I kinda wish my social studies teachers had done something like this to really drive home just how much map projections distort things at the edges.
Each one of the pink lines on this map is the same "length”: 1570.8 km.
At the equator it spans 30º of longitude.
At 60ºN/S, it spans 60º of longitude.
@valthonis Our teacher pulled a good one to illustrate this for us. We were given sheets of paper that showed a world map with symmetrical cut-outs and compared it to a typical flat map. The distortions were wild. She had us cut out the first map and showed how we could turn it into a globe with some glue. It was a real eye-opener for me.
Tried to Google it but can't recall the name of the style of map.