Cayley's ruled cubic surface

Not to be confused with Cayley's nodal cubic surface.

In differential geometry, Cayley's ruled cubic surface is the ruled cubic surface

$x^{3}+(4x\,z+y)x=0.\$

It contains a nodal line of self-intersection and two cuspital points at infinity.

In projective coordinates it is $x^{3}+(4x\,z+y\,w)x=0.\$.

External links

• Cubical ruled surface
• Weisstein, Eric W. "Cayley Surface". MathWorld.