A recent paper on 3D printing is likely also relevant to 3D weaving: "Strong 3D Printing by TPMS Injection" by Xin Yan, Cong Rao, Lin Lu, Andrei Sharf, Haisen Zhao, and Baoquan Chen. The authors show how to modify a level-set approximation of a triply-periodic minimal surface (TPMS) to custom fit the shape and interior stress levels of a sculptural object. Alison Grace Martin has already demonstrated that many TPMS can be woven.
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