Hello!
The type of map projection that uses a cone-shaped piece of paper to depict the Earth is the Conical projection.
To understand Conical Projection, you'll need to imagine a cone placed over the traditional globe like a hat. Now you imagine that the cone is cut and is extended over a table to form a map. There are some maps that use this kind of projection, which includes Albers Equal Area Conic, Equidistant Conic and Lambert Conformal Conic projections.
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