Koch Snowflake Proof by Induction.

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The discussion focuses on proving the area of the Koch Snowflake using mathematical induction. The user presents two equations related to the area but finds them incompatible for induction proof. Participants suggest that a consistent relationship for the area needs to be established, emphasizing the geometric nature of the snowflake, which consists of triangles. The conversation encourages leveraging geometric insights to derive a suitable formula for the area. Ultimately, a clear and coherent approach to the area calculation is essential for a successful proof by induction.
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Hi, I was wondering if there is a way to prove the area of the Koch Snowflake via induction?
At the moment I have the equations:
An+1=An+\frac{3√3}{16}(\frac{4}{9})n
and
An=\frac{2√3}{5}-\frac{3√3}{20}(\frac{4}{9})n
These two don't seem to work together very well when trying to prove by induction. Can anyone offer any advice? This is not homework by the way :).
 
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So you need to find some consistent relation for the area of a koch snowflake?
Using you knowledge of geometry (it's all triangles after all) and the Koch snowflake itself, you should be able to come up with your own.
 
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