Dense near octagons with four points on each line, II
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Bart De Bruyn
Abstract
This is the second paper in a series of three dealing with the classification of the dense near octagons of order (3, t). In [B. De Bruyn, Dense near octagons with four points on every line, I. Ann. Combin., to appear.], we determined all dense near octagons of order (3, t) with a big hex. In the present paper, we will obtain a partial classification of the valuations of the dense near hexagons of order (3, t). We shall use this classification to obtain some classification results regarding dense near polygons of order (3, t) containing exceptional hexes. The classification of the valuations will be used in [B. De Bruyn, Dense near octagons with four points on every line, III. Preprint.] to show that almost all dense near octagons of order (3, t) have a big hex.
© Walter de Gruyter
Articles in the same Issue
- The Poncelet grid
- On hyperbolic Coxeter n-polytopes with n + 2 facets
- Dense near octagons with four points on each line, II
- On the Hermitian curvature of symplectic manifolds
- Surjectivity of Gaussian maps for curves on Enriques surfaces
- Compact Tits quadrangles as Lie geometries of topological Laguerre spaces
- On the roots of the Steiner polynomial of a 3-dimensional convex body
- Circular surfaces
- Addendum to “Classification of generalized polarized manifolds by their nef values”
Articles in the same Issue
- The Poncelet grid
- On hyperbolic Coxeter n-polytopes with n + 2 facets
- Dense near octagons with four points on each line, II
- On the Hermitian curvature of symplectic manifolds
- Surjectivity of Gaussian maps for curves on Enriques surfaces
- Compact Tits quadrangles as Lie geometries of topological Laguerre spaces
- On the roots of the Steiner polynomial of a 3-dimensional convex body
- Circular surfaces
- Addendum to “Classification of generalized polarized manifolds by their nef values”
