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math.MG2003
Which Point Configurations are Determined by the Distribution of their Pairwise Distances?
Mireille Boutin, Gregor Kemper
In a previous paper we showed that, for any , most sets of points in $\RR^m$ are determined (up to rotations, reflections, translations and relabeling of the points)…
math.AC2003★ 2 cited
On reconstructing n-point configurations from the distribution of distances or areas
Mireille Boutin, Gregor Kemper
One way to characterize configurations of points up to congruence is by considering the distribution of all mutual distances between points. This paper deals with the question if p…