Concept
Fibonacci Squares and Rectangles
The Fibonacci Squares collection shows arrangements of Fibonacci squares whose side lengths are Fibonacci numbers. The squares are filled with Fibonacci rectangles whose height and width are two consecutive Fibonacci numbers.
Fibonacci Finds Mondrian
Fibonacci Finds Mondrian is a tribute to the Dutch painter Piet Mondrian (1872-1944), a master and pioneer of abstract art. In 1917, Mondrian co-founded with Theo van Doesburg and others the art movement and group called de Stijl (now also known as Neoplasticism).
In order to take the abstractness and thus the «universal beauty» to the extreme, Mondrian imposed drastic restrictions on his pictures: they were only allowed to use the primary colors blue, red and yellow, as well as the non-colors black, white and gray, and only horizontal-vertical Rectangle shapes (including squares) and straight lines.
In Fibonacci Finds Mondrian I introduced, in addition to Mondrian’s limitations, those of the Fibonacci Art, namely that the shapes (rectangles, squares and lines) are based on the Fibonacci numbers as mass.
Arrangement
Fibonacci Finds Mondrian is made up of Fibonacci squares and rectangles and follows the law that each Fibonacci square can be broken down into four Fibonacci rectangles arranged around a smaller Fibonacci square in the middle. This decomposition is repeated until the smallest Fibonacci square of size 1×1 is reached.
The four rectangles have the Piet Mondrian colors blue, red, yellow and white. Smaller rectangles are rotated counterclockwise. The innermost square, essentially the origin of the image, is green.
Each rectangle is framed and partially covered by black lines of varying thickness. The thickness of the frames varies in proportion to the Fibonacci numbers.
The image has a square format with a side length of 89 cm (the eleventh Fibonacci number). This format crops the underlying 144 cm square (the twelfth Fibonacci number), so that the outer rectangles are cut off and are only partially visible.