A Note on Regular Near Polygons

A Higman-Haemers Inequality for Thick Regular Near Polygons

In this note we will generalize the Higman-Haemers inequalities for generalized polygons to thick regular near polygons.

The Regular Near Polygons of Order ( s , 2 )

In this note we classify the regular near polygons of order (s, 2).

On Q-polynomial regular near 2d-gons

We discuss thick regular near 2d-gons with a Q-polynomial collinearity graph. For d ≥ 4, we show that apart from Hamming near polygons and dual polar spaces there are no thick Q-polynomial regular near polygons. We also show that no regular near hexagons exist with parameters (s, t2, t) equal to (3, 1, 34), (8, 4, 740), (92, 64, 1314560), (95, 19, 1027064) or (105, 147, 2763012). Such regular n...

A note on affinely regular polygons

The affinely regular polygons in certain planar sets are characterized. It is also shown that the obtained results apply to cyclotomic model sets and, additionally, have consequences in the discrete tomography of these sets.

A note on approximations of rectilinear polygons