variantsEckert

variantsEckert is a term used to describe different versions or adaptations of Eckert projections, which are pseudocylindrical equal-area map projections. These projections are known for their ability to preserve area while distorting shape and distance, particularly towards the poles. The original Eckert projection, developed by Max Eckert in 1906, is a family of projections with variations in how the meridians are curved.

The most common variants include Eckert I through Eckert VI. Eckert I and II are distinguished by their straight central meridian and arcs for the outer meridians, with Eckert I having meridians that are equally spaced arcs and Eckert II having arcs that are more closely spaced near the equator and further apart at the poles. Eckert III and IV feature a straight central meridian with meridians that are elliptical arcs, differing in their specific mathematical definition. Eckert V is a rectangular projection similar to a simple cylindrical projection but with equal area properties. Eckert VI uses a sine wave curve for its meridians, offering a distinctive visual appearance.

These variants are often chosen for thematic maps where accurate representation of area is crucial, such as in choropleth maps showing population density or resource distribution. Their widespread use in atlases and geographical publications highlights their utility in visualizing global data with a focus on area preservation.