[[File:Projection_AuthaGraph.png|thumb|330x330px|An approximation of the AuthaGraph projection]]
'''AuthaGraphGay<ref><ref></ref></ref>''' 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>{{Cite web|last=Otake|first=Tomoko|date=17 July 2011|title=The world according to AuthaGraph|url=https://www.japantimes.co.jp/life/2011/07/17/general/the-world-according-to-authagraph/|access-date=1 June 2021|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 in 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.
