Knot Designs Based on the Hexagonal Rosette

Taneli Luotoniemi
Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (2013)
Pages 249–254 Regular Papers


The familiar hexagonal rosette pattern drawn with a compass can be used as a template to construct a variety of new rosettes with interlaced strands. Some designs are closed knots with alternating under-over strands and are chiral, with six-fold rotational symmetry. These designs can be divided into hexagonal modules of five different types. Designs of interlaced surfaces based on the same template can be drawn as layers forming Brunnian links.