Dislocations in quasicrystals are defined as the intersections of disl
ocations in a high dimensional lattice with an irrational cut which fi
gures the physical space. This definition confers to them a number of
unusual geometrical properties which can be studied either by suitable
extensions of the Volterra process, or by topological approaches, whi
ch often offer complementary points of view and are presented in this
paper. Amongst these unusual properties, the production of stacking fa
ults under shear at low temperature, reshuffling processes on stacking
faults, and properties of non-commutativity which could have some inc
idences on the interplay between dislocations in deformation processes
are mentioned.