Cayley's ruled cubic surface

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

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

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

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