A Modular Sculpture Corresponding to Three Rotations
Proceedings of Bridges 2024: Mathematics, Art, Music, Architecture, Culture
Pages 511–514
Short Papers
Abstract
A modular sculpture with simple and highly symmetric units is observed to have no apparent large scale symmetries. We show that the relative rotations of units in the sculpture are dense in the three dimensional rotation group, and ask whether they admit the presentation ⟨a, b, c | a2 = b2 = c2 = 1⟩.