Concept
Fibonacci Rectangles
The Fibonacci Rectangles collection shows arrangements of Fibonacci rectangles whose height and width are two consecutive Fibonacci numbers. The width of one rectangle becomes the height of the next bigger 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.
The round edges of the ellipses together form a Fibonacci elliptical spiral.
Arrangement
The smallest Fibonacci rectangle is a 1×1 square and has been colored red as the origin of the image. It symbolizes the Big Bang, or, viewed from the other side, the “red” hole.
Starting from the first rectangle, the subsequent Fibonacci rectangles are aligned in the same way, but arranged clockwise in a spiral. This arrangement alternately creates a square (whose side length is the length of the last added rectangle) or a very elongated rectangle (whose height is that of the last added rectangle and whose length is that of the next larger rectangle).
The infinite set of all Fibonacci rectangles has the fascinating property that with the above arrangement it can cover the entire plane completely and without gaps.