I'm going to postulate a bold and unintuitive hypothesis: the world has more southfacing coastline than northfacing coastline (in total distance). Do you agree or disagree? Discuss!
Let's define X-facing as "a point on the coast where the shortest path (along a great circle) to the X pole points out to sea".
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OK. I need to revue how projections works in convexe surface, but I believe that the difference brought by South pole is bigger than the delta brought by all the south-point facing triangles we have in our continents
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What if we placed many random (position, radius) circular land masses on the surface of the earth? Those in the northern hemisphere would have a greater proportion of their coast facing south than north (and vice versa). Then we just place more of them in the north.
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