Curves and Surfaces > Curves > Special Curves > Geometry
Curves that are geometrically interesting.
Constant Curvature Curves with constant curvature.
Constant Torsion Curves with constant torsion.
Centers of Curvature  

Constant Curvature

Some curves have the remarkable property that their curvature is constant everywhere. The circle is an excellent example of such a curve.

Constant Torsion

Curves can also have constant torsion, like the helix.

Centers of Curvature