[postgis-users] Geography point to polygon st_distance for a polygon crossing the equator

[Paul Ramsey]

That's right, we don't have a way to differentiate between great-circle
edges and loxodromes on geography (or vice versa in geometry).

​You can approximate a "square"  by densifying your east-west lines in the
places you want vertices to go, but the inter-vertex edges will still be
great circles. You can do that by densifying in geometry land and then
casting back to geography.

P.
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