To draw a square in the position of Sketch C, use your test square, and draw the diagonals first, dividing them into inch spaces. Connect the ends of the diagonals to get a square. In the plan for the border design in Sketch C, connect the outer points on the diagonals to form the space for a border decoration.
Draw two squares, one on its diameters, and one on its diagonals. Show by divisions made in each, some plan for a design.
How an Oblong Space May be Divided.
You can draw an oblong with your test square in the same way that you drew a square, measuring the sides to get the length you wish. In Sketch A the semi-diameters are bisected and the points connected, forming a diamond-shaped space, something like a square on its diagonals. In making the unit used in the upper half of this space, the lines of the triangle are changed very slightly, but this change makes an interesting decoration. In Sketch B the sides are quadrisected, and the space is divided by connecting some of the opposite points, making an oblong on its diameters for the middle space. In the upper half of this space a simple shape, very like a square, is used. It can be reversed, as can the triangular shape in Sketch A, to fill the lower half of the space.
Sketch C shows a plan for dividing the oblong into many small squares. In each of these, or in every other one, a simple unit could be placed, to make an "all-over" pattern.
Draw an oblong, and by dividing its sides, make a plan for a decorative design. Show how a decoration can be made by slightly changing the lines of an enclosing shape.
