Iterating Borromean Rings on a Sphere

Douglas G. Burkholder
Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (2013)
Pages 483–486 Short Papers


Borromean Rings are a simple yet interesting set of three rings intertwined so that if any one ring is cut and removed, then the other two rings separate into unlinked rings. Here we search for interesting ways to iterate Borromean Rings to obtain artistically interesting weavings upon a sphere which continue to retain this property. We then explore the symmetries and antisymmetries of the resulting constructions.