How to draw a hexagon

Pictures of the G2(2) hexagon and its dual are presented. A way to obtain these pictures is discussed. 1. Introduction This paper presents pictures of the two classical generalised hexagons over the eld with two elements. Information on these generalised hexagons is employed so that the pictures make some properties of these hexagons obvious. Familiarity with the theory of generalised polygons is not assumed. Perhaps this paper will convince the uninitiated reader that even new and seemingly abstract geometrical structures sometimes have nice visual presentations. Generalised polygons were introduced by Tits in 7]. They serve, among other things, as a geometric realisation of certain groups. Generalised triangles are essentially projective planes, generalised quadrangles are also known as polar spaces