Fibonacci Finds Mondrian

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 […]
Fibonacci Flower II

Concept Fibonacci Circles The Fibonacci Circles collection shows arrangements of circles whose diameter corresponds to the Fibonacci numbers. The diameter of a single circle is therefore the sum of the diameters of the next two smaller circles. The colored areas grow as the square of the Fibonacci numbers. Fibonacci Flower II The image Fibonacci Flower […]
Cortex Vortex

Fibonacci Pentagons The Fibonacci Pentagons collection shows arrangements of regular pentagons whose side lengths are Fibonacci numbers. A regular pentagon has five sides of equal length and five diagonals of equal length. The five interior angles are 108º, making a total of 540º. Regular pentagons have the fascinating property that the ratio of their diagonals […]
Fibonacci’s Muscle Man

Fibonacci Pentagons The Fibonacci Pentagons collection shows arrangements of regular pentagons whose side lengths are Fibonacci numbers. A regular pentagon has five sides of equal length and five diagonals of equal length. The five interior angles are 108º, making a total of 540º. Regular pentagons have the fascinating property that the ratio of their diagonals […]
Titillating Tilt

Fibonacci Squares The Fibonacci Squares collection shows arrangements of Fibonacci squares whose side lengths are Fibonacci numbers. Titillating Tilt Titillating Tilt is a series of colorful, nested Fibonacci squares, a small one within the next larger. The larger becomes the frame of the smaller. Due to the law of Fibonacci numbers, the frame width is […]
Chauncey Gardiner’s Garden

Concept Fibonacci Squares The Fibonacci Squares collection shows arrangements of Fibonacci squares whose side lengths are Fibonacci numbers. Chauncey Gardiner’s Garden Chauncey Gardiner’s Garden is a series of colorful, nested Fibonacci squares, one small within the next larger. The larger becomes the framework of the smaller. Due to the law of Fibonacci numbers, the frame […]
Stairway to Heaven

Fibonacci Squares The Fibonacci Squares collection shows arrangements of Fibonacci squares whose side lengths are Fibonacci numbers. Fibonacci squares have the fascinating property that they can be composed of the next two smaller Fibonacci squares and two Fibonacci rectangles. (The side lengths of a Fibonacci rectangle are two consecutive Fibonacci numbers.) The smaller Fibonacci squares […]
Between the Devil and the Deep Blue Sea

Concept Fibonacci Hexagons The Fibonacci Hexagons collection shows arrangements of hexagons (regular equilateral hexagons) whose side lengths correspond to Fibonacci numbers. The hexagon has the interesting property that the length of all three diagonals is twice the length of the side, i.e. twice a Fibonacci number. This allows the two smaller hexagons to be plotted […]
Fibonacci Butterfly Wings

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. Fibonacci Butterfly Wings In the work Fibonacci Butterfly Wings, the rectangles are used to draw in them virtual quarter ellipses, […]
Fibonacci Rhomboids Xmas

Concept Fibonacci Rhomboids The Fibonacci Rhomboids collection shows arrangements of Fibonacci rhomboids (geometric quadrangles with opposite sides being parallel), whose short and long side lengths are two consecutive Fibonacci numbers. The two small angles in the rhomboid were chosen to be 72º to match the base angle of the golden triangle. The two major angles […]