%0 Journal Article
%T Minimal Degree Parameterizations of the Trefoil and Figure-Eight Knots
%A Samantha Pezzimenti
%J Mathematics
%D 2011
%I arXiv
%X This paper determines the minimal degree sequence for two compact rational knots, namely the trefoil and figure-eight knots. We find explicit projections with the minimal degree sequence of each knot. This is done by modifying a non-compact rational minimal-degree parameterization of the trefoil and figure-eight knots to make it compact. This research was conducted at Ramapo College of New Jersey during the summer of 2011 with Dr. Donovan McFeron.
%U http://arxiv.org/abs/1111.3333v1