Rectangles & Red Spiral

Fibonacci Rectangles
89 x 89 x 3 cm
2022
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-II-89x89-X/5

Concept

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. The color gradient reflects the distribution of a given amount of pigments over ever larger areas.

In the work Rectangle Red Spiral, the rectangles are used to  color the edge of a quarter ellipse whose semi-axes are the sides of the rectangle in red.

Arrangement

The smallest Fibonacci rectangle is a 1×1 square and was colored red as the origin of the image. It symbolizes the Big Bang, or seen from the other side, the “red” hole. Starting from the first rectangle, the following Fibonacci rectangles are aligned 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.