Chapter 8.9, Problem 3E

The Mitsubishi gasket. Carefully and accurately complete the first four steps of a Mitsubishi gasket. To create this shape, use the following steps. (See Figure $8.167$.)

FIGURE $8.167$ Creating a Mitsubishi gasket.

1. Draw a triangle and fill in its interior.
2. Put three holes in the triangle.

• Form the points that divide the sides of the triangle into thirds.
• Form nine new triangles by connecting those points with lines parallel to the sides.
• Form three holes by removing three of these new triangles, as shown in Figure $8.167$.

This leaves six filled-in triangles, each a smaller version of the original triangle from step 1.

1. Put three holes in each of the six triangles from step 2 by applying the procedure from step 2 to each triangle.
2. Put three holes in each of the triangles from step 3 by applying the procedure from step 2 to each triangle.

1. (and beyond).

Put three holes in each of the triangles from the previous step by applying the procedure from step 2 to each triangle.