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2‐Periodic self‐dual tilings
Author(s) -
Delgado-Friedrichs Olaf,
O'Keeffe Michael
Publication year - 2017
Publication title -
acta crystallographica section a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.742
H-Index - 83
ISSN - 2053-2733
DOI - 10.1107/s2053273316013917
Subject(s) - binodal , dual (grammatical number) , substitution tiling , combinatorics , crystallography , physics , mathematics , chemistry , phase (matter) , quantum mechanics , phase diagram , art , literature
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.