroazimuthal</a><br /><span class="nobold">(Mecca or Qibla)</span></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/Craig_retroazimuthal_projection" title="Craig retroazimuthal projection">Craig</a></li> <li><a href="/wiki/Hammer_retroazimuthal_projection" title="Hammer retroazimuthal projection">Hammer</a></li> <li><a href="/wiki/Littrow_projection" title="Littrow projection">Littrow</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="By_construction" style="font-size:114%;margin:0 4em"><a href="/wiki/Map_projection#Classification" title="Map projection">By construction</a></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" 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%"><a href="/wiki/Map_projection#Compromise_projections" title="Map projection">Compromise</a></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/Chamberlin_trimetric_projection" title="Chamberlin trimetric projection">Chamberlin trimetric</a></li> <li><a href="/wiki/Kavrayskiy_VII_projection" title="Kavrayskiy VII projection">Kavrayskiy VII</a></li> <li><a href="/wiki/Miller_cylindrical_projection" title="Miller cylindrical projection">Miller cylindrical</a></li> <li><a href="/wiki/Natural_Earth_projection" title="Natural Earth projection">Natural Earth</a></li> <li><a href="/wiki/Robinson_projection" title="Robinson projection">Robinson</a></li> <li><a href="/wiki/Van_der_Grinten_projection" title="Van der Grinten projection">Van der Grinten</a></li> <li><a href="/wiki/Wagner_VI_projection" title="Wagner VI projection">Wagner VI</a></li> <li><a href="/wiki/Winkel_tripel_projection" title="Winkel tripel projection">Winkel tripel</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Map_projection#Hybrid" title="Map projection">Hybrid</a></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/Goode_homolosine_projection" title="Goode homolosine projection">Goode homolosine</a></li> <li><a href="/wiki/HEALPix" title="HEALPix">HEALPix</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Map_projection#Perspective_projections" title="Map projection">Perspective</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th id="Planar" scope="row" class="navbox-group" style="width:1%;font-weight: normal;"><a href="/wiki/General_Perspective_projection" title="General Perspective projection">Planar</a></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/Gnomonic_projection" title="Gnomonic projection">Gnomonic</a></li> <li><a href="/wiki/Orthographic_map_projection" title="Orthographic map projection">Orthographic</a></li> <li><a href="/wiki/Stereographic_projection" title="Stereographic projection">Stereographic</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Central_cylindrical_projection" title="Central cylindrical projection">Central cylindrical</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/Map_projection#Polyhedral" title="Map projection">Polyhedral</a></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/AuthaGraph_projection" title="AuthaGraph projection">AuthaGraph</a></li> <li><a href="/wiki/Bernard_J._S._Cahill" title="Bernard J. S. Cahill">Cahill Butterfly</a></li> <li><a href="/wiki/Cahill%E2%80%93Keyes_projection" title="Cahill–Keyes projection">Cahill–Keyes M-shape</a></li> <li><a class="mw-selflink selflink">Dymaxion</a></li> <li><a href="/wiki/Snyder_equal-area_projection" title="Snyder equal-area projection">ISEA</a></li> <li><a href="/wiki/Quadrilateralized_spherical_cube" title="Quadrilateralized spherical cube">Quadrilateralized spherical cube</a></li> <li><a href="/wiki/Waterman_butterfly_projection" title="Waterman butterfly projection">Waterman butterfly</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="See_also" style="font-size:114%;margin:0 4em">See also</div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Interruption_(map_projection)" title="Interruption (map projection)">Interruption (map projection)</a></li> <li><a href="/wiki/Latitude" title="Latitude">Latitude</a></li> <li><a href="/wiki/Longitude" title="Longitude">Longitude</a></li> <li><a href="/wiki/Tissot%27s_indicatrix" title="Tissot's indicatrix">Tissot's indicatrix</a></li> <li><a href="/wiki/Map_projection_of_the_tri-axial_ellipsoid" class="mw-redirect" title="Map projection of the tri-axial ellipsoid">Map projection of the tri-axial ellipsoid</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Buckminster_Fuller" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Buckminster_Fuller" title="Template:Buckminster Fuller"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Buckminster_Fuller" title="Template talk:Buckminster Fuller"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Buckminster_Fuller" title="Special:EditPage/Template:Buckminster Fuller"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Buckminster_Fuller" style="font-size:114%;margin:0 4em"><a href="/wiki/Buckminster_Fuller" title="Buckminster Fuller">Buckminster Fuller</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Books</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><i><a href="/wiki/Nine_Chains_to_the_Moon" title="Nine Chains to the Moon">Nine Chains to the Moon</a></i> (1938)</li> <li><i><a href="/wiki/Operating_Manual_for_Spaceship_Earth" title="Operating Manual for Spaceship Earth">Operating Manual for Spaceship Earth</a></i> (1968)</li> <li><i><a href="/wiki/Critical_Path_(book)" title="Critical Path (book)">Critical Path</a></i> (1981)</li> <li><a href="/wiki/Dymaxion_Chronofile" title="Dymaxion Chronofile">Dymaxion Chronofile</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</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/Dymaxion_house" title="Dymaxion house">Dymaxion house</a> (1928)</li> <li><a href="/wiki/Dymaxion_car" title="Dymaxion car">Dymaxion car</a> (1933)</li> <li><a href="/wiki/Dymaxion_deployment_unit" title="Dymaxion deployment unit">Dymaxion deployment unit</a> (1940)</li> <li><a class="mw-selflink selflink">Dymaxion map</a> (1946)</li> <li><a href="/wiki/Tensegrity" title="Tensegrity">Tensegrity</a> (1949)</li> <li><a href="/wiki/Geodesic_dome" title="Geodesic dome">Geodesic dome</a> (1953)</li> <li><a href="/wiki/World_Game" title="World Game">World Game</a> (1961)</li> <li><a href="/wiki/Octet_truss" class="mw-redirect" title="Octet truss">Octet truss</a> (1961)</li> <li><a href="/wiki/Fly%27s_Eye_Dome" title="Fly's Eye Dome">Fly's Eye Dome</a> (1965)</li> <li><a href="/wiki/Montreal_Biosphere" title="Montreal Biosphere">Expo 67 United States Pavilion</a> (1967)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related</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/Allegra_Fuller_Snyder" title="Allegra Fuller Snyder">Allegra Fuller Snyder</a> (daughter)</li> <li><a href="/wiki/Current_solar_income" title="Current solar income">Current solar income</a></li> <li><a href="/wiki/Synergetics_(Fuller)" title="Synergetics (Fuller)">Synergetics</a> <ul><li><a href="/wiki/Design_science_revolution" title="Design science revolution">Design science revolution</a></li> <li><a href="/wiki/Design_science" title="Design science">Design science</a></li></ul></li> <li><a href="/wiki/Cloud_Nine_(tensegrity_sphere)" class="mw-redirect" title="Cloud Nine (tensegrity sphere)">Cloud Nine tensegrity sphere</a></li> <li><a href="/wiki/Geoscope" title="Geoscope">Geoscope</a></li> <li><a href="/wiki/Dymaxion" title="Dymaxion">Dymaxion</a></li> <li><a href="/wiki/Proposed_domed_Brooklyn_Dodgers_stadium" title="Proposed domed Brooklyn Dodgers stadium">Proposed Brooklyn Dodgers stadium</a></li> <li><a href="/wiki/Gold_Dome" title="Gold Dome">Gold Dome</a></li> <li><a href="/wiki/Old_Man_River%27s_City_project" title="Old Man River's City project">Old Man River's City project</a></li> <li><a href="/wiki/R._Buckminster_Fuller_and_Anne_Hewlett_Dome_Home" title="R. Buckminster Fuller and Anne Hewlett Dome Home">R. Buckminster Fuller and Anne Hewlett Dome Home</a></li> <li><a href="/wiki/Ephemeralization" title="Ephemeralization">Ephemeralization</a></li> <li><a href="/wiki/Fullerene" title="Fullerene">Fullerene</a> <ul><li><a href="/wiki/Buckminsterfullerene" title="Buckminsterfullerene">Buckminsterfullerene</a></li></ul></li> <li><a href="/wiki/Buckminster_Fuller_Challenge" title="Buckminster Fuller Challenge">Buckminster Fuller Challenge</a></li> <li><i><a href="/wiki/Buckminster_Fuller:_Thinking_Out_Loud" title="Buckminster Fuller: Thinking Out Loud">Buckminster Fuller: Thinking Out Loud</a></i> (1996 documentary)</li> <li><i><a href="/wiki/The_Last_Dymaxion" title="The Last Dymaxion">The Last Dymaxion: Buckminster Fuller’s Dream Restored</a></i> (2012 documentary)</li> <li><a href="/wiki/Karlis_Johansons" title="Karlis Johansons">Karlis Johansons</a></li> <li><a href="/wiki/Kenneth_Snelson" title="Kenneth Snelson">Kenneth Snelson</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow hlist" colspan="2"><div> <ul><li><a href="/wiki/Category:Buckminster_Fuller" title="Category:Buckminster Fuller">Category</a></li> <li><a href="https://commons.wikimedia.org/wiki/Category:Buckminster_Fuller" class="extiw" title="commons:Category:Buckminster Fuller">Commons</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox authority-control" aria-labelledby="Authority_control_databases_frameless&#124;text-top&#124;10px&#124;alt=Edit_this_at_Wikidata&#124;link=https&#58;//www.wikidata.org/wiki/Q581192#identifiers&#124;class=noprint&#124;Edit_this_at_Wikidata" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Authority_control_databases_frameless&#124;text-top&#124;10px&#124;alt=Edit_this_at_Wikidata&#124;link=https&#58;//www.wikidata.org/wiki/Q581192#identifiers&#124;class=noprint&#124;Edit_this_at_Wikidata" style="font-size:114%;margin:0 4em"><a href="/wiki/Help:Authority_control" title="Help:Authority control">Authority control databases</a> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q581192#identifiers" title="Edit this at Wikidata"><img alt="Edit this at Wikidata" src="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/15px-OOjs_UI_icon_edit-ltr-progressive.svg.png 1.5x, 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