Concept
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 Red Lips work, the rectangles are used to draw inserted red-colored quarter ellipses whose semi-axes are the sides of the rectangle.
Arrangement
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 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.