Kawraiski VII projection

Kawraiski VII projection of the earth

Distortions of the Kawraiski VII projection illustrated with the Tissot indicatrix

The Kawraiski VII projection is a map network draft for the entire surface of the earth published by Vladimir Kawraiski in 1939 .

It represents a compromise between surface and angular accuracy and, in more recent studies, achieves values ​​that are comparable to the angle-triple projection , which is better known in the west .

Formulas

The projection of the coordinates on the map is defined as:

${\displaystyle x={\frac {3\lambda }{2\pi }}{\sqrt {{\frac {\pi ^{2}}{3}}-\phi ^{2}}}}$

${\displaystyle y=\phi \,}$

with longitude and latitude . ${\displaystyle \lambda \,}$ ${\displaystyle \phi \,}$

Individual evidence

1. ↑ Frank Canters, Roel Deknopper and William De Genst: A new approach for designing orthophanic world maps. (PDF; 384 kB)
2. ^ David M. Goldberg, J. Richard Gott: Large-Scale Distortions in Map Projections. (PDF; 2.8 MB)

literature

• John Parr Snyder: Flattening the Earth: Two Thousand Years of Map Projections. Chicago 1993, 201.

Web links

Commons : Kawraiski VII projections  - collection of images, videos and audio files