The Mathematics of Origami
Under the direction of: Brenda Johnson
The ancient Greeks were interested in constructing geometric figures using only a straightedge and compass. Much interesting work in algebra and geometry has been motivated by determiniing what can and cannot be done with these tools. For example, it is impossible to double a cube or trisect an angle with just these tools. If one uses paperfolding techniques instead of straightedge and compass, both doubling a cube and trisecting an angle become possible. A thesis in this area will explore the mathematics of origami and its applications to solving such classical problems.
This topic is best suited for a oneterm thesis.

