Fibonacci Spiral's End

Fibonacci Spiral's End


Ich glaube, Sie haben schon von Fibonacci numbers gehört, die eine entsprechende Folge bilden, bei der jede Zahl die Summe der beiden vorhergehenden ist. Die Sequenz beginnt in der Regel mit 0 und 1:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...

Die Sequenz kann als Kachel mit Quadraten dargestellt werden, deren Seitenlängen aufeinanderfolgende Fibonacci-Zahlen sind. Für diese Aufgabe verwenden wir genau diese Anordnung der Quadrate:

Wenn Sie den Zahlen folgen, sehen Sie, dass sie eine Spirale bilden. Auf dem nächsten Bild ist die Fibonacci-Spirale zu sehen: eine Annäherung an die goldene Spirale, die durch das Zeichnen von Kreisbögen entsteht, die die gegenüberliegenden Ecken der Quadrate in der Fibonacci-Folge...

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