Hyperarithmetical theory

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 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. 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.

See also

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• List of map projections
• Cartography
• Wagner VI projection

References

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External links

• Curvature in Map Projections, quantification of overall distortion in projections.