2-Periodic self-dual tilings

Olaf Delgado-Friedrichs; Michael O'Keeffe

doi:10.1107/S2053273316013917

2-Periodic self-dual tilings

Olaf Delgado-Friedrichs, Michael O'Keeffe^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.All uninodal, binodal and trinodal 2-periodic self-dual tilings are enumerated and described.

Original language	English
Pages (from-to)	14-18
Number of pages	5
Journal	Acta Crystallographica Section A: Foundations and Advances
Volume	73
Issue number	1
DOIs	https://doi.org/10.1107/S2053273316013917
Publication status	Published - 1 Jan 2017

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N2 - 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.All uninodal, binodal and trinodal 2-periodic self-dual tilings are enumerated and described.

AB - 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.All uninodal, binodal and trinodal 2-periodic self-dual tilings are enumerated and described.

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2-Periodic self-dual tilings

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