The Kaleidocycloids study investigates kinetic polyhedral structures that transform through continuous inversion. These ring-shaped assemblies of triangular modules rotate around hinged connections, creating cycles where the entire form inverts through itself. The research explores how 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. The investigation examines which geometric arrangements create viable kaleidocycle forms and how hinge positioning affects transformation behavior. The study tests how triangular modules combine into kinetic systems capable of continuous inversion, establishing foundations for geometric forms derived from edge trajectories during transformation cycles.
Photography: Phillip C. Reiner
