Flow through Lawson Surfaces
WebGL
Minimal surfaces in the 3-sphere
Flow from the Clifford torus ξ1,1 of genus 1 to the Lawson minimal surfaces ξ1,2of genus 2.
The flow breaks the topology.

Flow through Lawson Surfaces
WebGL
Minimal surfaces in the 3-sphere
The Lawson surfaces ξp,q are a family of minimal surfaces in S3 of genus pq. There is a flow through minimal surface in which the two integers are replaced by real parameters.
Shown below is one leg of this flow, from the Lawson surface ξ2,1 of genus 2 to ξ2,2 of genus 4. An order 2 symmetry of the initial surface with six fixed points is “opened” along three cuts until it reaches an order 3 symmetry. The final surface is show before and after the missing piece is filled in.

Flow from a Delaunay torus to a Lawson CMC surface of genus 2.

Flow from a Delaunay torus to a Lawson CMC surface of genus 2.