Curved Kite Fibonacci Ying & Yang

Curved Kites
89 x 89 x 3
FineArt Print on Hahnemühle German Etching 310 g/m2
Alu Panel 1mm, Solid Wood-PRM-Frame black
Edition # 5+1
Artwork-ID: GC-FCK-V-89x89-X/5


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”.

Foto: © 2024 Gauthier Cerf. All rights reserved. 

Curved Kite Fibonacci Ying & Yang

The picture Curved Kite Fibonacci Ying & Yang is created from two Curved Kite Fibonacci spirals (see the picture Curved Kite Fibonacci Spiral I ), which are rotated by 180º degrees and placed opposite each other. The two spirals have been offset so that the tips of the largest curved kites are diametrically opposite each other. As a result, the concave and convex curvatures of the spiral figures are opposite each other, similar to the well-known Ying & Yang figure that gave the picture its name. One spiral was colored black and the other white to further emphasize the Ying & Yang effect.

Picture: © 2024 Gauthier Cerf. All rights reserved.