Twirling Triangles

Fibonacci Equilateral Triangles
55 x 144 x 3 cm
FineArt Print Pigment Ink on Fabriano Artistico 310 g/m2
Alu Panel 1mm Solid Wood-PRM-Frame black
Edition # 5+1
Artwork-ID: GC-FET-II-55x144-X/5
Hommage à Hans Walser


Fibonacci Equilateral Triangles

The Fibonacci Equilateral Triangles collection shows arrangements of equilateral triangles whose side lengths correspond to the Fibonacci numbers. The side length of a single triangle is therefore the sum of the sides of the next two smaller triangles.

The colored areas grow as the square of the Fibonacci numbers. The color gradient reflects the distribution of a given amount of pigments over ever larger areas.


In the arrangement of twirling triangles, the yellowish triangles are rotated counterclockwise by 60º, starting from the innermost, red triangle with side length 1, and are flush on the outside. This creates a spiral shape that has rotated once after six turns. An identical interlocking triangle spiral can be placed inside the yellow triangle spiral. The second one was colored in the complementary colors of the first spiral. This creates a yin & yang effect with the same, infinitely intertwined and yet diametrically different figures. This arrangement of the Fibonacci triangles was first shown by Hans Walser in his book Fibonacci – Numbers and Figures with Black and White Triangles.