I created the above gif using Wolfram Research's program Mathematica. By careful selection of parameters, one can produce intriguing effects. See my math-gifs page and the Lab for Visual Math page below. I also have a Youtube channel.
See colorful outerplanar layouts for some circulant graphs for some slides illustrating embeddings with low crossing numbers and book thickness. The drawings of graphs there are also done via Mathematica software which was developed in my lab.
In Spring 2012, I taught Applied Combinatorics . The original announcement for the course is here . The syllabus, which is available at my explore.georgetown page . Getting to the syllabus requires two log-ins and is only for georgetown students, so I've put a copy of this pdf file here .
I also gave Research Modules in the Cognitive Science program; see 2012 modules and similarly for 2013. The modules were related to development of a "Math User Interface" designed to make Mathematica more accessible to math and computer science students.
I am Director of the Laboratory for Visual Mathematics (Lab4VM) . I've had two GUROP (Georgetown Undergraduate Research Opportunities Program) assistants, Adam Persing and Jun Oh Yoon, who assisted me in preparing the older pages which are accessible there. Adam and Jun Oh were also the founders of the Psychophysics Club. Currently, Adam has gone back to academia for his Ph.D. work in economics in London, while Jun Oh is a Financial Analyst in the Washington, DC area. I have benefited from advice from several senior members of the Georgetown faculty: Professors Karl Pribram, George Farre, and Patrick Healon, S.J. and I am currently being assisted by Jianyao Zou via a Hodson Internship from St. Johns College.
My brother Dan is an artist and inventor. His website shows a new 3-D display technique for printing, which he used in his book, "Safari: A MotionPicture(TM) Book", published by Workman Press - see here . My former index page contains links to other pages. My homely page has information on my research and other interests.
Office: 315D St. Mary's, phone 202-687-2703
e-mail: Kainen at Georgetown dot edu
My office hours in summer 2013 are M-F 11 am to 6 pm.