Activity Description Step through the generation of Sierpinski's Carpet -- a fractal made from subdividing a square into nine smaller squares and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.

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Sierpinski's Carpet

Place in mathematics curriculum:

This activity can be used to:

• practice students' area and perimeter skills
• demonstrate fractal objects

This activity allows the user to step through the process of building the Sierpinski's Carpet. This activity would work well in same ability groups of three or four for about thirty-five minutes if you use the exploration questions and ten minutes otherwise.

Preparations for this activity:

• explain in detail what infinity is.
• explain how to discover patterns from tables.