Concept explainers
Exercises 9 through 12 refer to a variation of the Koch snowflake called the Koch antisnowflake. The Koch antisnowflake is much like the Koch snowflake, but it is based on a recursive rule that removes equilateral triangles. The recursive replacement rule for the Koch antisnowflake is as follows:
Koch Antisnowflake
• Start: Start with a solid seed equilateral triangle [Fig. 12-36(a) ].
• Replacement rule: In each step replace any boundary line segment ____ with a (where the point is always facing toward the interior of the snowflake). [Figures 12-36(b) and (c) show the figures obtained at Steps 1 and 2, respectively.
Assume that the seed triangle of the Koch antisnowflake has area
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EXCURSIONS IN MODERN MATH. >ANNOT.<
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