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
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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
