%0 Journal Article %T Ten colours in quasiperiodic and regular hyperbolic tilings %A Reinhard L¨¹ck %A Dirk Frettl£¿h %J Mathematics %D 2008 %I arXiv %X Colour symmetries with ten colours are presented for different tilings. In many cases, the existence of these colourings were predicted by group theoretical methods. Only in a few cases explicit constructions were known, sometimes using combination of two-colour and five-colour symmetries. Here we present explicit constructions of several of the predicted colourings for the first time, and discuss them in contrast to already known colourings with ten colours. %U http://arxiv.org/abs/0810.5299v1