View source for Peterson surface

A surface carrying a conjugate net of conical or cylindrical lines forming a principal base for a deformation (see [[Deformation over a principal base|Deformation over a principal base]]). For example, a [[Canal surface|canal surface]], a surface of translation (cf. [[Transport surface|Transport surface]]) and a rotational surface (cf. [[Rotation surface|Rotation surface]]) are Peterson surfaces. The [[Rotation indicatrix|rotation indicatrix]] of a Peterson surface is a straight conoid (in particular, it is a helicoid for a canal surface, and a hyperbolic paraboloid for a surface of translation). These surfaces were first considered by K.M. Peterson as examples of surfaces allowing of a deformation over a principal base.



====Comments====
For references see also [[Peterson correspondence|Peterson correspondence]].