Curved Kite Fibonacci Flower

Concept

Curved Kites

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”.

The image Curved Kite Fibonacci Flower is created from a series of two curved kites of the same size, positioned opposite each other, whose tips meet. All pairs of curved kites in the series meet at the same point, but are each rotated clockwise by the golden angle 137.508º. Smaller pairs are a lighter green colour and appear above the larger pairs.

Many plants in nature do this in a similar way to minimise shading of their leaves and maximise sunlight.

Inside the forest of leaves formed from the curved kites in this way, a new leafy plant emerges from the background in its own objectivity, remotely resembling a cannabis leaf.

More images from the Curved Kite series:

More Fibonacci Flower images:

- Fibonacci Flower
- Fibonacci Flower II