AuthaGraph projection: Difference between revisions

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{{Short description|Polyhedral compromise map projection}}

[[File:Authagraph projection.jpg|thumb]]

[[File:Projection_AuthaGraph.png|thumb|330x330px|An approximation of the AuthaGraph 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|access-date=7 February 2019|archive-url=https://web.archive.org/web/20161105203434/http://ist2010.jp/en/narukawa.html|archive-date=5 November 2016|url-status=dead}}</ref> in 1999.<ref>{{citeCite web|urllast=http://www.exploraciones.cl/?pOtake|first=1593%2FTomoko|titledate=A17 newJuly accurate2011|title=The world «according Exploraciones|work=exploraciones.cl|access-date=29to March 2015AuthaGraph|archive-url=https://webwww.archivejapantimes.orgco.jp/weblife/201504021831362011/http:07/17/www.exploraciones.clgeneral/the-world-according-to-authagraph/?p=1593%2F|archiveaccess-date=21 AprilJune 20152021|url-statuswebsite=dead[[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]]. The 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 "[[wikt: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 AuthaGraph 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 [[tessellation]] 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 Online – Archive – 2009 – Open Space 2009 – Works|work=ntticc.or.jp|access-date=7 February 2019}}</ref>

In 2011 the AuthaGraph mapping projection was selected by the Japanese [[National Museum of Emerging Science and Innovation]] (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|access-date=7 February 2019|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 AuthaGraph 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 [AuthaGraph World Map] – Good Design Grand Award|access-date=7 February 2019}}</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==

* [[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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{{Map projections}}

[[Category:1999 introductions]]

[[Category:Map projections]]

[[Category:Japanese inventions]]