Hexagon circle) with vertices given by the six intersections of the edges of a triangle and the three lines that are parallel to the edges that pass through its symmedian point. If the successive sides of a cyclic hexagon are "a", "b", "c", "d", "e", "f", then the three main diagonals intersect in a single point if and only if . If, for each side of a cyclic hexagon, the adjacent sides are extended to their intersection, forming a triangle exterior to the given side, then the segments connecting the circumcenters of opposite triangles are concurrent. If a hexagon has vertices
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