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. 

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for more information about this snowflake design.  

This snowflake fractal design is also known as a recursive design because it calls  itself in the program. (look at the block snowflake repetition #2 and #3).

Looking at the bottom row of the stage area, 1). take a straight line and divide it into three equal parts. 2). Replace the center part with two sides of an equilateral triangle. 3). Repeat the division of the parts. Notice that there are four repeats of design # 2. This design becomes the self similarity which will repeat in all cases. 4). Repeat design #3, turn it 60 degrees and then 120 degrees to complete a circumnavigation.

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.