To get you started on your paper, we ask the following question
that relates the ideas of series and fractals using the snowflake curve. Cut
an equilateral triangle of side a out of paper, as shown in Figure G.a. Next,
three equilateral triangles, each of side a/3, are cut out and placed in the
middle of each side of the first triangle, as shown in Figure G.b. Then 12
equilateral triangles, each of side a/9, are placed halfway along each of
the sides of this figure, as shown in Figure G.c. Figure G.d shows the result
of adding 48 equilateral triangles, each of side a/27, to the previous figure.
As part of the work on this paper, find the perimeter and the area of the
snowflake curve formed if you continue this process indefinitely.
Figure G.9 Construction of a snowflake curve