%0 Journal Article
%T Stick index of knots and links in the cubic lattice
%A Colin Adams
%A Michelle Chu
%A Thomas Crawford
%A Stephanie Jensen Kyler Siegel
%A Liyang Zhang
%J Mathematics
%D 2012
%I arXiv
%R 10.1142/S0218216511009935
%X The cubic lattice stick index of a knot type is the least number of sticks necessary to construct the knot type in the 3-dimensional cubic lattice. We present the cubic lattice stick index of various knots and links, including all (p,p+1)-torus knots, and show how composing and taking satellites can be used to obtain the cubic lattice stick index for a relatively large infinite class of knots. Additionally, we present several bounds relating cubic lattice stick index to other known invariants.
%U http://arxiv.org/abs/1205.5256v1