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Date: 23-11-2021
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Date: 14-11-2021
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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
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where is the area of the original equilateral triangle, so from the derivation for the Koch snowflake, the total area enclosed is
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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.
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