MOTIVATING  GEOMETRY THROUGH
COMPUTATION  AND  VISUALIZATION
funded by NSF-CCLI grant DUE-0126687

 Principal Investigator
David L. Finn
Associate Professor of Mathematics
Rose-Hulman Institute of Technology
Finn's Page | CCLI Info | Applets | Materials | Course Notes | Publications
EXERCISES to EXPLORE with this APPLET
In this applet, you create Bezier curves using the Bernstein polynomials as basis functions. To create a curve, you place control points as in the previous applets.
  1. Play with creating cubic Bezier curves. How many different types of cubic curves are there? Create an inventory of cubic Bezier curves. [You need to decide on a meaning of different.]
  2. Play with creating quartic cubic Bezier curves. Create an inventory of quartic curves.
  3. Can you create a copy of any cubic Bezier curve with a quartic Bezier curve? How are the control points and the control polylines related? (Use the Multiple Curves Option)
  4. What controls the types of Bezier curve that you create? Is there any relation between the number of control points used and the number of different types of Bezier curves you can create?