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单词 Koch Antisnowflake
释义

Koch Antisnowflake

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

The Area after the th iteration is


where is the area of the original Equilateral Triangle, so from the derivation for the KochSnowflake,


See also Exterior Snowflake, Flowsnake Fractal, Koch Snowflake, Pentaflake, SierpinskiCurve


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.

Weisstein, E. W. ``Fractals.'' Mathematica notebook Fractal.m.


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