Porouhedron 6 and 141 – Phillip C. Reiner, 2025

The Porouhedron series examines porous polyhedral structures through systematic perforation of base polyhedra. Two configurations presented at Bridges 2025 span the research range. Porouhedron #6 establishes foundational methods for controlled void introduction. Each perforation maintains structural integrity while testing maximum achievable porosity. The configuration develops principles for how openings can transform base polyhedra without compromising mathematical consistency. Porouhedron #141 applies these methods at increased complexity. The high configuration number reflects extensive parametric testing-computational processes evaluate multiple variations before selecting specific geometric arrangements. Each opening follows algorithms that preserve polyhedral properties while creating interconnected void networks. The resulting forms parallel natural cellular structures-trabecular bone, coral matrices, volcanic pumice-through mathematical process rather than biomimetic intent. The two configurations demonstrate how controlled perforation can generate complex three-dimensional void systems while maintaining precise geometric relationships.

Research: The Porouhedron system tests perforation operations on base polyhedra, examining how void patterns affect structural and geometric properties. Configuration #6 establishes core methods: perforations must maintain load paths while maximizing open area, constrained by 3D printing tolerances for minimum wall thickness and overhang angles. Configuration #141 scales these constraints to denser perforation patterns. Computational testing evaluates hundreds of parametric variations, selecting configurations that balance void density with printability. The research extends polyhedral system work from AID into protoCtrl investigations, focusing on how algorithmic perforation generates structurally viable forms at the limits of additive manufacturing resolution.

Photography: Phillip C. Reiner
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