Symmetrizations

One way to increase the complexity of a minimal surface is by increasing its symmetry. This can usually be done in a straightforward way, but there are exceptions.

• Spheres with Catenoidal Ends
  • Jorge-Meeks k-Noids
  • Pyramidal k-Noids
  • Bipyramidal k-Noids
  • Prismatic k-Noids
  • Antiprismatic k-Noids
• Spheres with Other Ends
  • k-Noids with Enneper Ends
  • Symmetrized Enneper
  • Symmetrized Double Enneper
  • Catenoid-1 + Enneper-1 (symmetrized genus 1 case)
  • Symmetrized Finite Riemann
  • Enneper with n Catenoids
  • Enneper with n+1 Catenoids
• Higher Genus
  • Symmetrized Chen-Gackstatter (g=n)
  • Symmetrized Chen-Gackstatter (g=2n)
  • Symmetrized Costa Surface
  • Symmetrized Costa-Hoffman-Meeks Surface
• Singly Periodic Surfaces
  • Symmetrized Scherk Surface