Hexagon has no degrees of freedom but can seen as directed edges. Hexagons of symmetry g2, i4, and r12, as parallelogons can tessellate the Euclidean plane by translation. Other hexagon shapes can tile the plane with different orientations. The 6 roots of the simple Lie group , represented by a Dynkin diagram , are in a regular hexagonal pattern. The two simple roots have a 120° angle between them. The 12 roots of the Exceptional Lie group G2, represented by a Dynkin diagram are also in a hexagonal pattern. The two simple roots of two lengths have a 150° angle between
Campaign Hexagon System Campaign Hexagon System Campaign Hexagon System is a supplement for fantasy role-playing games published by Judges Guild in 1977. "Campaign Hexagon System" is a GM's aid: a book of blank hexagon sheets overprinted with larger gray hexes so the GM can integrate wilderness maps of varying scales. It includes tables for generating wilderness terrain. "Campaign Hexagon System" is a booklet of which the main portion is devoted to over 60 blank campaign hex grids. A rectangular hexagonal tessellation of about 1000 small hexes appears on each page, and on this grid is superimposed a large hex representing 5 miles across