{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,2]],"date-time":"2026-04-02T02:41:14Z","timestamp":1775097674262,"version":"3.50.1"},"reference-count":43,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2022,1,25]],"date-time":"2022-01-25T00:00:00Z","timestamp":1643068800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>There is increasing interest in two-dimensional and quasi-two-dimensional materials and metamaterials for applications in chemistry, physics and engineering. Some of these applications are driven by the possible auxetic properties of such materials. Auxetic frameworks expand along one direction when subjected to a perpendicular stretching force. An equiauxetic framework has a unique mechanism of expansion (an equiauxetic mode) where the symmetry forces a Poisson\u2019s ratio of \u22121. Hinged tilings offer opportunities for the design of auxetic and equiauxetic frameworks in 2D, and generic auxetic behaviour can often be detected using a symmetry extension of the scalar counting rule for mobility of periodic body-bar systems. Hinged frameworks based on Archimedean tilings of the plane are considered here. It is known that the regular hexagonal tiling, {63}, leads to an equiauxetic framework for both single-link and double-link connections between the tiles. For single-link connections, three Archimedean tilings considered as hinged body-bar frameworks are found here to be equiauxetic: these are {3.122}, {4.6.12}, and {4.82}. For double-link connections, three Archimedean tilings considered as hinged body-bar frameworks are found to be equiauxetic: these are {34.6}, {32.4.3.4}, and {3.6.3.6}.<\/jats:p>","DOI":"10.3390\/sym14020232","type":"journal-article","created":{"date-parts":[[2022,1,25]],"date-time":"2022-01-25T21:07:11Z","timestamp":1643144831000},"page":"232","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Equiauxetic Hinged Archimedean Tilings"],"prefix":"10.3390","volume":"14","author":[{"given":"Tibor","family":"Tarnai","sequence":"first","affiliation":[{"name":"Department of Structural Mechanics, Budapest University of Technology and Economics, Muegyetem rkp. 3, 1111 Budapest, Hungary"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2106-1104","authenticated-orcid":false,"given":"Patrick W.","family":"Fowler","sequence":"additional","affiliation":[{"name":"Department of Chemistry, University of Sheffield, Sheffield S3 7HF, UK"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0152-6579","authenticated-orcid":false,"given":"Simon D.","family":"Guest","sequence":"additional","affiliation":[{"name":"Department of Engineering, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8374-8035","authenticated-orcid":false,"given":"Fl\u00f3ri\u00e1n","family":"Kov\u00e1cs","sequence":"additional","affiliation":[{"name":"Department of Structural Mechanics, Budapest University of Technology and Economics, Muegyetem rkp. 3, 1111 Budapest, Hungary"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"023001","DOI":"10.1088\/1361-665X\/aaa61c","article-title":"Auxetic metamaterials and structures: A review","volume":"27","author":"Ren","year":"2018","journal-title":"Smart Mater. 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