Triply Periodic Surfaces of Genus 4

While genus 3 triply periodic minimal surfaces are always hyperelliptic, genus 4 surfaces never are. This complicates the construction of examples, and our knowledge is limited to a few families of examples.

Individual Surfaces

• P/CLP with outward handle
• P/CLP with inward handle
• CLP with handle and straight lines
• CLP order 3
• Schoen H'-T
• Schoen I-WP
• Schoen S'-S''
• Schoen S'-S'' other view
• Fischer-Koch BC-2