This applet is designed to build intuition about parameterized surfaces.
- The applet has a control window, a Parameterized Surface window, and a Domain window.
control window lets you define x, y, and z as functions of s and t. One can also
scroll the values of s0 and t0. Readouts let you see the values of the point
P0 = (x(s0,t0), y(s0,t0), z(s0,t0)).
Parameterized Surface window shows the surface along with the point P0
and curves (x(s0,t), y(s0,t), z(s0,t)) and (x(s,t0), y(s,t0),
z(s,t0)) in red and blue respectively. The gridlines checkbox
adds lines in pink and teal for other values of s and t.
- The Domain window follows the same color scheme, but has the lines drawn in the s-t plane.