GeometrieWerkstatt Gallery
Lawson CMC Surfaces
Lawson Surfaces
Lawson Surfaces
Lawson Surfaces
Lawson Surfaces
Lawson CMC
Lawson CMC
Lawson Flow 1
Lawson Flow 2
Lawson CMC Flow 0
Lawson CMC Flow 1
Lawson CMC Surface
Minimal cube
Lawson Surfaces
WebGL
Minimal surfaces in the 3-sphere
The Lawson minimal surfaces
ξ
g,1
in various stereographic projections.
The Lawson minimal surface ξ
6,1
.
Two projections of the Lawson minimal surfaces
ξ
g,1
with genus
g
=2, 3, 4, 5, 6.
The Lawson minimal surfaces
ξ
g,1
in S
3
of genus
g
=2, 3, 4, 5. The surfaces are steregraphically projected from S
3
to R
3
with curvature lines.
Family of CMC surfaces of genus 2 in S
3
, starting at the Lawson surface (upper left). As the necks shrink as the lobes expand, the surfaces converge to a double covered minimal sphere as singular limit.
A family of CMC surfaces in S
3
of genus 2. This stereographic projection exposes their Z
3
symmetry. Unlike family I, this family is not connected to the Lawson minimal surface
ξ
2,1
, The flow is conjectured to limit to a necklace of three CMC spheres (lower right) as the conformal type degenerates. }
Another stereographic projection of genus 2 CMC surfaces. In this view, the flow can be seen to mimic that of the 2-lobe Delaunay tori, but with a piece of a Delaunay cylinder glued in.
Genus 2 CMC surfaces with five and six lobes.