Hermann Amandus Schwarz solution to the Björling problem allows to write down the Enneper-Weierstrass data for a minimal surfaces that contains a given space curve and whose tangent planes are orthogonal to a given normal vector field along that curve. The following examples are listed by the core curves.

- Circle
- Helix
- Cycloid (Catalan’s Surface)
- Deltoid
- Closed Cycloids
- Trefoil Knot
- Quatrefoil Knot
- Basic Torus Knots
- Tweaked Torus Knots
- Logarithmic Helix (Breiner-Kleene Surface)
- Spirals