Today we are going to learn about one of the first fractals that where studied. Watch the following two videos and afterwards try to do the related activities.
Activities
Draw a Koch snowflake in a triangular grid. Do at least 3 iterations.
Why is the Koch snowflake considered a fractal?
Why the Koch snowflake is said to have an infinite perimeter? Explain it with your own words and equations.
What happens if you perform an infinite number of iterations?
How do you know that the area enclosed by the Koch Snowflake is finite?
What is the Australian coastline paradox?
Why the Australian and the English coastlines are said to be fractals?
What do the Australian coastline and Koch Snowflake have in common?
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