The Spherical Compounds study investigates multilayered spherical structures where different polyhedral forms nest within the same spherical framework. Each layer is a distinct polyhedron extended through radial arcs reaching inward toward the center, producing hierarchies of interconnected geometry.
Varied construction methods coexist on a single spherical surface: one polyhedron appears as extended arcs, another as linear wireframes, a third as continuous surfaces — all maintaining geometric relationships through shared spatial organization. This approach shows how different representations of classical polyhedral forms interact when projected onto spherical surfaces and connected through radial geometry. Tessellation patterns and polyhedral compounds establish mathematical coherence across layers, and the nested arrangements produce visual and structural relationships while demonstrating how multiple geometric systems occupy the same spatial framework through different construction techniques. The investigation remains ongoing.
Photography: Phillip C. Reiner
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