Boggs eumorphic projection

Its equal-area property makes it useful for presenting spatial distribution of phenomena.

[2] Boggs generally repeated regions in two different lobes of the interrupted map in order to show Greenland or eastern Russia undivided.

He preferred his interrupted version, and named it "eumorphic”, meaning "goodly shaped" (in Boggs's own words).

The projection's mathematical development was completed by Oscar S. Adams of the United States Coast and Geodetic Survey.

Given a radius of sphere R, an adjustment k = 1.00138, a central meridian λ0 and a point with geographical latitude φ and longitude λ, plane coordinates x and y can be computed using the following formulas: where θ can be solved for numerically using Newton's method.

Boggs eumorphic projection of the world.
Tissot indicatrix on Boggs eumorphic projection, 15° graticule, gradations every 10° of angular deformation.