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Hyphae is a collection of 3D printed artifacts constructed of rhizome-like networks. Inspired by the vein structures that carry fluids through organisms from the leaves of plants to our own circulatory systems, we created a simulation which uses physical growth principles to build sculptural, organic structures. Starting from an initial seed and a surface, we grow a hierarchical network where nodes constantly branch and merge. The densely interconnected structure is at once airy and strong.