The Kaleidocycloids study investigates kinetic polyhedral structures that transform through continuous inversion. Ring-shaped assemblies of triangular modules rotate around hinged connections, creating cycles where the entire form inverts through itself. The name references kaleidocycles — ring-shaped chains of tetrahedra that rotate continuously without stopping.
Geometric modules arrange in circular patterns with kinematic properties that enable transformation. Each element connects to adjacent modules through hinges, establishing a closed chain with coordinated motion. As modules rotate, the structure cycles through different configurations while maintaining its fundamental geometric relationships.
Specific geometric arrangements create viable kaleidocycle forms; hinge positioning affects transformation behavior. Edge trajectories traced during inversion cycles generate curved three-dimensional paths, and these paths define secondary geometric forms derived from the kinetic motion itself. The investigation remains ongoing.
Photography: Phillip C. Reiner
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