Some Extensions and Conclusion.

There are a number of extensions of this investigation, for example: There are a myriad of other questions one could ask, either spawned by the above investigations or by going in other directions entirely. We have had students interested in computer science, statistics, pure mathematics and applied mathematics work with us on various questions that have spun off of these investigations. A full listing of even the extensions we have begun investigating is beyond the scope of this paper but we refer you to the references for more information. We also invite you to think of your own questions. It seems that every investigation in mathematics leads to more new questions. Thus mathematics is an ever-growing rich field of knowledge. We hope you have enjoyed this small journey into just one of the many accessible niches in mathematics.