AuthaGraph projection: Difference between revisions

Revision as of 22:58, 23 November 2016

Revision as of 21:16, 9 December 2016

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'''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[wikt://en.wiktionary.org/wiki/authalic |authalic]]" and "graph".

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.