Laguerre Minimal Surface Gallery


This is a small gallery of renderings of Laguerre minimal surfaces appearing in my work on this topic jointly with H. Pottmann, M. Skopenkov, N. Mitra and B. Blaschitz. For more information regarding these surfaces please consult the papers [1], [2] and [3].
general L-minimal surface of elliptic type

isotropic Enneper-type minimal surface

Enneper-type L-minimal surface

middle evolute of Enneper-type L-minimal surface

rotationally invariant L-minimal surface

general L-minimal surface of hyperbolic type

construction of a discrete Koebe pair

L-minimal surface obtained from solving the Bjorling problem

architectural study from L-minimal EO mesh

general L-minimal surface of parabolic type

L-minimal surface obtained from solving tangent plane interpolation via TPS

L-minimal surface enveloped by family of cones

L-minimal surface enveloped by family of cones

L-minimal surface enveloped by family of cones

general ruled L-minimal surface

isotropic Scherk-type minimal surface

L-minimal surface of Scherk-type

Discrete construction of L-minimal EO mesh with middle spheres

Discrete EO mesh construction of Bonnet L-minimal surface of Scherk-type

Discrete EO mesh construction of spherical L-minimal surface of Scherk-type