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+[itex]\frac{3√3}{16}[/itex]([itex]\frac{4}{9}[/itex])n
and
An=[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 :).
At the moment I have the equations:
An+1=An+[itex]\frac{3√3}{16}[/itex]([itex]\frac{4}{9}[/itex])n
and
An=[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 :).
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