A Modular Sculpture Corresponding to Three Rotations

Year: 2024 Authors: Shintaro Fushida-Hardy; Peter Huxford

Core claim

The sculpture’s inter-unit rotations are dense in SO3(R), and the authors ask whether the three involutions generate a free product of three Z/2Z factors.

Topics

modular sculpture, dense rotation groups, symmetry and asymmetry, free product question

Domains

group theory, rotation groups, SO3(R), matrix representations, sculpture, 3D printing, modular design, geometric art

Methods

rotation matrix analysis, group-theoretic proof, computer search, iterative construction

Media

Douglas fir, 3D-printed units, slotted rectangular modules

Source status

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