EPJ Web Conf.
Volume 255, 2021EOS Annual Meeting (EOSAM 2021)
|Number of page(s)||4|
|Section||Topical Meeting (TOM) 11- Waves in Complex Photonic Media|
|Published online||18 November 2021|
Highly symmetric aperiodic structures -INVITED
School of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes MK7 6AA, United Kingdom
* e-mail: email@example.com
Published online: 18 November 2021
The symmetries of periodic structures are severely constrained by the crystallographic restriction. In particular, in two and three spatial dimensions, only rotational axes of order 1, 2, 3, 4 or 6 are possible. Aperiodic tilings can provide perfectly ordered structures with arbitrary symmetry properties. Random tilings can retain part of the aperiodic order as well the rotational symmetry. They offer a more flexible approach to obtain homogeneous structures with high rotational symmetry, and might be of particular interest for applications. Some key examples and their diffraction are discussed.
© The Authors, published by EDP Sciences, 2021
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