# Definition:Koch Snowflake

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## Definition

The **Koch snowflake** is the fractal generated by:

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This is the $3$rd iteration of the **Koch snowflake**:

## Also known as

The **Koch snowflake** is also known as:

- the
**Koch curve** - the
**snowflake curve**.

## Also see

- Results about
**the Koch snowflake**can be found**here**.

## Source of Name

This entry was named for Niels Fabian Helge von Koch.

## Historical Note

The **Koch snowflake** was introduced by Helge von Koch in $1904$.

Hence he demonstrated that a curve of infinite length can enclose a finite area.

## Sources

- 1989: Ephraim J. Borowski and Jonathan M. Borwein:
*Dictionary of Mathematics*... (previous) ... (next):**Koch curve** - 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next):**fractal** - 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next):**Koch curve** - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next):**fractal** - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next):**Koch curve**