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Teacher's Comment
The overlapping of circles creates the petal-like forms which appear to form quatrefoils. The centers of the circles align to form a system of overlapping square grids, which happen to correspond to the underlying square grid of the graph paper. The diameter of each circle, in this pattern, is the length of four squares. But even without the support of an underlying grid that is articulated, the same pattern could be achieved just using a compass as long as the circles are of uniform diameter.
Look carefully at the quatrefoils -- which groups of four petals form a quatrefoil? Can you allow your focus to shift centers and create different groups of quatrefoils? Islamic craftsmen often played with the inherent ambiguity that is offered by overlapping circles and underlying grids that compete with one another. In weaving carpets, weavers often introduced color changes to bring out inherent ambiguities in pattern-making.
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