Koch Snowflake - Part 2

Calculus

The Koch snowflake has several surprising properties, as illustrated in the previous question. Furthermore, in the above gif, we see that the Koch snowflake is self-similar, as zooming in on the perimeter reveals the exact same shape.

Which of the following statements is false of the Koch Snowflake, with initial side length \(s\)?

We can tessellate the plane with copies of the Koch snowflake in 2 different sizes. It can be subdivided into seven smaller snowflakes of the same size. Its perimeter is nowhere differentiable. It has an area of \( \frac{2 \sqrt{3} }{5} s^2 \).