A fractal derived from the Koch
snowflake. The base curve and motif for the fractal are illustrated below.

The area enclosed by pieces of the curve after the th iteration is

where
is the area of the original equilateral triangle,
so from the derivation for the Koch snowflake,
the total area enclosed is

## See also

Exterior Snowflake,

Gosper Island,

Koch Snowflake,

Pentaflake,

Sierpiński Curve
## Explore with Wolfram|Alpha

## References

Cundy, H. and Rollett, A. *Mathematical Models, 3rd ed.* Stradbroke, England: Tarquin Pub., pp. 66-67, 1989.Lauwerier,
H. *Fractals:
Endlessly Repeated Geometric Figures.* Princeton, NJ: Princeton University
Press, pp. 36-37, 1991.Wells, D. *The
Penguin Dictionary of Curious and Interesting Geometry.* London: Penguin,
p. 136, 1991.## Referenced on Wolfram|Alpha

Koch Antisnowflake
## Cite this as:

Weisstein, Eric W. "Koch Antisnowflake."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/KochAntisnowflake.html

## Subject classifications