Delgado-Friedrichs Olaf, O'Keeffe Michael
Department of Applied Mathematics, Research School of Physics and Engineering, The Australian National University, Canberra, ACT 2601, Australia.
School of Molecular Sciences, Arizona State University, Tempe, Arizona AZ 85287, USA.
Acta Crystallogr A Found Adv. 2017 Jan 1;73(Pt 1):14-18. doi: 10.1107/S2053273316013917.
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.