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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.
World map. A world map is a map of most or all of the surface of Earth. World maps, because of their scale, must deal with the problem of projection. Maps rendered in two dimensions by necessity distort the display of the three-dimensional surface of the Earth. While this is true of any map, these distortions reach extremes in a world map.
Gall–Peters projection. The Gall–Peters projection is a rectangular, equal-area map projection. Like all equal-area projections, it distorts most shapes. It is a cylindrical equal-area projection with latitudes 45° north and south as the regions on the map that have no distortion. The projection is named after James Gall and Arno Peters.
Detail of the map showing the names "Catigara" and "Mallaqua" where "was slain St. Thomas". The Waldseemüller map or Universalis Cosmographia ("Universal Cosmography ") is a printed wall map of the world by German cartographer Martin Waldseemüller, originally published in April 1507. It is known as the first map to use the name "America".
The Waterman "Butterfly" World Map is a map projection created by Steve Waterman. Waterman first published a map in this arrangement in 1996. The arrangement is an unfolding of a polyhedral globe with the shape of a truncated octahedron, evoking the butterfly map principle first developed by Bernard J.S. Cahill (1866–1944) in 1909.
Equal-area. Walter Behrmann. Cylindrical equal-area projection with standard parallels at 30°N/S and an aspect ratio of (3/4)π ≈ 2.356. 2002. Hobo–Dyer. Cylindrical. Equal-area. Mick Dyer. Cylindrical equal-area projection with standard parallels at 37.5°N/S and an aspect ratio of 1.977.