Koch snowflake

Koch snowflake is also known as Koch star or Koch island
Is a fractal curve.
Introduced by Sweedish Mathematician Helge von Koch.
First appeared in a research paper in 1904 as “On a continuous curve without tangents, constructible from elementary geometry”.

1. Koch Snowflake Fractals

2. Introduction Koch snowflake is also known as Koch star or Koch island Is a fractal curve. Introduced by Sweedish Mathematician Helge von Koch . First appeared in a research paper in 1904 as “ On a continuous curve without tangents, constructible from elementary geometry ”.

3. Construction Koch curve can be created by starting with a equilateral triangle. Each side of the equilateral triangle is divided into three parts, then the middle part of the divided side is taken as a base and a triangle is constructed. And this iteration is continued. This will create an infinite curve. An animated image looks like this (To be seen in slideshow)

4. Properties It is continuous everywhere but differentiable nowhere Perimeter: P n =3.s. Where: s is the length of the side of original triangle n is the iteration Area: An = ( a o /5)(8-3 ) Where: ao is the area of the original triangle  

5. References: http:// en.wikipedia.org/wiki/Koch_snowflake http:// mathworld.wolfram.com/KochSnowflake.html http://ecademy.agnesscott.edu/~lriddle/ifs/ksnow/ksnow.htm