Abstract
This chapter discusses the simplest methods of constructing pleasing patterns. By using compasses and a ruler it is possible to construct the most varied figures. It is convenient to make use of a circumference subdivided into n equal parts. To save labour, it is possible, having first checked the construction carefully, to pierce the centre and the vertices of a regular polygon with a sharp needle and therefore, carry the marks through onto several clean sheets of paper. By drawing chords of equal length through the points of subdivision of the circumference, various regular star-like polygons can be obtained. If circles of various radii and centres are drawn at the vertices of regular polygons and at the points of intersection of circles, and if they are then joined to the different pairs of points by straight lines, an infinite variety of figures can be obtained, whose attractiveness is enhanced by successful colouring. In addition to a circle, other figures such as a rectangle, triangle, etc., can be used as a base.
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