Cayley's ruled cubic surface

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

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

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

It contains a nodal line of self-intersection and two cuspital points at infinity.[1]

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

References

1. "Ruled Cubics | Mathematical Institute". www.maths.ox.ac.uk. Retrieved 2020-08-08.

External links

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