{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T16:19:45Z","timestamp":1759335585083},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1989,1,1]],"date-time":"1989-01-01T00:00:00Z","timestamp":599616000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[1989,1]]},"DOI":"10.1007\/bf02187715","type":"journal-article","created":{"date-parts":[[2005,9,20]],"date-time":"2005-09-20T14:57:34Z","timestamp":1127228254000},"page":"55-73","source":"Crossref","is-referenced-by-count":13,"title":["Incidence-polytopes with toroidal cells"],"prefix":"10.1007","volume":"4","author":[{"given":"Asia Ivi\u0107","family":"Weiss","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[1989,1,1]]},"reference":[{"key":"BF02187715_CR1","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1007\/BF01199425","volume":"38","author":"L. Bianchi","year":"1891","unstructured":"L. Bianchi, Geometrische Darstellung der Gruppen linearer Substitutionen mit ganzen complexen Coefficienten nebst Anwendungen auf die Zahlentheorie,Math. Ann. 38 (1891), 313\u2013333.","journal-title":"Math. Ann."},{"key":"BF02187715_CR2","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/0012-365X(84)90032-3","volume":"50","author":"C. J. Colbourn","year":"1984","unstructured":"C. J. Colbourn and A. Ivi\u0107 Weiss, A census of regular 3-polystroma arising from honeycombs,Discrete Math. 50 (1984), 29\u201336.","journal-title":"Discrete Math."},{"key":"BF02187715_CR3","doi-asserted-by":"crossref","first-page":"522","DOI":"10.2307\/2303744","volume":"45","author":"H. S. M. Coxeter","year":"1938","unstructured":"H. S. M. Coxeter, An easy method for constructing polyhedral group-pictures,Amer. Math. Monthly 45 (1938), 522\u2013525.","journal-title":"Amer. Math. Monthly"},{"key":"BF02187715_CR4","first-page":"73","volume":"45","author":"H. S. M. Coxeter","year":"1939","unstructured":"H. S. M. Coxeter, The abstract groupsG m,n,p ,Trans. Amer. Math. Soc. 45 (1939), 73\u2013150.","journal-title":"Trans. Amer. Math. Soc."},{"key":"BF02187715_CR5","volume-title":"Twelve Geometric Essays","author":"H. S. M. Coxeter","year":"1968","unstructured":"H. S. M. Coxeter,Twelve Geometric Essays, Southern Illinois University Press, Carbondale, IL, 1968."},{"key":"BF02187715_CR6","volume-title":"Twisted Honeycombs, Regional Conference Series in Mathematics, No. 4","author":"H. S. M. Coxeter","year":"1970","unstructured":"H. S. M. Coxeter,Twisted Honeycombs, Regional Conference Series in Mathematics, No. 4, American Mathematical Society, Providence, RI, 1970."},{"key":"BF02187715_CR7","volume-title":"Regular Polytopes","author":"H. S. M. Coxeter","year":"1973","unstructured":"H. S. M. Coxeter,Regular Polytopes, 3rd edn., Dover, New York, 1973.","edition":"3rd edn."},{"key":"BF02187715_CR8","volume-title":"Regular Complex Polytopes","author":"H. S. M. Coxeter","year":"1974","unstructured":"H. S. M. Coxeter,Regular Complex Polytopes, Cambridge University Press, London, 1974."},{"key":"BF02187715_CR9","first-page":"87","volume":"13","author":"H. S. M. Coxeter","year":"1982","unstructured":"H. S. M. Coxeter, Ten toroids and fifty-seven hemidodecahedra,Geom. Dedicata 13 (1982), 87\u201399.","journal-title":"Geom. Dedicata"},{"key":"BF02187715_CR10","first-page":"169","volume":"17","author":"H. S. M. Coxeter","year":"1984","unstructured":"H. S. M. Coxeter and A. Ivi\u0107 Weiss, Twisted honeycombs {3, 5, 3}, and their groups,Geom. Dedicata 17 (1984), 169\u2013179.","journal-title":"Geom. Dedicata"},{"key":"BF02187715_CR11","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-21943-0","volume-title":"Generators and Relations for Discrete Groups","author":"H. S. M. Coxeter","year":"1980","unstructured":"H. S. M. Coxeter and W. O. J. Moser,Generators and Relations for Discrete Groups, 4th edn., Springer-Verlag, Berlin, 1980.","edition":"4th edn."},{"key":"BF02187715_CR12","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1016\/0095-8956(77)90005-3","volume":"22","author":"H. S. M. Coxeter","year":"1977","unstructured":"H. S. M. Coxeter and G. C. Shephard, Regular 3-complexes with toroidal cells,J. Combin. Theory Ser. B 22 (1977), 131\u2013138.","journal-title":"J. Combin. Theory Ser. B"},{"key":"BF02187715_CR13","volume-title":"Convexity and Graph Theory","author":"L. Danzer","year":"1983","unstructured":"L. Danzer, Regular incidence-complexes and dimensionally unbounded sequences of such, I, inConvexity and Graph Theory (M. Rosenfeld and J. Zaks, eds.), North Holland, Amsterdam, 1983."},{"key":"BF02187715_CR14","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1007\/BF00148235","volume":"13","author":"L. Danzer","year":"1982","unstructured":"L. Danzer and E. Schulte, Regul\u00e4re Incidenzkomplexe I,Geom. Dedicata 13 (1982), 295\u2013308.","journal-title":"Geom. Dedicata"},{"key":"BF02187715_CR15","volume-title":"Convex Polytopes","author":"B. Gr\u00fcnbaum","year":"1967","unstructured":"B. Gr\u00fcnbaum,Convex Polytopes, Wiley, London, 1967."},{"key":"BF02187715_CR16","unstructured":"B. Gr\u00fcnbaum, Regularity of graphs, complexes and designs, inProbl\u00e8mes Combinatoires et Th\u00e9orie des Graphes, 191\u2013197, Coll. Int. C.N.R.S. No. 260, C.N.R.S., Orsay, 1977."},{"key":"BF02187715_CR17","volume-title":"Introduction to Number Theory","author":"L. K. Hua","year":"1982","unstructured":"L. K. Hua,Introduction to Number Theory, Springer-Verlag, Berlin, 1982."},{"key":"BF02187715_CR18","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1007\/BF00164396","volume":"20","author":"A. Ivi\u0107 Weiss","year":"1986","unstructured":"A. Ivi\u0107 Weiss, Incidence-polytopes of type {6, 3, 3},Geom. Dedicata 20 (1986), 147\u2013155.","journal-title":"Geom. Dedicata"},{"key":"BF02187715_CR19","unstructured":"H. Liebmann,Nichteuklidische Geometrie, Leipzig, 1905."},{"key":"BF02187715_CR20","volume-title":"Noneuclidean Tesselations and Their Groups","author":"W. Magnus","year":"1974","unstructured":"W. Magnus,Noneuclidean Tesselations and Their Groups, Academic Press, New York, 1974."},{"key":"BF02187715_CR21","doi-asserted-by":"crossref","first-page":"142","DOI":"10.1112\/S0025579300003739","volume":"14","author":"P. McMullen","year":"1967","unstructured":"P. McMullen, Combinatorially regular polytopes,Mathematika 14 (1967), 142\u2013150.","journal-title":"Mathematika"},{"key":"BF02187715_CR22","first-page":"33","volume":"14","author":"E. Schulte","year":"1983","unstructured":"E. Schulte, Regul\u00e4re Incidenzkomplexe II,Geom. Dedicata 14 (1983), 33\u201356.","journal-title":"Geom. Dedicata"},{"key":"BF02187715_CR23","first-page":"57","volume":"14","author":"E. Schulte","year":"1983","unstructured":"E. Schulte, Regul\u00e4re Incidenzkomplexe III,Geom. Dedicata 14 (1983), 57\u201379.","journal-title":"Geom. Dedicata"},{"key":"BF02187715_CR24","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1016\/0097-3165(85)90093-7","volume":"40","author":"E. Schulte","year":"1985","unstructured":"E. Schulte, Regular incidence-polytopes with euclidean or toroidal faces and vertex-figures,J. Combin. Theory Ser. A 40 (1985), 305\u2013330.","journal-title":"J. Combin. Theory Ser. A"}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02187715.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02187715\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02187715","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,14]],"date-time":"2019-05-14T13:22:33Z","timestamp":1557840153000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02187715"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1989,1]]},"references-count":24,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1989,1]]}},"alternative-id":["BF02187715"],"URL":"https:\/\/doi.org\/10.1007\/bf02187715","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[1989,1]]}}}