# Quasiperiodic tiling of the hyperbolic plane?

Has anyone produced a quasiperiodic tiling of the hyperbolic plane?

Or is there a reason it cannot be done?

By quasiperiodic I mean that the structure is not strictly periodic (i.e. equal to itsef after translation) but that any arbitrary large neighbourhood of any point can be found identically at an infinity of other locations.

• What is a quasiperiodic (or periodic, for that matter) tiling of the hyperbolic plane? Consider the usual example; is it periodic or quasiperiodic? – Ivan Neretin Nov 1 '16 at 15:25
• I updated the question. The example you show is periodic. It is unchanged for some translations in the hyperbolic plane. – Florian F Nov 1 '16 at 17:38