Examples of geometric constructions that can be constructed with only a compass and a carpenter's square. Figure 1 (left) shows the construction based on a square and its turned down diagonal, resulting in a rectangle of which the sides relate to each other in a 1:Ö2 ratio (1:1.41...). We shall call it the "root-2 rectangle". Figure 2 (middle) shows the construction based on a square and the corresponding golden section rectangle, defining a ratio of 1:(1+Ö5)/2 or (1:1.618...). We shall refer to it as the "golden section rectangle" . Figure 3 (right) is a more complex construction based on a circle, its inscribed square and equilateral triangle. It can be considered as a graphical method of approximatively cutting off one seventh part of the side of a square. We call this the "quatrain scheme".
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