Genus 3
- Schwarz P
- oP-Deformation of P
- oS-Deformation of P
- rPD Deformation of P and D
- Schwarz D
- oD/tD Deformation of D
- Hao Chen’s Exotic D
- Schwarz H
- Deformed H
- Schwarz CLP
- Gyroid
- Lidinoid
Genus 4
- Schoen H’-T
- Deformed Schoen H’-T
- Schoen I-WP and Steßmann’s Surface
- Schoen S’-S”
- Deformed Schoen S’-S”
- Wei’s Triply Periodic Surface
- Triply Periodic Costa-Scherk
- CLP with Handle
Genus 5
- Schoen I6
- Schoen H”-R
- tD with Handles
- Complementary rPD (or triply Costa-Hoffman-Meeks)
- Surfaces with Box Symmetry
- Type (+–|+)
- Type (++|–) aka Schoen Unnamed 12 aka F-RD(r)
- Type (+-+|-)
- Type (+-+|+)
- Type (+++|-) aka Batista’s Surface
- Type (++|+-) a
- Type (++|+-) b
- Surfaces in a square box with horizontal diagonals
- Scherk1-Scherk2 Type A
- Scherk1-Scherk2 Type B
- Costa-Scherk2 aka Batista’s Surface
- Catenoid Nodes : Doubly Karcher-Scherk
Genus 6
- Schoen T’-R’
- Schoen F-RD
- Deformed F-RD
- Exotic F-RD
- Schoen I6 with Handle
- Triply RTW
- Experimental: square box with horizontal diagonals
Genus 7
- Schoen C(H)
- Simões-Batista Surface
- Genus 7 Triangular Antiprism
Minimal Surfaces 