Geometrical Limits

• Find the area of a unit circle by inscribing polygons

  Applet demo.

• Bound the area of a unit circle by inscribed and circumscribed polygons. Archimedes construction.
• Trisect an angle by a sequence of bisections.

The Role of Recursion

• The Cantor Set
• Fractals and Chaos
• Hausdorff dimension (defines fractional dimension of objects)
• Dynamical Systems