Multiple coincidences for dimensions $d\leq3$

M. Baake (1) , Peter Zeiner (2)

1 Mathematik
2 Universität Bielefeld = Bielefeld University

Ordinary coincidence site lattices (CSLs) are very well understood for a large class of lattices in dimensions $d\leq 4$, as well as its generalisation for various highly symmetric modules. Here we consider multiple coincidence site lattices, i.e. intersections of several ordinary CSLs, which appear in connection with triple and multiple junctions. We restrict our considerations to the most prominent lattices in dimensions $d\leq3$ and present an outlook for further lattices and modules.

Mots clés: Physical Sciences

M. Baake, Peter Zeiner. Multiple coincidences for dimensions $d\leq3$. Philosophical Magazine, 2007, 87 (18-21), pp.2869-2876. ⟨10.1080/14786430701264186⟩. ⟨hal-00513823⟩