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Hans Walser, [20090701a] The Fibonacci Star 1 The Star

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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

(2)

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

(3)

Hexagonal star in the centre

(4)

Hans Walser: Fibonacci Star 4/8

The first trapezoids

(5)

Next step

(6)

Hans Walser: Fibonacci Star 6/8

Next ring of trapezoids

(7)

A further ring

(8)

Hans Walser: Fibonacci Star 8/8

How does it go on?

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