Solved: Exercises 9 through 12 refer to a variation of the Koch snowflake called the

Chapter 12, Problem 11

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QUESTION:

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:Assume that the seed triangle of the Koch antisnowflakehas area A = 81. Let R denote the number of trianglessubtracted at a particular step, S the area of each subtractedtriangle, T the total area subtracted, and Q thearea of the shape obtained at a particular step of the construction.Complete the missing entries in Table 11.

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QUESTION:

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:Assume that the seed triangle of the Koch antisnowflakehas area A = 81. Let R denote the number of trianglessubtracted at a particular step, S the area of each subtractedtriangle, T the total area subtracted, and Q thearea of the shape obtained at a particular step of the construction.Complete the missing entries in Table 11.

ANSWER:

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We have to complete the missing entries in the table.

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