Adolphe Merkle Institute

The chiral gyrating H’-T surface family: construction from the dual qtz – qzd nets and existence proof using a toroidal Weierstrass method

Abstract This paper provides an existence proof for a one-parameter family of chiral unbalanced triply periodic minimal surfaces of genus four. We name these gyrating H’-T surfaces because they are related to Schoen’s H’-T surfaces in a similar way as the gyroid is to the primiti...