{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T04:48:39Z","timestamp":1725857319063},"publisher-location":"Cham","reference-count":22,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319413112"},{"type":"electronic","value":"9783319413129"}],"license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016]]},"DOI":"10.1007\/978-3-319-41312-9_13","type":"book-chapter","created":{"date-parts":[[2016,6,13]],"date-time":"2016-06-13T21:16:35Z","timestamp":1465852595000},"page":"155-167","source":"Crossref","is-referenced-by-count":0,"title":["Traversal Languages Capturing Isomorphism Classes of Sierpi\u0144ski Gaskets"],"prefix":"10.1007","author":[{"given":"Nata\u0161a","family":"Jonoska","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mil\u00e9","family":"Kraj\u010devski","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gregory","family":"McColm","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,6,15]]},"reference":[{"issue":"3","key":"13_CR1","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1017\/S0143385798100457","volume":"18","author":"JE Anderson","year":"1998","unstructured":"Anderson, J.E., Putnam, I.F.: Topological invariants for substitution tilings and their associated $$C^*$$ -algebras Erg. Th. Dyn. Syst. 18(3), 509\u2013537 (1998)","journal-title":"Th. Dyn. Syst."},{"issue":"5754","key":"13_CR2","doi-asserted-by":"crossref","first-page":"166","DOI":"10.1126\/science.1120367","volume":"310","author":"RP Goodman","year":"2005","unstructured":"Goodman, R.P., et al.: Rapid chiral assembly of rigid DNA building blocks for molecular nanofabrication. Science 310(5754), 166\u20131665 (2005)","journal-title":"Science"},{"key":"13_CR3","doi-asserted-by":"crossref","first-page":"181","DOI":"10.2307\/120988","volume":"147","author":"C Goodman-Strauss","year":"1998","unstructured":"Goodman-Strauss, C.: Matching rules and substitution tilings. Ann. Math. 147, 181\u2013223 (1998)","journal-title":"Ann. Math."},{"key":"13_CR4","series-title":"NATO ASI Series: Series E: Applied Sciences","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1007\/978-94-015-9157-7_28","volume-title":"Foams and Emulsions","author":"C Goodman-Strauss","year":"1999","unstructured":"Goodman-Strauss, C.: Aperiodic hierarchical tilings. In: Sadoc, J.F., Rivier, N. (eds.) Foams and Emulsions. NATO ASI Series: Series E: Applied Sciences, vol. 354, pp. 481\u2013496. Springer, Dordrecht (1999)"},{"key":"13_CR5","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1090\/pspum\/077\/2459869","volume":"77","author":"R Grigorchuk","year":"2008","unstructured":"Grigorchuk, R., \u0160uni\u0107, Z.: Asymptotic aspects of Schreier graphs and Hanoi Towers groups. Proc. Symposia in Pure Mathematics 77, 183\u2013198 (2008)","journal-title":"Proc. Symposia in Pure Mathematics"},{"key":"13_CR6","volume-title":"Tilings and Patterns","author":"B Gr\u00fcnbaum","year":"1987","unstructured":"Gr\u00fcnbaum, B., Shephard, G.C.: Tilings and Patterns. Freeman, New York (1987)"},{"key":"13_CR7","doi-asserted-by":"crossref","first-page":"342","DOI":"10.1126\/science.1202998","volume":"332","author":"D Han","year":"2011","unstructured":"Han, D., Pal, S., Nangreave, J., Deng, Z., Liu, Y., Yan, H.: DNA origami with complex curvatures in 3-dimensional space. Science 332, 342\u2013346 (2011)","journal-title":"Science"},{"issue":"1","key":"13_CR8","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1023\/A:1022444205860","volume":"47","author":"S Klav\u017ear","year":"1997","unstructured":"Klav\u017ear, S., Milutinovi\u0107, U.: Graphs $$S(n, k)$$ and a variant of the tower of Hanoi problem. Czechoslovak Math. J. 47(1), 95\u2013104 (1997)","journal-title":"Czechoslovak Math. J."},{"key":"13_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-0348-0237-6","volume-title":"The Tower of Hanoi \u2014 Myths and Maths","author":"AM Hinz","year":"2013","unstructured":"Hinz, A.M., Klav\u017ear, S., Milutinovi\u0107, U., Petr, C.: The Tower of Hanoi \u2014 Myths and Maths. Springer, Basel (2013)"},{"key":"13_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"352","DOI":"10.1007\/978-3-662-44522-8_30","volume-title":"Mathematical Foundations of Computer Science 2014","author":"T Jolivet","year":"2014","unstructured":"Jolivet, T., Kari, J.: Undecidable properties of self-affine sets and multi-tape automata. In: Csuhaj-Varj\u00fa, E., Dietzfelbinger, M., \u00c9sik, Z. (eds.) MFCS 2014, Part I. LNCS, vol. 8634, pp. 352\u2013364. Springer, Heidelberg (2014)"},{"issue":"2","key":"13_CR11","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1142\/S0129054114500099","volume":"25","author":"N Jonoska","year":"2014","unstructured":"Jonoska, N., Karpenko, D.: Active tile self-assembly, part 2: recursion and self-similarity. Int. J. Found. Comp. Sci. 25(2), 165\u2013194 (2014)","journal-title":"Int. J. Found. Comp. Sci."},{"key":"13_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"216","DOI":"10.1007\/978-3-319-08123-6_18","volume-title":"Unconventional Computation and Natural Computation","author":"N Jonoska","year":"2014","unstructured":"Jonoska, N., Krajcevski, M., McColm, G.: Languages associated with crystallographic symmetry. In: Ibarra, O.H., Kari, L., Kopecki, S. (eds.) UCNC 2014. LNCS, vol. 8553, pp. 216\u2013228. Springer, Heidelberg (2014)"},{"issue":"1","key":"13_CR13","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1007\/s11047-015-9527-0","volume":"15","author":"N Jonoska","year":"2016","unstructured":"Jonoska, N., Krajcevski, M., McColm, G.: Counter machines and crystallographic structures. Nat. Comput. 15(1), 97\u2013113 (2016)","journal-title":"Nat. Comput."},{"issue":"8","key":"13_CR14","doi-asserted-by":"crossref","first-page":"2324","DOI":"10.1021\/ja031754r","volume":"126","author":"D Liu","year":"2004","unstructured":"Liu, D., Wang, M., Deng, Z., Walulu, R., Mao, C.: Tensegrity: construction of rigid DNA triangles with flexible four-arm DNA junctions. J. Am. Chem. Soc. 126(8), 2324\u20132325 (2004)","journal-title":"J. Am. Chem. Soc."},{"issue":"20","key":"13_CR15","doi-asserted-by":"crossref","first-page":"5939","DOI":"10.1002\/anie.201500252","volume":"54","author":"JE Padilla","year":"2015","unstructured":"Padilla, J.E., Sha, R., Chen, J., Jonoska, N., Seeman, N.C.: A signal-passing DNA-strand-exchange mechanism for active self-assembly of DNA nanostructures. Angew. Chem. Int. Ed. Engl. 54(20), 5939\u20135942 (2015)","journal-title":"Angew. Chem. Int. Ed. Engl."},{"issue":"7082","key":"13_CR16","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1038\/nature04586","volume":"440","author":"PWK Rothemund","year":"2006","unstructured":"Rothemund, P.W.K.: Folding DNA to create nanoscale shapes and patterns. Nature 440(7082), 297\u2013302 (2006)","journal-title":"Nature"},{"key":"13_CR17","unstructured":"Sadun, L.: Personal communication (2016)"},{"issue":"7","key":"13_CR18","doi-asserted-by":"crossref","first-page":"1691","DOI":"10.1016\/j.ejc.2012.03.026","volume":"33","author":"Z \u0160uni\u0107","year":"2012","unstructured":"\u0160uni\u0107, Z.: Twin towers of Hanoi. Eur. J. Comb. 33(7), 1691\u20131707 (2012)","journal-title":"Eur. J. Comb."},{"key":"13_CR19","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/0167-739X(88)90007-6","volume":"4","author":"GD Vecchia","year":"1988","unstructured":"Vecchia, G.D., Sanges, C.: A recursively scalable network VLSI implementation. Future Gener. Comput. Syst. 4, 235\u2013243 (1988)","journal-title":"Future Gener. Comput. Syst."},{"key":"13_CR20","doi-asserted-by":"crossref","first-page":"779","DOI":"10.1038\/nnano.2015.162","volume":"10","author":"F Zhang","year":"2015","unstructured":"Zhang, F., Jiang, S., Wu, S., Li, Y., Mao, C., Liu, Y., Yan, H.: Complex wireframe DNA origami nanostructures with multi-arm junction vertices. Nature Nanotechnol. 10, 779\u2013784 (2015)","journal-title":"Nature Nanotechnol."},{"issue":"6165","key":"13_CR21","doi-asserted-by":"crossref","first-page":"1502","DOI":"10.1126\/science.1244989","volume":"342","author":"W Zhang","year":"2013","unstructured":"Zhang, W., Oganov, A.R., Goncharov, A.F., Zhu, Q., Boulfelfel, S.E., Lyakhov, A.O., Stavrou, E., Somayazulu, M., Prakapenka, V.B., Konpkov, Z.: Unexpected stable stoichiometries of sodium chlorides. Science 342(6165), 1502\u20131505 (2013)","journal-title":"Science"},{"issue":"7260","key":"13_CR22","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1038\/nature08274","volume":"461","author":"J Zheng","year":"2009","unstructured":"Zheng, J., Birktoft, J.J., Chen, Y., Wang, T., Sha, R., Constantinou, P.E., Ginell, S.L., Mao, C., Seeman, N.C.: From molecular to macroscopic via the rational design of a self-assembled 3D DNA crystal. Nature 461(7260), 74\u201377 (2009)","journal-title":"Nature"}],"container-title":["Lecture Notes in Computer Science","Unconventional Computation and Natural Computation"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-41312-9_13","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,24]],"date-time":"2017-06-24T12:18:47Z","timestamp":1498306727000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-41312-9_13"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"ISBN":["9783319413112","9783319413129"],"references-count":22,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-41312-9_13","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2016]]}}}