Click on the green flag. A single line called the 'initiator' will be drawn near the bottom of the screen. This line is trisected and an equilateral triangle is built on the central third of the line segment.This figure is called the 'generator'. Click the Next Iteration button to see that each line segment is again trisected with a smaller triangle built on the center section. After 5 iterations, the script STOPS.
This project is a remix of http://scratch.mit.edu/projects/10687761/ by MalinC The original project by MalinC showd how to use Make a Block to closely model how the Koch curve is programmed in Logo. I believe this version is easier to understand than projects that use the Lindenmayer string-replacement method. This is the famous Koch curve named for its inventor, Helge von Koch (1870 – 1924), a Swedish mathematician. It is one of the mathematical 'curves' that forced mathematicians to rethink the definition of 'curve' The Koch curve is often the first fractal a student studies as it is perhaps the simplest of the class of fractals called 'similarity fractals'. The script is easily adapted to many other similarity fractals by changing the define [curve][length] script to draw the 'generator' of the fractal.
