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
The Hexagon The Hexagon The Hexagon is a multi-purpose theatre and arts venue in Reading, Berkshire, England. Built in 1977 in the shape of an elongated hexagon, the theatre is operated by Reading Borough Council under the name "Reading Arts and Venues" along with South Street Arts Centre and Reading's concert hall. The theatre was built in 1977 by Robert Matthew Johnson Marshall (RMJM), who also built the adjacent Civic Centre. The original design featured a proscenium but no fly tower. Upon opening, the venue was comparable to Derby's Assembly Rooms—which also opened in 1977—but the Hexagon was described as architecturally and