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 Soviet cartographer Vladimir V. Kavrayskiy in 1939 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, despite straight, evenly spaced parallels and a simple formulation. Regardless, it has not been widely used outside the former Soviet Union.

The projection is defined as

$$\begin{array}{cc}x& =\frac{3\lambda }{2}\sqrt{\frac{1}{3}-{\left(\frac{\phi }{\pi }\right)}^2}\\ y& =\phi \end{array}$$

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

See also

• List of map projections
• Cartography
• Wagner VI projection
• Robinson projection

External links

• Curvature in Map Projections, quantification of overall distortion in projections.
• Mapthematics Kavrayskiy VII, bivariate distortion map.
• Deducing the Kavrayskiy VII Projection, description of the properties of the Kavrayskiy VII projection.