Kavrayskiy VII projection

Kavrayskiy VII projection of the Earth.

File:Tissot indicatrix world map Kavrayskiy VII proj.jpg

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 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:

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

$y = \varphi\,$

where λ is the longitude and φ is the latitude in radians.

See also

• List of map projections
• Cartography
• Wagner VI 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.