Die Koch Schneeflocke
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\[ P_n = \textcolor{red}{3} \cdot s \cdot \frac{4^n}{3^n} \]
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+ \[ \lim_{n\to\infty}A_n = \textcolor{red}{3} \cdot \textcolor{red}{\frac{1}{9}} \cdot \sum_{n=0}^{\infty} \left(\frac{4}{9}\right)^n + \textcolor{red}{1} \]
+ \[ = 3 \cdot \frac{\frac{1}{9}}{1 - \frac{4}{9}} + 1 = \underline{\underline{1.6}} \]
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