2 papers
math.GT2025
Constructions of and Bounds on the Toric Mosaic Number
Kendall Heiney, Margaret Kipe, Samantha Pezzimenti +2
Knot mosaics were introduced by Kauffman and Lomonaco in the context of quantum knots, but have since been studied for their own right. A classical knot mosaic is formed on a squar…
math.GT2024
Bounds on the mosaic number of Legendrian Knots
Margaret Kipe, Samantha Pezzimenti, Leif Schaumann +2
Mosaic tiles were first introduced by Lomonaco and Kauffman in 2008 to describe quantum knots, and have since been studied for their own right. Using a modified set of tiles, front…