Knot Designs from Snowflake Curves

Paul Gailiunas
Bridges London: Mathematics, Music, Art, Architecture, Culture (2006)
Pages 581–584


The Koch snowflake curve is one of the best-known self-similar fractals. Natural modifications of the polygons that represent the early stages of its generation provide templates for knotwork designs, some of which have been used in bookbindings. The boundary of another well-known self-similar fractal, the Sierpinski gasket, is closely related, and suggests a way to construct fractal knots.