AuthaGraph projection: Difference between revisions

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{{Short description|Polyhedral compromise map projection}}

'''Authagraph''' is an approximately [[Map projection#Equal-area|equal-area]] [[world map]] [[Map projection|projection]] invented by Japanese architect [[Hajime Narukawa]]<ref>{{cite web|url=http://ist2010.jp/en/narukawa.html|title=鳴川肇 - Hajime Narukawa|work=ist2010.jp|accessdate=29 March 2015}}</ref> (鳴川肇) in 1999.<ref>{{cite web|url=http://www.exploraciones.cl/?p=1593%2F|title=A new accurate world « Exploraciones|work=exploraciones.cl|accessdate=29 March 2015}}</ref> The map is made by equally dividing a spherical surface into 96 triangles, transferring it to a [[tetrahedron]] while maintaining area proportions, and unfolding it onto a rectangle. The map substantially preserves sizes and shapes of all continents and oceans while it reduces distortions of their shapes, as inspired by the [[Dymaxion]] map. Triangular world maps are also possible using the same method. The name is derived from "[https://en.wiktionary.org/wiki/authalic authalic]" and "graph".

[[File:Projection_AuthaGraph.png|thumb|330x330px|An approximation of the AuthaGraph projection]]

'''AuthagraphAuthaGraph''' is an approximately [[Map projection#Equal-area|equal-area]] [[world map]] [[Mapmap projection|projection]] invented by Japanese architect [[Hajime Narukawa]]<ref>{{cite web|url=http://ist2010.jp/en/narukawa.html|title=鳴川肇 -– Hajime Narukawa|work=ist2010.jp|accessdateaccess-date=297 MarchFebruary 20152019|archive-url=https://web.archive.org/web/20161105203434/http://ist2010.jp/en/narukawa.html|archive-date=5 November 2016|url-status=dead}}</ref> (鳴川肇) in 1999.<ref>{{citeCite web|urllast=http://www.exploraciones.cl/?pOtake|first=1593%2FTomoko|titledate=A17 newJuly accurate2011|title=The world «according to ExploracionesAuthaGraph|workurl=exploracioneshttps://www.cljapantimes.co.jp/life/2011/07/17/general/the-world-according-to-authagraph/|accessdateaccess-date=291 MarchJune 20152021|website=[[The Japan Times]]}}</ref> The map is made by equally dividing a spherical surface into 96 triangles, transferring it to a [[tetrahedron]] while maintaining area proportions, and unfolding it ontoin the form of a rectangle: it is a [[polyhedral map projection]]. The map substantially preserves sizes and shapes of all continents and oceans while it reduces distortions of their shapes, as inspired by the [[Dymaxion map]]. mapThe projection does not have some of the major distortions of the [[Mercator projection]], like the expansion of countries in far northern latitudes, and allows for Antarctica to be displayed accurately and in whole.<ref name=":0">{{cite web|url=http://www.authagraph.com/projects/description/【作品解説】記事01/?lang=en|title=AuthaGraph オーサグラフ 世界地図|access-date=7 February 2019|archive-url=https://web.archive.org/web/20181213230718/http://www.authagraph.com/projects/description/%E3%80%90%E4%BD%9C%E5%93%81%E8%A7%A3%E8%AA%AC%E3%80%91%E8%A8%98%E4%BA%8B01/?lang=en|archive-date=13 December 2018|url-status=live}}</ref> Triangular world maps are also possible using the same method. The name is derived from "[https[wikt://en.wiktionary.org/wiki/authalic |authalic]]" and "graph".<ref name=":0" />

The method used to construct the projection ensures that the 96 regions of the sphere that are used to define the projection each have the correct area, but the projection does not qualify as equal-area because the method does not control area at infinitesimal scales or even within those regions.

The AuthagraphAuthaGraph world map can be tiled in any direction without visible seams. From this map-tiling, a new world map with [[triangular]], [[rectangular]] or a [[parallelogram]]'s outline can be framed with various regions at its center. This map provides a decentralized world view.<ref>http://www.authagraph.com/projects/description/【作品解説】記事01/?lang=en</ref> The [[map projection]] tries to reflect an infinite multiverse perspective that is intended for the understanding of global phenomena in the 21st century. The projection is useful for [[tessellation]] and thus allows for depicting temporal themes, such as a satellite's long-term movement around the earthEarth in a continuous line.<ref>{{cite web|url=http://www.ntticc.or.jp/Archive/2009/Openspace2009/Works/authagraph.html|title=ICC ONLINEOnline -– ARCHIVEArchive -– 2009 -– Open Space 2009 -– Works|work=ntticc.or.jp|accessdateaccess-date=297 MarchFebruary 20152019}}</ref>

In 2011 the AuthagraphAuthaGraph mapping projection was selected by the Japanese [[Miraikan|Japanese National Museum of Emerging Science and innovationInnovation]] (Miraikan)]] as its official mapping tool.<ref>{{cite web|url=http://www.miraikan.jst.go.jp/en/exhibition/tsunagari/authagraph.html|title=The National Museum of Emerging Science and Innovation (Miraikan)|work=jst.go.jp|accessdateaccess-date=297 MarchFebruary 20152019|archive-date=20 July 2019|archive-url=https://web.archive.org/web/20190720182129/https://www.miraikan.jst.go.jp/en/exhibition/tsunagari/authagraph.html|url-status=dead}}</ref><!-- As of 2015 it is used in official Japanese high school text books.<ref>http://dwl.gov-online.go.jp/video/cao/dl/public_html/gov/pdf/hlj/20120401/26-27.pdf {{Bare URL PDF|date=March 2022}}</ref> ((This is NOT what the source says - if you find a better reference, please add it both here and in the [Hajime Narukawa] article.)) --> In October 2016, the AuthagraphAuthaGraph mapping projection won the 2016 Good Design Grand Award from the [[Japan Institute of Design Promotion]].<ref>{{cite web|url=https://www.g-mark.org/award/describe/44527|title=World Map Projection [ AuthagraphAuthaGraph World Map ] -– Good Design Grand Award|accessdateaccess-date=17 NovemberFebruary 20162019}}</ref>

On April 16, 2024, [[Nebraska]] Governor [[Jim Pillen]] signed a law that requires public schools to use only maps based on the [[Gall–Peters projection]], a similar [[cylindrical equal-area projection]], or the AuthaGraph projection, beginning in the 2024–2025 school year.<ref>{{cite news|title=More than 100 bills sent to Nebraska Gov. Pillen for approval in legislative voting spree|first=Zach|last=Wendling|work=[[Nebraska Examiner]]|publisher=States Newsroom|date=April 11, 2024|url=https://nebraskaexaminer.com/2024/04/11/more-than-100-bills-sent-to-nebraska-gov-pillen-for-approval-in-legislative-voting-spree/}}</ref><ref>{{cite act|type=Legislative Bill|index=1329|legislature=Nebraska Legislature|article-type=Section|article=90|date=2024|pages=102–103|url=https://nebraskalegislature.gov/FloorDocs/108/PDF/Final/LB1329.pdf#page=102}}</ref><ref>{{cite web|title=LB1329|work=Nebraska Legislature|___location=Lincoln, Nebraska|date=April 18, 2024|accessdate=May 15, 2024|url=https://nebraskalegislature.gov/bills/view_bill.php?DocumentID=55393}}</ref>

==See also==

{{Portal|Atlas}}

* [[List of map projections]]

* [[Lee conformal world in a tetrahedron]], another tetrahedral projection, 1965

* [[Dymaxion map]], 1943

* [[Peirce quincuncial projection]], 1879

* [[Polyhedral map projection]], earliest known is by Leonardo da Vinci, 1514

==References==

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==External links==

* {{Official website}}

* [https://www.g-mark.org/award/describe/44527 Good Design Award]

{{Map Projectionsprojections}}

[[Category:1999 introductions]]

{{DEFAULTSORT:Authagraph projection}}

[[Category:Map projections]]

[[Category:Japanese inventions]]

{{Cartography-stub}}