Title: | Arctangent Identities for Pi |

Speaker: | Jack Calcut Research Scientist Interactic Holdings Austin,, TX |

Abstract: | 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. |

Location: | Palenske 227 |

Date: | 4/3/2008 |

Time: | 3:10 PM |

@abstract{MCS:Colloquium:JackCalcut:2008:4:3, author = "{Jack Calcut}", title = "{Arctangent Identities for Pi}", address = "{Albion College Mathematics and Computer Science Colloquium}", month = "{3 April}", year = "{2008}" }