In several parts of the world, we have begun to see the first snowfall of the winter season. Today, we are taking a look at the special mathematical Koch snowflake. This geometric object can be created from the union of many equilateral triangles and is a fractal curve first brought to light by Swedish mathematician Helge von Koch in 1904. Famous for its unique properties, its area is finite (which, in progression, converges to 8/5 times the area of the original triangle), but its perimeter is infinite. Isn’t it intriguing and beautiful?
This December, we have a Mathnasium “Make a Koch Snowflake” activity that you can do at home with your child. Select the appropriate level for your child (Lower Elementary or Upper Elementary), download the pages (below), and settle in for some artistic, mathematical fun!