Porouhedron 6 and 141 – Phillip C. Reiner, 2025

Resin sculpture of a porous polyhedron with wavy edges, displayed in an indoor space.

The Porouhedron series investigates porous polyhedral structures through systematic perforation of base polyhedra. Two configurations present at Bridges 2025 demonstrate the research spectrum. Porouhedron #6 represents early exploration-lower numbers establish foundational principles for controlled void introduction while maintaining structural integrity. The configuration demonstrates how systematic perforation transforms base polyhedra, connecting to broader AID investigations into polyhedral systems. Porouhedron #141 extends this research into complex territory. The high configuration number suggests extensive parametric exploration, testing how perforation methods scale to increased complexity while preserving mathematical rigor. Each opening follows rules that maintain symmetry groups while creating interconnected void spaces. #141 balances visual complexity against mathematical elegance, demonstrating how algorithmic processes generate forms echoing natural cellular structures-bone matrices, coral skeletons, volcanic pumice-without direct mimicry. Together, the configurations span the series' range: #6 establishes core principles, #141 pushes parametric limits.

Research: The Porouhedron system applies controlled perforation operations to base polyhedra, investigating how void introduction affects geometric properties. Configuration #6 focuses on foundational methods-maintaining structural integrity while maximizing porosity, balancing mathematical rigor with resin printing constraints. Configuration #141 explores how these methods scale to increased complexity. The high number indicates extensive parametric exploration: computational approaches test numerous variations before selecting configurations for specific geometric properties. The research continues polyhedral system investigations developed from AID, now extended through protoCtrl. Both configurations balance mathematical elegance with fabrication requirements, testing limits of what remains structurally viable while maximizing void space.

Resin sculpture with complex porous design, artistic exploration of geometric structures.

Photography: Phillip C. Reiner

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