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

ruled ''Ruled'' is the fifth full-length LP by The Giraffes. Drums, bass and principal guitar tracks recorded at The Bunker in Brooklyn, NY. Vocals and additional guitars recorded at Strangeweather in Brooklyn, NY. Mixed at Studio G in Brooklyn, NY ...

cubic surface In mathematics, a cubic surface is a surface in 3-dimensional space defined by one polynomial equation of degree 3. Cubic surfaces are fundamental examples in algebraic geometry. The theory is simplified by working in projective space rather tha ...

x^3 + (4 x\, 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 + (4 x\, z + y\, w) x =0.\

References

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Cubical ruled surface
* {{DEFAULTSORT:Cayley's Ruled Cubic Surface Algebraic surfaces Differential geometry