Titel
Tilings with Nonflat Squares: A Characterization
Autor*in
Manuel Friedrich
Department of Mathematics, Friedrich-Alexander Universität Erlangen-Nürnberg
Abstract
Inspired by the modelization of 2D materials systems, we characterize arrangements of identical nonflat squares in 3D. We prove that the fine geometry of such arrangements is completely characterized in terms of patterns of mutual orientations of the squares and that these patterns are periodic and one-dimensional. In contrast to the flat case, the nonflatness of the tiles gives rise to nontrivial geometries, with configurations bending, wrinkling, or even rolling up in one direction.
Stichwort
Nonflat regular squareConfigurational energyGround stateCharacterization
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
https://phaidra.univie.ac.at/o:1630855
Erschienen in
Titel
Milan Journal of Mathematics
Band
90
ISSN
1424-9286
Erscheinungsdatum
2022
Seitenanfang
131
Seitenende
175
Verlag
Springer Science and Business Media LLC
Projektnummer
I 4354 – Austrian Science Fund (FWF)
Projektnummer
F 65 – Austrian Science Fund (FWF)
Projektnummer
W 1245 – Austrian Science Fund (FWF)
... show all
Erscheinungsdatum
2022
Zugänglichkeit
Rechteangabe
© 2022 The Author(s)

Herunterladen

Universität Wien | Universitätsring 1 | 1010 Wien | T +43-1-4277-0