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Date: 18-8-2021
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Date: 17-11-2021
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Date: 23-8-2021
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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
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.
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