%0 Journal Article %T Coincidences of Hypercubic Lattices in 4 dimensions %A Peter Zeiner %J Mathematics %D 2006 %I arXiv %X We consider the CSLs of 4-dimensional hypercubic lattices. In particular, we derive the coincidence index $\Sigma$ and calculate the number of different CSLs as well as the number of inequivalent CSLs for a given $\Sigma$. The hypercubic face centered case is dealt with in detail and it is sketched how to derive the corresponding results for the primitive hypercubic lattice. %U http://arxiv.org/abs/math/0605526v1