8 Stick Knot Equations Equations from: Negami and Calvo S(K) = stick number of a knot C(K) = crossing number of a knot
9 Stuck Unknots Images from: Non Trivial Embeddings of Polygonal Intervals and Unknots in 3- Space, Heather Johnston and Jason Cantarella, J.Knot Theory Ramifications 7 (1998), no. 8, 1027-1039.
10 Hydrocarbons Images from: http://www.nyu.edu/pages/ mathmol/library/hydrocarbo ns/ Nomenclature Single bond – Alkane Double bond – Alkene Triple bond - Alkyne
11 The Role of Hydrocarbons Image Created in: HyperChem Professional version 7.5
12 Stuck Hydrocarbon Chain Image Created in: HyperChem Professional version 7.5
13 Why? Stephanie H. Chanteau and James M. Tour, Stephanie H. Chanteau and James M. Tour, J. Org. Chem, Vol. 68, No. 23, 2003. pg. 8759.
14 Conclusion I have shown that hydrocarbons can make stuck unknots in certain situations. This research has not eliminated the possibility of stuck hydrocarbons with only alkenes or alkanes, but it has proven that stuck unknots can be made by a combination of single, double, and triple bonds.
15 Thank You Here are the people who helped me greatly in bringing this project together: Dr. Jo Ellis-Monaghan – SMC Dr. Jo Ellis-Monaghan – SMC Dr. Kathleen Mondanaro – SMC Dr. Heather Johnston – Vassar College Dr. Tim Comar – Benedictine University Mary Cox – Grad Student at UVM Whitney Sherman – Undergrad Student at SMC Thank you all for your support.