‘Tis the season for snowflakes, whether they are falling from the sky, or simply being made by children for decoration. An interesting “snowflake” is Koch’s Snowflake, which is a fractal curve created by “starting with an equilateral triangle, then recursively altering each line segment as follows”:
- Divide the line segment into three segments of equal length.
- Draw an equilateral triangle that has the middle segment from step 1 as its base and points outward.
- Remove the line segment that is the base of the triangle from step 2.
The fractal and recursive nature can be seen here:
Another view here: