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
Boy with a Glass and a Lute hand a glass full of wine, at which he looks with a smile. His dark costume is trimmed with blue ; his cap hangs on the back of his head, to the left. With his left hand he holds up one end of a mandoline, the other end of which rests on a table. Signed on the right with the monogram ; panel, 36 inches by 30 inches. Exhibited at the Royal Academy Winter Exhibition, London, 1891, No. 72." Hals' positioning of a figure looking upwards was common to many of his genre paintings of the 1620s: This painting is