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.

中文翻译：

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Schwarz'D 曲面的新变形族

我们证明了一个新的 2 参数族 o$\Delta$ 的嵌入式三重周期极小曲面的存在。新曲面与 Schwarz' D 曲面的经典正交变形共享许多属性，但在许多方面也很奇特。尤其是，他们不属于米克斯的五维家族。尽管如此，o$\Delta$ 在其边界上满足 1 参数族中的经典变形。