Colin


Welcome, friends! Xαίρετε, ὦ φίλοι!

Welcome to Colin's Math Domain. Here you will find information about myself, my research, and teaching. Click on an item in the sidebar to the right to begin.

Summer 2007 REU Students: I've placed my fractals code on my Fractals Research page.

Also, welcome to Upward Bound students and parents. Click here for the Fractals page.


About the Cover

The cover image is one arrangement of the Archimedes Stomachion problem. The problem was originally thought to be an ancient version of the Tangram puzzle, but modern scholars believe it was an exercise in combinatorics. Each of the given pieces has vertices on an integer lattice. How many ways are there to put them into a 12 unit square? (Ron Graham

The answer, shown mathematically by Ron Graham and Fan Chung, and also experimentally verified by Bill Cutler, is 536. This assumes that two solutions are the same if they are rotations or reflections of one another. All 536 are shown here. You may recognize the highlighted one...

536sol