This is a test of the Koch curve in Scratch. I want to work with it to create a Koch snowflake next. Change the repeat slider to make more iterations of the curve and hit the green flag to see it drawn. Be warned, any number greater than 5 will draw extremely small shapes and take a long time to complete.
The Koch curve is one of the simplest fractals, first described in 1904 by Helge von Koch. It is a recursive shape with the potential for infinite perimeter and no tangent. Simply: any line segment is divided into 3 equal lengths, an equalateral triangle is made on the middle segment, and the middle segment is removed. Thus, for each iteration the length increases by a third of the length of the previous iteration.