I am in high-school and we have an assignment to be submitted. It's basically choosing a topic that interests you and explore that in a depth way. I am interested in map making and the mathematics around it. Do any of you have any suggestions/leads for me to go about my assignment because I am totally clueless. All the help is much appreciated. Thanks in advance!
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Using wrong tags is not well accepted here. Besides, you should now that the displine that deals with making maps is Cartography. I've edited your tags accordingly. – José Carlos Santos Aug 18 '17 at 13:44
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The references in the Wikipedia article on map projections are a very good place to start. In particular, the book by Snyder, An album of map projections is wonderful.
Mathematicians are particularly taken with the idea of conformal projections. You might take this as a mini-project: what are they, and why are they important.