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Points and plane unit and distance
You likely mean the Erdős unit distance problem . There is no known full proof of Erdős’s conjecture; it remains open in the sense that the best known upper bound is still far above the conjectured bound [2][5].
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- You likely mean the Erdős unit distance problem .
- There is no known full proof of Erdős’s conjecture; it remains open in the sense that the best known upper bound is still far above the conjectured bound [2][5].
- The problem asks: among \(n\) points in the Euclidean plane, what is the maximum possible number of pairs exactly distance 1 apart?
- [2] Erdős conjectured that the true maximum is almost linear, roughly \(n^{1+o(1)}\), based on lattice examples giving many unit distances [2][5].
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You likely mean the Erdős unit distance problem. There is no known full proof of Erdős’s conjecture; it remains open in the sense that the best known upper bound is still far above the conjectured bound .
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The problem asks: among (n) points in the Euclidean plane, what is the maximum possible number of pairs exactly distance 1 apart?
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What is the short answer to "Points and plane unit and distance"?
You likely mean the Erdős unit distance problem .
What are the key points to validate first?
You likely mean the Erdős unit distance problem . There is no known full proof of Erdős’s conjecture; it remains open in the sense that the best known upper bound is still far above the conjectured bound [2][5].
What should I do next in practice?
The problem asks: among \(n\) points in the Euclidean plane, what is the maximum possible number of pairs exactly distance 1 apart?