The SuperCube Spheres study investigates scaling the SuperCubeSphere system into larger polyhedral structures. Three-cube and five-cube clusters extend through added cube pairs to create expanded icosahedral and dodecahedral forms.
Edge extension mechanisms use periodic assemblies of interlocking pairs to lengthen structural connections. Each base cluster establishes dihedral angles while additional elements provide linear growth. This scaling principle is tested for geometric coherence across different sizes.
Which polyhedral forms result from systematic extension, and how golden ratio relationships persist across scales, are the central questions. The spherical arrangement adapts to generate larger configurations while preserving modular interlocking logic and icosahedral symmetry principles established in the base SuperCubeSphere.
Photography: Phillip C. Reiner
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