  We survey - by means of 20 examples - the concept of varifold, as generalised
submanifold, with emphasis on regularity of integral varifolds with mean
curvature, while keeping prerequisites to a minimum. Integral varifolds are the
natural language for studying the variational theory of the area integrand if
one considers, for instance, existence or regularity of stationary (or, stable)
surfaces of dimension at least three, or the limiting behaviour of sequences of
smooth submanifolds under area and mean curvature bounds.
