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Mercator
a map projection that fairly accurately shows shape and direction, but distorts distance and size of land masses.
Azimuthal (polar)
a map which shows true compass directions; longitude lines are straight and latitude lines are circles; distorts shape and size more toward the outer edges.
Goode's Interrupted Equal Area
Area Projection; shows true size and shape of earth's landmasses
Fuller-Dymaxion
displays the entire world at once with minimal distortion. It looks like a bunch of triangles put together.
Robinson
a projection that maintains overall shapes and relative positions without extreme distortion.
Gall Peters
a projection that displays accurate axes, but shapes are distorted. They are hard to navigate when the shapes are not accurate