eli5 if maps are inaccurate because we can’t project spheres on 2d planes. what happens if we actually decide to map the earth “by hand”?

Question

Like let’s say that we start on the cape of goodwill for example and follow the coast.

Represent each 1km with 1mm for example on our map (map size isn’t a problem just for the sake of the argument). Getting the directions of drawing off a compass exactly. And just walk around all the coasts of the world.

What type of map do we end up with in this hypothetical?

In: 5

Answer 1

Start at north pole. Walk 100km due south. Draw a 100mm line on your map. Turn 90 degrees left. Walk due east 100km. Draw a 100mm perpendicular to the first.
Turn 90 degrees left and walk due north again. You are now at north pole again, but the map says you are 100km from north pole.