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An approximation of the AuthaGraph projection. AuthaGraph is an approximately equal-area world map projection invented by Japanese architect Hajime Narukawa [1] in 1999. [2] 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.
In cartography, an equivalent, authalic, or equal-area projection is a map projection that preserves relative area measure between any and all map regions. Equivalent projections are widely used for thematic maps showing scenario distribution such as population, farmland distribution, forested areas, and so forth, because an equal-area map does ...
[citation needed] The AuthaGraph projection method can convert an omnidirectional view and a full spherical image, such as a globe, on a rectangular flat display without gaps and overlaps. [3] In 2011 the AuthaGraph mapping projection was selected by the Japanese National Museum of Emerging Science and innovation (Miraikan) as its official ...
Buckminster Fuller's Dymaxion map. A polyhedral map projection is a map projection based on a spherical polyhedron. Typically, the polyhedron is overlaid on the globe, and each face of the polyhedron is transformed to a polygon or other shape in the plane. The best-known polyhedral map projection is Buckminster Fuller's Dymaxion map.
Snyder [6] describes generating formulae for the projection, as well as the projection's characteristics. Coordinates from a spherical datum can be transformed into Albers equal-area conic projection coordinates with the following formulas, where is the radius, is the longitude, the reference longitude, the latitude, the reference latitude and and the standard parallels:
Until its dissolution in 2020, Amherst-based ODT Maps Inc. was the exclusive North American publisher of Peters and Hobo–Dyer projection maps. [ 25 ] [ 26 ] [ 27 ] On April 16, 2024, Nebraska Governor Jim Pillen signed a law that requires public schools to display maps based on the Gall–Peters projection, a similar cylindrical equal-area ...
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The Dymaxion map projection, also called the Fuller projection, is a kind of polyhedral map projection of the Earth's surface onto the unfolded net of an icosahedron. The resulting map is heavily interrupted in order to reduce shape and size distortion compared to other world maps , but the interruptions are chosen to lie in the ocean.