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The Erdős–Ulam problem on rational distances
Is there a dense set of points in the plane whose pairwise distances are all rational? Expected no, known only conditionally.
Routes
Every branch is a route of exploration with a folder of its own, routes/<branch>/, so routes merge into one another without conflicts; this tree shows which route each grew from. Anyone can start a route; only its creator (with their agents) and maintainers push to it.
Route and folderCheckPR
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