{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T04:15:22Z","timestamp":1774412122781,"version":"3.50.1"},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2019,8,14]],"date-time":"2019-08-14T00:00:00Z","timestamp":1565740800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,8,14]],"date-time":"2019-08-14T00:00:00Z","timestamp":1565740800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100000893","name":"Simons Foundation","doi-asserted-by":"publisher","award":["420718"],"award-info":[{"award-number":["420718"]}],"id":[{"id":"10.13039\/100000893","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2020,9]]},"DOI":"10.1007\/s00454-019-00118-6","type":"journal-article","created":{"date-parts":[[2019,8,14]],"date-time":"2019-08-14T19:02:51Z","timestamp":1565809371000},"page":"453-482","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["The Assembly Problem for Alternating Semiregular Polytopes"],"prefix":"10.1007","volume":"64","author":[{"given":"Barry","family":"Monson","sequence":"first","affiliation":[]},{"given":"Egon","family":"Schulte","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,8,14]]},"reference":[{"key":"118_CR1","doi-asserted-by":"publisher","first-page":"380","DOI":"10.1007\/BF01181449","volume":"46","author":"HSM Coxeter","year":"1940","unstructured":"Coxeter, H.S.M.: Regular and semi-regular polytopes. I. Math. Z. 46, 380\u2013407 (1940)","journal-title":"Math. Z."},{"key":"118_CR2","volume-title":"Regular Polytopes","author":"HSM Coxeter","year":"1973","unstructured":"Coxeter, H.S.M.: Regular Polytopes, 3rd edn. Dover, New York (1973)","edition":"3"},{"key":"118_CR3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-21946-1","volume-title":"Generators and Relations for Discrete Groups. Ergebnisse der Mathematik und ihrer Grenzgebiete","author":"HSM Coxeter","year":"1972","unstructured":"Coxeter, H.S.M., Moser, W.O.J.: Generators and Relations for Discrete Groups. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 14, 3rd edn. Springer, New York (1972)","edition":"3"},{"key":"118_CR4","unstructured":"Gr\u00fcnbaum, B.: Regularity of graphs, complexes and designs. In: Probl\u00e8mes Combinatoires et Th\u00e9orie des Graphes. Colloques Internationaux du Centre National de la Recherche Scientifique, vol.\u00a0260, pp.\u00a0191\u2013197. CNRS, Paris (1978)"},{"issue":"1\u20132","key":"118_CR5","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF01836414","volume":"16","author":"B Gr\u00fcnbaum","year":"1977","unstructured":"Gr\u00fcnbaum, B.: Regular polyhedra-old and new. Aequationes Math. 16(1\u20132), 1\u201320 (1977)","journal-title":"Aequationes Math."},{"issue":"2","key":"118_CR6","doi-asserted-by":"publisher","first-page":"322","DOI":"10.1016\/j.jalgebra.2005.01.057","volume":"290","author":"MI Hartley","year":"2005","unstructured":"Hartley, M.I.: Locally projective polytopes of type $$\\{4,3,\\ldots,3, p\\}$$. J. Algebra 290(2), 322\u2013336 (2005)","journal-title":"J. Algebra"},{"issue":"3","key":"118_CR7","doi-asserted-by":"publisher","first-page":"943","DOI":"10.1016\/j.ejc.2009.05.007","volume":"31","author":"I Hubard","year":"2010","unstructured":"Hubard, I.: Two-orbit polyhedra from groups. Eur. J. Comb. 31(3), 943\u2013960 (2010)","journal-title":"Eur. J. Comb."},{"key":"118_CR8","unstructured":"Hubard, I., Schulte, E.: Two-orbit polytopes (in preparation)"},{"key":"118_CR9","series-title":"Cambridge Studies in Advanced Mathematics","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511623646","volume-title":"Reflection Groups and Coxeter Groups","author":"JE Humphreys","year":"1990","unstructured":"Humphreys, J.E.: Reflection Groups and Coxeter Groups. Cambridge Studies in Advanced Mathematics, vol. 29. Cambridge University Press, Cambridge (1990)"},{"key":"118_CR10","series-title":"London Mathematical Society Lecture Note Series","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511629303","volume-title":"Topics in the Theory of Group Presentations","author":"DL Johnson","year":"1980","unstructured":"Johnson, D.L.: Topics in the Theory of Group Presentations. London Mathematical Society Lecture Note Series, vol. 42. Cambridge University Press, Cambridge (1980)"},{"key":"118_CR11","series-title":"NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1007\/978-94-011-0924-6_4","volume-title":"Polytopes: Abstract, Convex and Computational","author":"H Martini","year":"1994","unstructured":"Martini, H.: A hierarchical classification of Euclidean polytopes with regularity properties. In: Bisztriczky, T., et al. (eds.) Polytopes: Abstract, Convex and Computational. NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences, vol. 440, pp. 71\u201396. Kluwer, Dordrecht (1994)"},{"key":"118_CR12","series-title":"Encyclopedia of Mathematics and its Applications","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511546686","volume-title":"Abstract Regular Polytopes","author":"P McMullen","year":"2002","unstructured":"McMullen, P., Schulte, E.: Abstract Regular Polytopes. Encyclopedia of Mathematics and its Applications, vol. 92. Cambridge University Press, Cambridge (2002)"},{"key":"118_CR13","doi-asserted-by":"publisher","first-page":"279","DOI":"10.1007\/978-1-4939-0781-6_14","volume-title":"Rigidity and Symmetry. Fields Institute Communications","author":"M Mixer","year":"2014","unstructured":"Mixer, M., Schulte, E., Weiss, A.I.: Hereditary polytopes. In: Connelly, R., Ivi\u0107 Weisee, A., Whiteley, W. (eds.) Rigidity and Symmetry. Fields Institute Communications, vol. 70, pp. 279\u2013302. Springer, New York (2014)"},{"issue":"5","key":"118_CR14","doi-asserted-by":"publisher","first-page":"2651","DOI":"10.1090\/S0002-9947-2013-05954-5","volume":"366","author":"B Monson","year":"2014","unstructured":"Monson, B., Pellicer, D., Williams, G.: Mixing and monodromy of abstract polytopes. Trans. Am. Math. Soc. 366(5), 2651\u20132681 (2014)","journal-title":"Trans. Am. Math. Soc."},{"issue":"5","key":"118_CR15","doi-asserted-by":"publisher","first-page":"2767","DOI":"10.1016\/j.aim.2011.12.027","volume":"229","author":"B Monson","year":"2012","unstructured":"Monson, B., Schulte, E.: Semiregular polytopes and amalgamated C-groups. Adv. Math. 229(5), 2767\u20132791 (2012)","journal-title":"Adv. Math."},{"key":"118_CR16","unstructured":"Monson, B., Schulte, E.: The interlacing number for alternating semiregular polytopes (in preparation)"},{"key":"118_CR17","unstructured":"Monson, B., Schulte, E.: Universal alternating semiregular polytopes (in preparation)"},{"issue":"2","key":"118_CR18","doi-asserted-by":"publisher","first-page":"421","DOI":"10.3336\/gm.47.2.15","volume":"47(67)","author":"T Pisanski","year":"2012","unstructured":"Pisanski, T., Schulte, E., Ivi\u0107 Weiss, A.: On the size of equifacetted semi-regular polytopes. Glas. Mat. Ser. III 47(67)(2), 421\u2013430 (2012)","journal-title":"Glas. Mat. Ser. III"},{"issue":"4","key":"118_CR19","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1016\/S0195-6698(83)80035-3","volume":"4","author":"E Schulte","year":"1983","unstructured":"Schulte, E.: On arranging regular incidence-complexes as faces of higher-dimensional ones. Eur. J. Comb. 4(4), 375\u2013384 (1983)","journal-title":"Eur. J. Comb."},{"issue":"2","key":"118_CR20","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1112\/plms\/s3-56.2.303","volume":"56","author":"E Schulte","year":"1988","unstructured":"Schulte, E.: Amalgamation of regular incidence-polytopes. Proc. Lond. Math. Soc. 56(2), 303\u2013328 (1988)","journal-title":"Proc. Lond. Math. Soc."},{"key":"118_CR21","series-title":"DIMACS Series in Discrete Mathematics and Theoretical Computer Science","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1090\/dimacs\/004\/39","volume-title":"Applied Geometry and Discrete Mathematics","author":"E Schulte","year":"1991","unstructured":"Schulte, E., Ivi\u0107 Weiss, A.: Chiral polytopes. In: Gritzmann, P., Sturmfels, B. (eds.) Applied Geometry and Discrete Mathematics. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 4, pp. 493\u2013516. American Mathematical Society, Providence, RI (1991)"},{"key":"118_CR22","unstructured":"The GAP Group: GAP\u2014Groups, Algorithms, and Programming, Version 4.4 (2011). \nhttp:\/\/www.gap-system.org"}],"container-title":["Discrete &amp; Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-019-00118-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-019-00118-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-019-00118-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,8,12]],"date-time":"2020-08-12T23:30:36Z","timestamp":1597275036000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-019-00118-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,8,14]]},"references-count":22,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2020,9]]}},"alternative-id":["118"],"URL":"https:\/\/doi.org\/10.1007\/s00454-019-00118-6","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,8,14]]},"assertion":[{"value":"5 February 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 July 2019","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 July 2019","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 August 2019","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}