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Mercator projection
Direction and shape are true. Size is distorted. Best for navigation and location latitude and longitude.
Gall-peters
Size is true but shape is distorted.
Goode's Homolosine Projection
Alternative for Mercator. Distorts distance. Preserves size and shape.
Robinson projection
Everything is sorta distorted. Helpful for reference.
Polar projection
Used for navigations of airplanes. Distance and direction are maintained, but only nearest the top. Distortion around the outer edges