# Kavrayskiy VII projection

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] despite straight, evenly-spaced parallels and a simple formulation. It has been used in the former Soviet Union but is almost unknown elsewhere.

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. ^ Flattening the Earth: Two Thousand Years of Map Projections, John P. Snyder, 1993, ISBN 0-226-76747-7.
2. ^ Large-Scale Distortions in Map Projections, 2007, David M. Goldberg & J. Richard Gott III, 2007, V42 N4.