2018/03/09 by Margaret Allardice, Allardice, Margaret, Ethan D. Bloch +1
Computer Science · Mathematics · #57M25 #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Image Processing and 3D Reconstruction
paper · pdf · doi:10.48550/arxiv.1803.03685
openalex publication_date 2018/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give a simple example showing that a knot or link diagram that lies in the ℤ2 lattice is not necessarily the projection of a lattice stick knot or link in the ℤ3 lattice, and we give a necessary and sufficient condition for when a knot or link diagram that lies in the ℤ2 lattice is in fact the projection of a lattice stick knot or link.