Draw a scenegraph for the chair in figure 5.2. Construct the chair with the following basic geometric objects: box(x,y,z) which generates a box of width 2x, height 2y and depth 2z centred around the origin of the coordinate system, and cylinder(r,h) which creates a cylinder with radius r and height h also centred around the origin. Specify in each leaf of the tree the geometric object to be constructed or the corresponding transformation to be applied. The chair stands on the x/z-plane centred over the origin of the coordinate system with its rest in the back. The chair has the following measurements.

– Legs of height 1.0 with a squared profile with width 0.1

– A squared seat with width 0.8 and thickness 0.2

– A cylindrical backrest with radius 0.4 and thickness 0.2