331 1

Koch Snowflake

Ch. 331

The geometric fractal explained.

The Koch Snowflake is one of the first fractal curves to be discovered in nature. This snowflake was discovered by Helge Von Koch a swedish mathematician. This snowflake with a base of a triangle, has iterations of triangles which have iterations of more triangles infinitely, making it a fractal. A fractal is a curve or geometric figure of which has parts that have the same statistical character as the whole. The Koch Snowflake is a particularly interesting fractal because it occurred as a snowflake in the wild, with only the clouds creating this complex shape. Although this particular snowflake’s perimeter is infinite, the area of the snowflake stays finite. Although the snowflake seems to have a definite shape, mathematical formulas prove that the fractals like the snowflake should have an infinite amount of iterations of patterns that “have the same statistical characteristics as the whole”. Also, the Koch Snowflake takes up a finite space rather than taking up an infinite amount of space which is why the area is fixed. The famous fractal, the Koch Snowflake, is a fascinating example of pattern of infinite repetition that naturally occur.            

1