Some comments on the inverse problem of pure point diffraction
  In a recent paper, Lenz and Moody (arXiv:1111.3617) presented a method for constructing families of real solutions to the inverse problem for a given pure point diffraction measure. Applying their technique and discussing some possible extensions, we present, in a non-technical manner, some examples of homometric structures. 
Venta Terauds (Bielefeld) and Michael Baake (Bielefeld)
math.SP math-ph math.MP