Hans Walser, [20090701a]

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

These are isosceles trapezoids with top length , sides of length , and a base length .

Fibonacci Recursion

3        Sequence of Figures

Initial hexagon

Hexagonal star in the centre

The first trapezoids

Next step

Next ring of trapezoids

A further ring

How does it go on?