title: 2-Periodic self-dual tilings.
abstract: 2-Periodic self-dual tilings are important in fields ranging from crystal chemistry to mathematical physics. They have been systematically enumerated using combinatorial tiling theory, and 1, 5 and 62 uninodal, binodal and trinodal self-dual tilings have been found. This paper illustrates all uninodal and binodal self-dual tilings and selected trinodal self-dual tilings. Most of these structures are described for the first time.
authors.affiliation: Department of Applied Mathematics, Research School of Physics and Engineering, The Australian National University, Canberra, ACT 2601, Australia.
authors.forename: Olaf
authors.initials: O
authors.lastname: Delgado-Friedrichs
authors.affiliation: School of Molecular Sciences, Arizona State University, Tempe, Arizona AZ 85287, USA.
authors.forename: Michael
authors.initials: M
authors.lastname: O'Keeffe
keywords: nets; self-dual tilings