Fibonacci Piano

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


Fibonacci Rectangles

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

In the Fibonacci Piano work, the rectangles are used to draw inserted black&white striped quarter ellipses whose semi-axes are the sides of the rectangle.


The smallest Fibonacci rectangle is a 1×1 square with an inserted red quarter circle. 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 form a Fibonacci ellipse spiral.