In differential geometry, the Henneberg surface is a non-orientable minimal surface[1] named after Lebrecht Henneberg.
It has parametric equation
and can be expressed as an order-15 algebraic surface.[2] It can be viewed as an immersion of a punctured projective plane.[3] Up until 1981 it was the only known non-orientable minimal surface.[4]
The surface contains a semicubical parabola ("Neile's parabola") and can be derived from solving the corresponding Björling problem.[5][6]