On toroidal knots, chirality, and molecules
Abstract
Description
The inspiration for this thesis came from two sources: the book When topology meets
chemistry: a topological look at molecular chirality, by Erica Flapan [7], which discusses
topologically interesting molecules; and the paper All toroidal embeddings of
polyhedral graphs in 3-space are chiral, by T. Castle et al., which proves that toroidal
embeddings of polyhedra are chiral.
Their proof is examined in detail. A possible application of this work, as discussed
by the team, would be in molecules which have the structure of a toroidal polyhedral
embedding. Various methods of seeking such an example are attempted and discussed.
PDF; 53 pgs.
PDF; 53 pgs.