caa a22 4500 445855509 CHVBK 20180317145426.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s00026-011-0080-y doi (NATIONALLICENCE)springer-10.1007/s00026-011-0080-y De Bruyn Bart Department of Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281 (S22), B-9000, Gent, Belgium aut Dense Near Octagons with Four Points on Each Line, III [Elektronische Daten] [Bart De Bruyn] This is the third paper dealing with the classification of the dense near octagons of order (3, t). Using the partial classification of the valuations of the possible hexes obtained in [12], we are able to show that almost all such near octagons admit a big hex. Combining this with the results in [11], where we classified the dense near octagons of order (3, t) with a big hex, we get an incomplete classification for the dense near octagons of order (3, t): There are 28 known examples and a few open cases. For each open case, we have a rather detailed description of the structure of the near octagons involved. Springer Basel AG, 2011 near polygon nationallicence near octagon nationallicence generalized quadrangle nationallicence valuation nationallicence Annals of Combinatorics SP Birkhäuser Verlag Basel 15/1(2011-03-01), 19-35 0218-0006 15:1<19 2011 15 26 https://doi.org/10.1007/s00026-011-0080-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00026-011-0080-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- De Bruyn Bart Department of Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281 (S22), B-9000, Gent, Belgium aut NATIONALLICENCE 773 0- Annals of Combinatorics SP Birkhäuser Verlag Basel 15/1(2011-03-01), 19-35 0218-0006 15:1<19 2011 15 26 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 379273055 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer