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The word "map" can also be used to talk about a chart or drawing that shows relationships between ideas, people, events, or anything else you can think about. This is why web developers call a list of web pages on a web site a site map.
People who make maps are cartographers.
If a map is on a piece of paper or a computer screen, it has to be projected. This is because the Earth is round and paper and screens are flat. There are a lot of ways that use mathematics to make projections. The only kind of map of the Earth that is not projected is one drawn on a sphere. This is called a globe.