Koch Snowflake 

This snowflake fractal design was discovered by Helge von Koch in 1904. A fractal is a design whereby a part of the design has the same characteristics as the whole.

This snowflake fractal design is also known as a recursive design because it calls itself in the program to generate repeating patterns.

Looking at the bottom row of the stage area, 1). Make a straight line 2). Divide it into three equal parts and replace the center part with two sides of an equilateral triangle. 3). A snowflake repetition block was made to repeat the division of the parts. Notice that there are four repeats of design. This design becomes the self similarity which will repeat in all cases. 4). By repeating this design again by turning it 60 degrees, 120 degrees and 60 degrees, a circumnavigation is completed.

The top line of the stage area shows five iterations of the the fractal design drawn with a recursive block called "kochcurve". The first figure represents level 0 in the recursive program (or stage 1 according to Koch's paper). The next figure represents the next level/stage and so on. This program can be repeated forever. The size of the snowflake will alway remain the same but the self similarity becomes infinitesimal and the design gets denser as it gets smaller.