Page 285 - NUMINO_WB_6B

096-P1-1

Sierpinski Triangle

Find the middle point of each side of a triangle and connect the middle points to
make four equilateral triangles. Then, remove the triangle in the middle. This is
called a Sierpinski triangle. Find the remaining number of equilateral triangles in
phase 4.

phase 0 phase 1 phase 2 phase 3

Step 1. Find the number of triangles in each phase.

Phase 0123

Number of
Equilateral Triangles

Step 2. Find the pattern from the chart in Step 1.

Step 3. Find the number of equilateral triangles in phase 4 by following the
pattern in Step 2 .