The curvature and torsion: how to distinguish the shape of a curve 
App 3D (\(k>0\))
Select the viewing mode here:
-
Mono
Stereo, TV 3D
Stereo, anaglyphes
Stereo, no glasses or with prisms
Instructions
The following images were taken from the app and the instructions in parentheses only work in the app.
The vectors of the initial Frenet-Serret frame are marked in green:
- T - Tangent
- N - Normal
- B - Binormal
(By dragging with the mouse, it is possible to see the graph rotating in space.)
The red curve has curvature and torsion given by the functions below.
(Move these points to draw the curvature function.)
Indication whether the red curve is in a plane or not.
(Move the upper points to choose the initial Frenet-Serret frame and move the lower point to zoom the curve.)
(Move these points to draw the torsion function.)
