Hatano asymmetric

Classifications

pseudocylindric
equal-area

Graticule

Meridians: The central meridian is a straight line 0.48 as long as the equator. Other meridians are equally spaced elliptical arcs, concave toward the central meridian, but the eccentricity of each ellipse changes at the equator.
Parallels: Unequally spaced straight parallel lines. Perpendicular to the central meridian. Spacing not symmetrical about the equator.
Poles: Lines. The north pole is two-thirds as long and the south pole is three-fourths as long as the equator.
Symmetry: About the central meridian but not about the equator.

Scale

True along latitudes 40°42′N and 38°27′S Constant along any given latitude; normally different for the latitude of opposite sign.

Distortion

Free of distortion only at latitudes 40°42′N and 38°27′S at the central meridian.

Similar projections

Mollweide projection uses full symmetrical semiellipses for meridians, and poles are points.
Putnins P2' projection uses arcs less than semiellipses for meridians, but they are symmetrical about the equator, and poles are lines half the length of the equator.
Hatano Symmetrical equal-area projection (1972) uses the same graticule for the Northern Hemisphere. The Southern Hemisphere is symmetrical (the south pole is also two-thirds the length of the equator).

Origin

Presented by Masataka Hatano of Japan in 1972 as a modification of the Mollweide and Putnins P2' projections.

Description adapted from J.P. Snyder and P.M. Voxland, An Album of Map Projections, U.S. Geological Survey Professional Paper 1453. United States Government Printing Office: 1989.