WHICH POINT CONFIGURATIONS ARE DETERMINED BY THE DISTRIBUTION OF THEIR PAIRWISE DISTANCES?
WHICH POINT CONFIGURATIONS ARE DETERMINED BY THE DISTRIBUTION OF THEIR PAIRWISE DISTANCES?
In a previous paper we showed that, for any n ≥ m + 2, most sets of n points in ℝ m are determined (up to rotations, reflections, translations and relabeling of the points) by the distribution of their pairwise distances. But there are some exceptional point configurations which are …