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You make a good point. What is an equal-area, tessellated shape that could be used in its place?

I guess a triangle. Or one of these:

https://upload.wikimedia.org/wikipedia/commons/thumb/6/67/Sp...

https://upload.wikimedia.org/wikipedia/commons/thumb/9/9b/Sp...



https://en.wikipedia.org/wiki/Geodesic_polyhedron

For just shapes the above is a nice visual start.

However a striking feature of the linked article is how frequently there's a major city right near a cell edge.

A more useful list might be constructed by some process involving assigning a "city" an imprint size based on population, and a surrounding 'metro area' based on absorbing any weaker cities that overlap until the process either repeats or is matched by a neighboring city.

A starting point for results that are already similar to that: https://en.wikipedia.org/wiki/Metropolitan_area

The US specific list: https://en.wikipedia.org/wiki/List_of_metropolitan_statistic...


Yeah I was hoping there was a shape more interesting than a triangle (or a soccer ball)... Those rounded squares and rounded triangles were the best I could find.

I like that idea of building the regions bottom-up.




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