New results on torus cube packings and tilings
  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. 
Mathieu Dutour Sikiri\'c and Yoshiaki Itoh
math.MG math.CO