What are the major projecting sphere into flat surface

The major methods for projecting a sphere (like the Earth) onto a flat surface involve different geometric approaches. The three main categories of map projections are:

1. Cylindrical Projections: Imagine wrapping a cylinder around the Earth. Features are projected onto this cylinder, which is then unrolled into a flat map. The Mercator projection is a famous example, useful for navigation because it preserves direction but distorts areas, especially near the poles.

2. Conic Projections: These projections are made by placing a cone over the Earth and projecting the surface onto the cone. The cone is then cut and flattened. Albers equal-area conic projection is an example that preserves area but distorts shape and distance.

3. Azimuthal (or Planar) Projections: These are made by projecting the Earth's surface onto a flat plane that touches the sphere at a single point (the tangent point). Imagine holding a flashlight at the center of the Earth and shining it onto a wall touching the surface. Stereographic projection is an example that preserves angles but distorts area and distance.