Albion College
Mathematics and Computer Science
COLLOQUIUM
Arctangent Identities for Pi
Jack Calcut

Research Scientist

Interactic Holdings

Is there a better identity for pi than pi=4arctan(1)? Are the degree angle measures ever rational in a triangle whose side lengths form a Pythagorean triple? Which regular polygons may be built on a geoboard? The answers to these questions are intimately related to arctangent identities for pi, which we will explore using the number theory of the Gaussian integers. We will present some of the historical context as well as some directions for further research.
3:10 PM
All are welcome!
Palenske 227
April 3, 2008