Koch Antisnowflake


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 nth iteration is


where Delta 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

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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.

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