Squiral diffraction
  The Thue-Morse system is a paradigm of singular continuous diffraction in one dimension. Here, we consider a planar system, constructed by a bijective block substitution rule, which is locally equivalent to the squiral inflation rule. For balanced weights, its diffraction is purely singular continuous. The diffraction measure is a two-dimensional Riesz product that can be calculated explicitly. 
Uwe Grimm (Milton Keynes) and Michael Baake (Bielefeld)
cond-mat.dis-nn math-ph math.MP