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: A_{n+1}=A_{n}+[itex]\frac{3√3}{16}[/itex]([itex]\frac{4}{9}[/itex])^{n} and A_{n}=[itex]\frac{2√3}{5}[/itex]-[itex]\frac{3√3}{20}[/itex]([itex]\frac{4}{9}[/itex])^{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 :).
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.