Cayley's ruled cubic surface
Algebraic surface
In differential geometry, Cayley's ruled cubic surface is the ruled cubic surface
z
=
x
y
−
x
3
/
3
.
{\displaystyle z=xy-x^{3}/3\ .}
In projective coordinates it is
z
w
2
=
x
y
w
−
x
3
/
3
{\displaystyle zw^{2}=xyw-x^{3}/3\ }
.
It contains a (double) line of self-intersection
x
=
w
=
0
{\displaystyle x=w=0\ }
and two pinch points.
References
External links
Cubical ruled surface
Weisstein, Eric W. "Cayley Surface". MathWorld.
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