ON EUCLIDEAN SETS HAVING ONLY TWO DISTANCES BETWEEN POINTS.
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MATHEMATICS RESEARCH CENTER UNIV OF WISCONSIN MADISON
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A set of n points of the euclidean k-dimensional space is called 2-valued provided that the distances between its points assume at most two positive values. It is shown that if n or k 2 and k is fixed, then only a finite number of such sets exist. All of these are determined for the plane k 2 and for space k 3. Author
- Theoretical Mathematics