Wagner VI projection explained

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 horizontally elongated by a factor of . This elongation results in proper preservation of shapes near the equator but slightly more distortion overall. The aspect ratio of this projection is 2:1, as formed by the ratio of the equator to the central meridian. This matches the ratio of Earth’s equator to any meridian.

The Wagner VI is defined by:[1] [2]

\begin x &= \lambda \sqrt \\ y &= \varphi \end

where

λ

is the longitude and

\varphi

is the latitude.

Inverse formula:

\begin \psi &= \arcsin\left(y\right) \\ \lambda &= \frac \\ \varphi &= y \end

See also

Notes and References

  1. Book: Wagner, Karlheinz . Kartographische Netzentwürfe . Bibliographisches Institut, Leipzig . 1949 . 197 .
  2. Book: Snyder, John P. . Flattening the Earth: Two Thousand Years of Map Projections . 1993 . 0-226-76747-7 . 205 .