The Five-Fold Puzzle ET study investigates Einar Thorsteinn's FANG tiling method-Fivefold-symmetry, All space filling, Non-periodic Geometry. The research explores how enantiomorphic polyhedral forms can close pack space with five-fold symmetry through tetrahedral modules. Thorsteinn's approach addresses the crystallographic restriction that prevents five-fold symmetry from existing in periodic patterns. The FANG system uses chiral tetrahedral units that interlock to create aperiodic space-filling arrangements. These modules establish progressions of scales that facilitate transitions between different symmetry states. The investigation examines how fractal subdivisions of tetrahedral forms generate spatial organizations that maintain five-fold rotational relationships without periodic repetition. The puzzle aspect refers to how these enantiomorphic units fit together-mirror forms that interlock through precise geometric relationships to achieve space-filling properties impossible in traditional periodic systems.
Photography: Phillip C. Reiner
