# Kavrayskiy VII projection

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Kavrayskiy VII projection of the Earth.
The Kavrayskiy VII projection with Tissot's indicatrix of deformation

The Kavrayskiy VII projection is a map projection invented by Vladimir V. Kavrayskiy in 1939[1] for use as a general purpose pseudocylindrical projection. Like the Robinson projection, it is a compromise intended to produce good quality maps with low distortion overall. It scores well in that respect compared to other popular projections, such as the Winkel Tripel,[2][3] despite straight, evenly-spaced parallels and a simple formulation. It has been used in the former Soviet Union but is almost unknown elsewhere.[citation needed]

The projection is defined as:

$x = \frac{3 \lambda}{2} \sqrt{\frac{1}{3} - \left( \frac{\phi}{\pi} \right)^2}$
$y = \phi\,$

where $\lambda$ is the longitude and $\phi$ is the latitude in radians.

## References

1. ^ Snyder, John P. (1993). Flattening the Earth: Two Thousand Years of Map Projections. Chicago: University of Chicago Press. p. 202. ISBN 0-226-76747-7. Retrieved 2014-11-05.
2. ^ Goldberg, David M.; Gott III, J. Richard (2007). "Flexion and Skewness in Map Projections of the Earth". Cartographica 42 (4): 297–318. doi:10.3138/carto.42.4.297. Retrieved 2014-11-05.
3. ^ Capek, Richard (2001). "Which is the best projection for the world map?". Proceedings of the 20th International Cartographic Conference (Beijing, China) 5: 3084–93. Retrieved 2014-11-05.