Two New Embedded Triply Periodic Minimal Surfaces of Genus 4

@article{Freese2018TwoNE,
  title={Two New Embedded Triply Periodic Minimal Surfaces of Genus 4},
  author={D. Freese and Matthias J. Weber and A. T. Yerger and Ramazan Yol},
  journal={arXiv: Differential Geometry},
  year={2018}
}
We add two new 1-parameter families to the short list of known embedded triply periodic minimal surfaces of genus 4 in $\mathbb{R}^3$. Both surfaces can be tiled by minimal pentagons with two straight segments and three planar symmetry curves as boundary. In one case (which has the appearance of the CLP surface of Schwarz with an added handle) the two straight segments are parallel, while they are orthogonal in the second case. The second family has as one limit the Costa surface, showing that… Expand

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