The Fibonacci Star 1 The Star
The Fibonacci Star 2 How to get it
We work in the regular triangular lattice, using so called Fibonacci trapezoids.
Fibonacci Trapezoids
Hans Walser: Fibonacci Star 2/8
These are isosceles trapezoids with top length fn, sides of length fn+1, and a base length fn+2.
fn
fn+1 fn+1
fn+1 + fn
fn
fn+1 fn+1
fn+1+ fn = fn+2 Fibonacci Recursion
3 Sequence of Figures
Initial hexagon
Hexagonal star in the centre
Hans Walser: Fibonacci Star 4/8
The first trapezoids
Next step
Hans Walser: Fibonacci Star 6/8
Next ring of trapezoids
A further ring
Hans Walser: Fibonacci Star 8/8
How does it go on?