# A new deformation family of Schwarz’ D surface

```@article{Chen2018AND,
title={A new deformation family of Schwarz’ D surface},
author={Hao Chen and Matthias J. Weber},
journal={arXiv: Differential Geometry},
year={2018}
}```
• Published 4 April 2018
• Mathematics
• arXiv: Differential Geometry
We prove the existence of a new 2-parameter family o\$\Delta\$ of embedded triply periodic minimal surfaces of genus 3. The new surfaces share many properties with classical orthorhombic deformations of Schwarz' D surface, but also exotic in many ways. In particular, they do not belong to Meeks' five-dimensional family. Nevertheless, o\$\Delta\$ meets classical deformations in a 1-parameter family on its boundary.
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