  In this paper we associate to any $LS$-sequence of partitions
${\rho_{L,S}^n}$ the corresponding $LS$-sequence of points ${\xi_{L,S}^n}$
obtained reordering the points of each partition with an explicit algorithm.
The procedure begins with the representation in base $L+S$ of natural numbers,
$[n]_{L+S}$, and ends with the $LS$-radical inverse function $\phi_{L,S}$,
introduced ad hoc, evaluated at an appropriate subsequence of natural numbers
depending on $L$ and $S$. This construction is deeply related to the geometric
representation of the points of ${\xi_{L,S}^n}$ by suitable affine functions
and reminds the van der Corput sequences in base $b$.
  Keywords: Uniform distribution, sequences of partitions, van der Corput
sequences, discrepancy.
