Between the Devil and the Deep Blue Sea

Fibonacci Hexagons
89 x 100 x 3 cm
FineArt Print on Hahnemühle German Etching 310 g/m2
Edition # 5+1
Artwork -ID: GC-FHX-I-89x89-X/5


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 side by side in the next largest, which nicely shows the nature of the Fibonacci sequence.

Between the Devil and the Deep Blue Sea

The artwork shows two series of Fibonacci hexagons in lightening shades of blue. So both series contain identical hexagons.

The first series of hexagons spreads out like a wavefront, starting at the lower left corner. The second series is a linear sequence of hexagons from the lower left corner to the upper right corner.

The eye is in a constant dilemma of following one series or the other. Even though same hexagons have the same color, they appear different due to the different backgrounds. And each hexagon is trapped between two hexagons of the next closest size.

Also, the second series of hexagons illustrates the well-known formula that the sum of the n first Fibonacci numbers is equal to the (n+2)th Fibonacci number minus 1. The “minus 1” can be seen from the fact that the series ends (or begins) with the small red hexagon H1, which does not quite touch the corner.