Wagner VI projection

Wagner VI is a pseudocylindrical whole Earth map projection. Like the Robinson projection, it is a compromise projection, not having any special attributes other than a pleasing, low distortion appearance. Wagner VI is equivalent to the Kavrayskiy VII vertically compressed by a factor of $sqrt\{3\}/\{2\}$, this compression results in proper preservation of shapes near the equator but slightly more distortion overall. The aspect ratio of this projection is 2:1, which is equal to that of the Equirectangular projection.

The Wagner VI is defined by ["Flattening the Earth: Two Thousand Years of Map Projections", John P. Snyder, 1993, ISBN 0-226-76747-7, pg. 205.] :

:$x\; =\; lambda\; sqrt\{1\; -\; 3left(frac\{phi\}\{pi\}\; ight)^2\}$

:$y\; =\; phi,$.

References