Geometry.Net - Theorems_And_Conjectures:  Unsolved Problems

(1) Prove or disprove that there cannot be distinct colinear
arrangements of points with the same multi-set of point-to-point
distances.  (Reflections are not counted as distinct.)  Ref:  Distinct
Point Sets With Same Distances Variations and Comments on Problem 1
Relation to Golomb Rulers Generating Functions for Point Set Distances

SOLVED:  4 Apr 97.  Dan Hoey forwarded a couple of messages from
John Scholes and Torsten Sillke each giving an example of isospectral
sets in one dimension.