There is N points on a plane. Is is feasible to reproduce there relative location having only list of distances. Assuming that translation, rotation and mirror are allowed in the result. The list contains only distances between every pair of points, but not which points these are.

For simple triangle like A=(0,0) B=(1,0) C=(1,1) the distance are: |AB| = 1 |AC| = sqrt(2) |BC| = 1

The list would be: 1, 1, sqrt(2).