  We consider sequential random packing of integral translate of cubes
$[0,N]^n$ into the torus $Z^n / 2NZ^n$. Two special cases are of special
interest:
  (i) The case $N=2$ which corresponds to a discrete case of tilings
(considered in \cite{cubetiling,book})
  (ii) The case $N=\infty$ corresponds to a case of continuous tilings
(considered in \cite{combincubepack,book})
  Both cases correspond to some special combinatorial structure and we describe
here new developments.
