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
Applet for Creating Bicubic Bezier Patches with Zero Twist Vectors

DIRECTIONS:   In this applet, you create a bicubic Bezier patch as normal but you do not have control over the middle 4 control points p(1,1), p(1,2), p(2,1), and p(2,2) in the control net. These control points are placed so that at the corners of the patch there is no twist vector, for instance the point p(1,1) = p(1,0) + p(0,1) - p(0,0).

In playing with this applet, you should consider how this restriction affects the patch. How much freedom do you still have in creating a patch?