Eisenlohr

Classifications

conformal
minimum-error

Graticule

Meridians: Central meridian is straight. Other meridians are curved and concave toward the central meridian.
Parallels: Equator is straight. Other parallels are curved and concave toward the nearest pole.
Poles: Points.
Symmetry: About the central meridian or the equator.

Scale

Increases rapidly with distance from the center. Constant scale around the boundary of a world map.

Distortion

Great distortion of area near the 180th meridians in comparison with the center.

Other features

Because the boundary of a world map is at a constant scale, the projection provides the minimum overall scale variation for a conformal world map. Like the August epicycloidal projection, the Eisenlohr has no “singular” points at which conformality fails.

Usage

Novelty whole-world maps.

Similar projections

August epicycloidal has a boundary of varying scale.
Van der Grinten IV is not conformal and has circular arcs for meridians and parallels.

Origin

Presented by Friedrich Eisenlohr of Germany in 1870.

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.