Editing Dymaxion map (section)

== Projection of each triangle ==

Unlike other [[polyhedral map projection]]s, the Dymaxion map does not use a [[gnomonic projection]] (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 [[great circle]]s on the Earth (modeled as a sphere), and then the scale diminishes toward the middle of the triangle.<ref>Fuller, ''Ideas and Integrities'' (1969 ed., p. 139).</ref> The transformation process was formally mathematically defined in 1978.<ref>{{Cite journal|last=Gray|first=Robert W.|date=1994-01-01|title=Fuller's Dymaxion Map|url=https://www.tandfonline.com/doi/abs/10.1559/152304094782540628|journal=Cartography and Geographic Information Systems|volume=21|issue=4|pages=243–246|doi=10.1559/152304094782540628|doi-broken-date=1 November 2024|issn=1050-9844}}</ref><ref>{{Cite journal|last=Gray|first=Robert W.|date=1995-10-01|title=Exact Transformation Equations for Fuller's World Map|url=https://utpjournals.press/doi/10.3138/1677-3273-Q862-1885|journal=Cartographica: The International Journal for Geographic Information and Geovisualization|volume=32|issue=3|pages=17–25|doi=10.3138/1677-3273-Q862-1885|issn=0317-7173}}</ref><ref>{{Cite journal|last=Crider|first=John E.|date=2008-03-01|title=Exact Equations for Fuller's Map Projection and Inverse|url=https://utpjournals.press/doi/10.3138/carto.43.1.67|journal=Cartographica: The International Journal for Geographic Information and Geovisualization|volume=43|issue=1|pages=67–72|doi=10.3138/carto.43.1.67|issn=0317-7173}}</ref><ref>[https://www.researchgate.net/publication/334307604_Dymaxion_Map_Transformations_-_Technical_White_Paper "Dymaxion Map Transformations - Technical White Paper"], Kitrick, Christopher, 2018</ref>