Exploring the Koch Snowflake (it’s getting cold after all!)
Draw the biggest equilateral triangle you can on a page
On each line/side, cut it in three parts and remove the middle part
Add two sides of a triangle in the gap.
Repeat like so:
What develops is a fractal. If you carry on this pattern for ever the area is bounded but the perimeter is infinite! You can learn how to make the Koch snowflake on Python here.
This site gives the code for a Seirpinski Triangle. You can try it on Trinket here.
Numberphile have an amazing collection of maths videos, one relating to fractals is here. And here is a great TED talk by Benoit Mandelbrot.