ON EUCLIDEAN SETS HAVING ONLY TWO DISTANCES BETWEEN POINTS.
Abstract
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1966
- Accession Number
- AD0630751
Entities
People
- Isaac Jacob Schoenberg
- S. J. Einhorn