Knot Mosaic Space
Knot Mosaic Space is an online repository for information related to knot mosaics. The concept of a knot mosaic was first introduced by Sam Lomonaco and Louis Kauffman in 2008. The idea is to create the image of a knot or link on a square grid using any number of tiles chosen from the collection of 11 tiles pictured here.
Here are a few examples of knot mosaics.
|For a complete introduction to knot mosaics, users are encouraged to explore the various works cited on the references page. This website features a complete table of knot mosaics for prime knots with crossing number 10 or less. Additionally, knots with crossing number greater than 10 are included if a mosaic has been found. Users are also encouraged to create their own knot mosaics using the Knot Mosaic Maker.
Knot Mosaic Space was created by Aaron Heap and his students at SUNY Geneseo and is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.