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 G1 cubic Bezier splines. These are in the same manner as C1 cubic Bezier splines. However, instead of defining the joint point at the midpoint of the line segment, we can control the placement of the point by using a knot sequence bar below.
  1. Play with creating G1 splines.
    • How does manipulating the knot sequence affect the curve?
    • Changing a knot affects how many arcs in the curve?
    • What happens when you bunch knots together?
    • Is it easy to predict the affect of changing the knot sequence?
  2. Approximate a circle using the uniform knot sequence. What happens when you change the knot sequence? Can you get an approximate ellipse in this manner?