Cartesian parametrization: (where  ). Rational algebraic surface of degree 16. First fundamental quadratic form: . Surface element: . Total curvature: . Zero mean curvature (minimal surface).

The Bour surface is the minimal surface obtained by taking  in the Weierstrass parametrization of a minimal surface: . It is a special case of generalized Enneper surface.

The projections on xOy of the lines r = constant are hypotrochoids with three branches.	Compare to a sinusoidal half-cone:

 
 
 

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© Robert FERRÉOL  2017