Karl Jones: Created page with "The '''Koch snowflake''' (also known as the '''Koch curve''', '''Koch star''', or '''Koch island) is a mathematical curve and one of the earliest fractal curves to hav..."

2016-09-16T12:31:55Z

Created page with "The '''Koch snowflake''' (also known as the '''Koch curve''', '''Koch star''', or '''Koch island) is a mathematical curve and one of the earliest fractal curves to hav..."

New page

The '''Koch snowflake''' (also known as the '''Koch curve''', '''Koch star''', or '''Koch island) is a mathematical [[curve]] and one of the earliest [[fractal]] curves to have been described.
'''
== Description ==

It is based on the Koch curve, which appeared in a 1904 paper titled "On a continuous curve without tangents, constructible from elementary geometry" (original French title: ''Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire'') by the Swedish mathematician [[Helge von Koch]].

The progression for the area of the snowflake converges to 8/5 times the area of the original [[triangle]], while the progression for the snowflake's perimeter diverges to infinity. Consequently, the snowflake has a finite area bounded by an infinitely long line.

== See also ==

* [[Fractal]]
* [[List of fractals by Hausdorff dimension]]
* [[Gabriel's Horn]] (infinite surface area but encloses a finite volume)
* [[Flowsnake]]
* [[Self-similarity]]
* [[Weierstrass function]]

== External links ==

* [https://en.wikipedia.org/wiki/Koch_snowflake Koch snowflake] @ Wikipedia.org

[[Category:Mathematics]]

Koch snowflake - Revision history

Karl Jones: Created page with "The '''Koch snowflake''' (also known as the '''Koch curve''', '''Koch star''', or '''Koch island) is a mathematical curve and one of the earliest fractal curves to hav..."