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The two straight-line distances from any point on the map to the two control points are correct. 2021 Gott, Goldberg and Vanderbei’s Azimuthal Equidistant J. Richard Gott, Dave Goldberg and Robert J. Vanderbei: Gott, Goldberg and Vanderbei’s double-sided disk map was designed to minimize all six types of map distortions.
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. Gall described the projection in 1855 at a science convention and published a paper on it in 1885. [1] Peters brought the projection to a wider audience ...
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:
For representational purposes only: The point on Earth closest to everyone in the world on average was calculated to be in Central Asia, with a mean distance of 5,000 kilometers (3,000 mi). Its antipodal point is correspondingly the farthest point from everyone on earth, and is located in the South Pacific near Easter Island , with a mean ...
The projection used in later versions of the Dymaxion map can be generalized to other equilateral triangular faces, [4] and even to certain quadrilaterals. [ 5 ] Polyhedral map projections are useful for creating discrete global grids , as with the quadrilateralized spherical cube and Icosahedral Snyder Equal Area (ISEA) grids.
The Equal Earth map projection is an equal-area pseudocylindrical global map projection, invented by Bojan Šavrič, Bernhard Jenny, and Tom Patterson in 2018. It is inspired by the widely used Robinson projection , but unlike the Robinson projection, retains the relative size of areas.
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.
Dymaxion map of the world with the 30 largest countries and territories by area. This is a list of the world's countries and their dependencies, ranked by total area, including land and water. This list includes entries that are not limited to those in the ISO 3166-1 standard, which covers sovereign states and dependent territories.