# Fraai: Fibonacci in 3D geprint

Om de secretaris een plezier te doen, en omdat het gewoon een fraai gezicht is, hierbij een beetje visueel speelgoed. Volgens de San Francisco Globe is het 3D printwerk dat voldoet aan Fibonacci’s Sequence en onder een goed afgestelde stroboscoop gezet is. Wij quoten:

“This series of 3D printed sculptures was designed in such a way that the appendages match Fibonacci’s Sequence, a mathematical sequence that manifests naturally in objects like sunflowers and pinecones. When the sculptures are spun at just the right frequency under a strobe light, a rather magical effect occurs: the sculptures seem to be animated or alive! The rotation speed is set to match with the strobe flashes such that every time the sculpture rotates 137.5º, there is one corresponding flash from the strobe light.
These masterful illusions are the result of a marriage between art and mathematics. Fibonacci’s Sequence is defined as a recurrent relationship that can be expressed as:  F_n = F_{n-1} + F_{n-2}  where the first two digits of the sequence can be defined as F_1=1, and F_2=1. What this means is that the sequence starts with two 1’s, and each following digit is determined by adding together the previous two. Therefore, Fibonacci’s Sequence begins: {1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89…} etc.
What makes Fibonacci’s Sequence so incredibly fascinating is that it manifests in nature in countless places, such as in the branching of trees, the arrangement of leaves on a stem, the flowering of baby broccoli, a nautilus shell, or even the spiral of galaxies; and that’s just to name a few.”