Resilient Knots and Links As Form-Finding Structures

Dmitri Kozlov
Proceedings of Bridges 2011: Mathematics, Music, Art, Architecture, Culture (2011)
Pages 179–186 Regular Papers


The paper explores knots made of resilient filaments. The elastic energy in the cyclic periodic knots causes them to turn into flat symmetric woven patterns. The sequential development of the simplest cyclic knots of resilient material turns them into kinetic structures. The structures can transform into a spatial state and take on the shape of different surfaces. This method of form finding may have application in many practical fields including art, design and architecture.