{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T09:14:17Z","timestamp":1758273257621},"publisher-location":"Berlin, Heidelberg","reference-count":20,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540304678"},{"type":"electronic","value":"9783540320890"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2005]]},"DOI":"10.1007\/11589440_17","type":"book-chapter","created":{"date-parts":[[2005,11,9]],"date-time":"2005-11-09T12:08:15Z","timestamp":1131538095000},"page":"161-173","source":"Crossref","is-referenced-by-count":20,"title":["Single-Vertex Origami and Spherical Expansive Motions"],"prefix":"10.1007","author":[{"given":"Ileana","family":"Streinu","sequence":"first","affiliation":[]},{"given":"Walter","family":"Whiteley","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"17_CR1","unstructured":"Bern, M., Hayes, B.: The complexity of flat origami. In: Proc. 7th ACM-SIAM Symp. on Discrete Algorithms (SODA), Atlanta, pp. 175\u2013183 (January 1996)"},{"issue":"3","key":"17_CR2","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1007\/s00454-001-0038-7","volume":"26","author":"T. Biedl","year":"2001","unstructured":"Biedl, T., Demaine, E., Demaine, M., Lazard, S., Lubiw, A., O\u2019Rourke, J., Overmars, M., Robbins, S., Streinu, I., Toussaint, G., Whitesides, S.: Locked and unlocked polygonal chains in three dimensions. Discrete & Computational Geometry\u00a026(3), 269\u2013281 (2001)","journal-title":"Discrete & Computational Geometry"},{"issue":"8","key":"17_CR3","doi-asserted-by":"publisher","first-page":"1027","DOI":"10.1142\/S0218216598000553","volume":"7","author":"J. Cantarella","year":"1998","unstructured":"Cantarella, J., Johnston, H.: Nontrivial embeddings of polygonal intervals and unknots in 3-space. J. Knot Theory Ramifications\u00a07(8), 1027\u20131039 (1998)","journal-title":"J. Knot Theory Ramifications"},{"issue":"5","key":"17_CR4","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1007\/s00454-003-0006-7","volume":"30","author":"R. Connelly","year":"2003","unstructured":"Connelly, R., Demaine, E., Rote, G.: Straightening polygonal arcs and convexifying polygonal cycles. Discrete & Computational Geometry\u00a030(5), 205\u2013239 (2003)","journal-title":"Discrete & Computational Geometry"},{"key":"17_CR5","first-page":"43","volume":"6","author":"H. Crapo","year":"1982","unstructured":"Crapo, H., Whiteley, W.: Statics of frameworks and motions of panel structures: a projective geometric introduction. Structural Topology\u00a06, 43\u201382 (1982)","journal-title":"Structural Topology"},{"key":"17_CR6","doi-asserted-by":"crossref","unstructured":"Demaine, E., Demaine, M.: Recent results in computational origami. In: Proc. 3rd Int. Meeting of Origami Science, Math, and Education (OSME 2001), Monterey, California, March 9-11, pp. 3\u201316 (2001)","DOI":"10.1201\/b15735-3"},{"key":"17_CR7","doi-asserted-by":"crossref","unstructured":"Demaine, E., Demaine, M., Mitchell, J.: Folding flat silhouettes and wrapping polyhedral packages: New results in computational origami. In: Proc. 15th ACM Symp. on Computational Geometry (SoCG 1999), Miami Beach, Florida, June 13-16, pp. 105\u2013114 (1999)","DOI":"10.1145\/304893.304933"},{"key":"17_CR8","series-title":"Graduate Studies in Mathematics","doi-asserted-by":"crossref","DOI":"10.1090\/gsm\/002","volume-title":"Combinatorial Rigidity","author":"J. Graver","year":"1993","unstructured":"Graver, J., Servatius, B., Servatius, H.: Combinatorial Rigidity. Graduate Studies in Mathematics, vol.\u00a02. American Mathematical Society, Providence (1993)"},{"issue":"10","key":"17_CR9","doi-asserted-by":"publisher","first-page":"1010","DOI":"10.1109\/TC.1976.1674542","volume":"25","author":"D. Huffman","year":"1976","unstructured":"Huffman, D.: Curvature and creases: a primer on paper. IEEE Transactions on Computers\u00a0C-25(10), 1010\u20131019 (1976)","journal-title":"IEEE Transactions on Computers"},{"key":"17_CR10","unstructured":"Hull, T.: Rigid origami (2003), http:\/\/www.merrimack.edu\/~thull\/rigid\/rigid.html"},{"issue":"1","key":"17_CR11","doi-asserted-by":"publisher","first-page":"1","DOI":"10.2977\/prims\/1195145531","volume":"33","author":"M. Kapovich","year":"1997","unstructured":"Kapovich, M., Millson, J.: Hodge theory and the art of paper-folding. Publications of RIMS, Kyoto\u00a033(1), 1\u201333 (1997)","journal-title":"Publications of RIMS, Kyoto"},{"issue":"3","key":"17_CR12","doi-asserted-by":"publisher","first-page":"307","DOI":"10.4153\/CMB-1999-037-x","volume":"42","author":"M. Kapovich","year":"1999","unstructured":"Kapovich, M., Millson, J.: On the moduli space of a spherical polygonal linkage. Canad. Math. Bull.\u00a042(3), 307\u2013320 (1999)","journal-title":"Canad. Math. Bull."},{"key":"17_CR13","doi-asserted-by":"crossref","unstructured":"Lang, R.: A computational algorithm for origami design. In: Proc. 12th ACM Symposium on Computational Geometry, pp. 98\u2013105 (1996)","DOI":"10.1145\/237218.237249"},{"key":"17_CR14","unstructured":"Miura, K.: A note on intrinsic geometry of origami. In: Huzita, H. (ed.) Proc. First International Meeting of Origami Science and Technology, pp. 239\u2013249 (1989)"},{"key":"17_CR15","first-page":"699","volume-title":"Discrete and Computational Geometry - The Goodman-Pollack Festschrift, Algorithms and Combinatorics","author":"G. Rote","year":"2003","unstructured":"Rote, G., Santos, F., Streinu, I.: Expansive motions and the polytope of pointed pseudo-triangulations. In: Pach, J., Aronov, B., Basu, S., Sharir, M. (eds.) Discrete and Computational Geometry - The Goodman-Pollack Festschrift, Algorithms and Combinatorics, pp. 699\u2013736. Springer, Heidelberg (2003)"},{"key":"17_CR16","unstructured":"Saliola, F., Whiteley, W.: Notes on the equivalence of first-order rigidity in various geometries. (2002) (Preprint)"},{"key":"17_CR17","doi-asserted-by":"crossref","unstructured":"Streinu, I.: A combinatorial approach to planar non-colliding robot arm motion planning. In: Proc. ACM-IEEE Symposium on Foundations of Computer Science (FOCS), pp. 443\u2013453 (2000)","DOI":"10.1109\/SFCS.2000.892132"},{"key":"17_CR18","first-page":"21","volume":"11","author":"T.S. Tay","year":"1985","unstructured":"Tay, T.S., Whiteley, W.: Generating isostatic graphs. Structural Topology\u00a011, 21\u201368 (1985)","journal-title":"Structural Topology"},{"key":"17_CR19","first-page":"53","volume":"8","author":"W. Whiteley","year":"1983","unstructured":"Whiteley, W.: Cones, infinity and one-story buildings. Structural Topology\u00a08, 53\u201370 (1983)","journal-title":"Structural Topology"},{"key":"17_CR20","first-page":"893","volume-title":"Handbook of Discrete and Computational Geometry","author":"W. Whiteley","year":"1997","unstructured":"Whiteley, W.: Rigidity and scene analysis. In: Goodman, J.E., O\u2019Rourke, J. (eds.) Handbook of Discrete and Computational Geometry, 1st edn., pp. 893\u2013916. CRC Press, Boca Raton (1997)","edition":"1"}],"container-title":["Lecture Notes in Computer Science","Discrete and Computational Geometry"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11589440_17.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,17]],"date-time":"2020-11-17T20:01:34Z","timestamp":1605643294000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11589440_17"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005]]},"ISBN":["9783540304678","9783540320890"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/11589440_17","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2005]]}}}