Curved Kite Fibonacci Ying & Yang

The Curved Kites collection shows arrangements of a series of so-called curved kites, whose dimensions correspond to Fibonacci numbers. A curved kite is an interesting geometric figure that resembles a stingray or a curved kite.

The edge of a curved kite consists of three quarter circles. The two small quarter circles of the same size meet in the pointed tail of the kite. The large quarter circle connects the other ends of the small quarter circles and meets them at a 45° angle.

If the small quarter circles have a radius r, then the large quarter circle has a radius R = √2·r.

A curved kite has the amazing property that its area is exactly r², where r is the radius of the small quarter circles. Consequently, this curved kite has the area of the square in which one of its quarter circles is embedded (see figure below). The curved kite thus shows a kind of “squaring of the circles”.