Generating Chinese Knots from Arbitrary Shapes

Andrew Lee and Brandon M. Wang
Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture (2012)
Pages 377–380


Chinese knotting is a decorative art form where a single cord is looped and knotted to form interesting shapes and patterns. Most examples are abstract and symbolic, but there are also a few existing knots designed to resemble actual objects, such as animals. This paper presents a method for the automatic generation of a single-string Chinese-style knot that resembles an arbitrary input 3D model. We implemented our procedure as a program called Knotty.