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...
