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 […]
Skipping Spiral on Lavender Fields
Concept Fibonacci Squares The Fibonacci Squares collection shows arrangements of Fibonacci squares whose side lengths are Fibonacci numbers. Lavender Fields In the Skipping Spiral on Lavender Fields image, I picture the lavender fields of southern France fading into the distance. The spiral jumps from field to field. Arrangement The smallest square is a 1×1 square […]
Fibonacci Flower
Concept Fibonacci Ellipses The Fibonacci Ellipses collection shows arrangements of ellipses whose major axis (height) and major axis (width) are two consecutive Fibonacci numbers. The length of the large main axis of an ellipse becomes the length of the small main axis of the following ellipse. From the property of the Fibonacci numbers it follows […]
Infinite Shades of Yellow
Hommage à Hans Walser
Glowing Circles
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. Glowing Circles With Glowing Circles, the background […]
Sails of Phi
Hommage à Posamentier et Lehmann
Fibonacci Piano
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 Piano work, the rectangles are used to draw inserted black&white striped quarter ellipses whose semi-axes are the […]