Hexafoil
A hexafoil is a traditional element of Gothic architecture,[1] created by overlapping six circular arcs to form a flower-like image.[2][3]
One common form of the hexafoil has a ring of six tangent circles circumscribed by a larger circle. It may be constructed by compass and straightedge, by drawing six circles at the centers of a regular hexagon, with diameter equal to the side of the hexagon.[4] The inner circles of the hexafoil have radius 1/3 that of the outer circle containing them, from which it is possible to derive the area and perimeter of the figure as a mathematical exercise.[5]
References
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