Lemoine hexagon Lemoine hexagon In geometry, the Lemoine hexagon is a cyclic hexagon 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. There are two definitions of the hexagon that differ based on the order in which the vertices are connected. The Lemoine hexagon can be drawn defined in two ways, first as a simple hexagon with vertices at the intersections as defined before. The second is a self-intersecting hexagon with the lines going through the symmedian point as three of the
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