We have studied a non-symmetric and non-periodic grain boundary in gold. An
atomic model is presented and the atomic positions are found to be in agre
ement with the electron microscopy images. Using the diffraction pattern, w
e show that the structure is quasicrystalline and related to the irrational
number root 2. A complete hyperspace periodic description of the interface
is given. We use this theoretical view to predict that in the case of an i
nfinite interface of this type, two crystals should glide freely along the
incommensurate x-direction whereas they should be blocked along the commens
urate z-direction and be adhesive along the third y-direction perpendicular
to the boundary. A numerical test confirms this property.