Map Projections

Correction: The azimuthal equidistant projection is actually defined by θ = a and r = 90° - b. I got b mixed up with phi. Note: If the title changes, it’s because I’m testing out different video titles to see what works the best. In this video, I explain map projections: what they are, how they work, and the math behind them. This video connects 2 of my favorite subjects: math and geography. This is my entry in 3blue1brown’s summer of math exposition. If you want to do further research, this wikipedia page is very helpful: The images of each projection come from that page, and are made by Daniel R. Strebe. Chapters: 0:00 Intro 0:41 The Problem 3:37 Equirectangular Projection 7:15 Literal Projection 9:49 Mercator Projection 18:51 Sinusoidal Projection 21:24 Lambert Equal Area Projection 23:33 Azimuthal Equidistant Projection 24:30 Compromises 29:30 Perspectives 31:21 Conclusion