A general theory for dense near polygons with a nice chain of subpolygons (Q881810)

In [\textit{B. De Bruyn} and \textit{P. Vandecasteele}, J. Comb. Theory, Ser. A 108, No. 2, 297--311 (2004; Zbl 1061.51002)], the authors determined all dense near polygons with three points on each line having a nice chain of subpolygons. Generalizing the ideas of the article mentioned above, the author gives a method which can be used for classifying general dense near polygons with a nice chain of subpolygons. This method is used to determine all dense near polygons with a nice chain of subpolygons if every hex is classical or glued. The author applies the latter result to determine all dense near octagons of order \((3, t)\) with a nice chain of subpolygons.