Fibonacci Butterfly Wings

Fibonacci Rectangles
89 x 89 x 3 cm
FineArt Print pigment ink on Fabriano Artistico 310 g/m2
Alu Panel 1mm / Solid Wood-PRM-Frame black
Edition # 5+1
Artwork-ID: GC-FRE-V-89x89-X/5


Fibonacci Rectangles

The Fibonacci Rectangles collection shows arrangements of Fibonacci rectangles whose height and width are two consecutive Fibonacci numbers (fn and fn+1). The length of a rectangle becomes the width of the following rectangle.

Fibonacci Butterfly Wings

In the work Fibonacci Butterfly Wings, the rectangles are used to draw in them virtual quarter ellipses, the semi-axes of which are the sides of the rectangle. These, in turn, serve to insert a cloudy coloring whose structure resembles a butterfly’s wing.


The smallest Fibonacci rectangle is a 1×1 square which serves as the origin of the image. Starting from the first rectangle, the following Fibonacci rectangles are oriented in the same way, but arranged in a clockwise spiral. This arrangement alternately creates a square (with side length fn+1 of the last added rectangle) or an oblong rectangle (with the same height fn as that of the last added rectangle and the length of the following Fibonacci number fn+2). The rounded edges of the ellipses together result in a Fibonacci ellipse spiral, which is only suggested in the case of the Butterfly Wings.