Random Geo Locations and Geo Projections

Many computations involve (or can be approximated by) the use of randomly generated locations on a given region of the Earth. A set of geo locations that is uniform in a given geo projection may not be uniform in a map with a different geo projection. This example shows the relevance of appropriately choosing the geo projection.

Generate 1000 random geo positions uniform in area.

They will look uniform in equal-area projections.

The same locations will not look uniform in non-equal-area projections.