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
Hexagon Sun released songs with the title "Turquoise Hexagon Sun" and "Orange Hexagon Sun"; the former has been featured on "Boc Maxima", "Hi Scores", and "Music Has the Right to Children", and the latter on the bootleg "Old Tunes, Vol. 2" tape. The existence of Hexagon Sun and oblique references to it in interviews, web sites and album packaging have contributed to what many people regard as the mythological aura surrounding Boards of Canada. Opinions on this subject differ greatly; certain fans of Boards of Canada and their record label Warp regard Hexagon Sun as a mysterious cult, while others believe that