Park City Mathematics Institute
Geometrical Concepts from Constructions, Models, and Investigations

Factoring Patterns in the Gaussian Plane
Steve Phelps

Go to: final_factoring_integers_gaussian.pdf

WHAT IS IT?
This article discusses discoveries by the author while studying aspects of geometry, the Gaussian plane, and later applications to operations on Gaussian integers.

GRADE LEVEL
11 - 12

STRAND
Geometry

OBJECTIVE
To introduce teachers to ideas of factorization involving Gaussian integers and their ties to geometry.

PREREQUISITES

Geometry
  • Apollonian circles
  • Inversion
  • Complex numbers

Back to PCMI Resources for Teachers

_____________________________________
PCMI@MathForum Home || IAS/PCMI Home
_____________________________________

© 2001 - 2015 Park City Mathematics Institute
IAS/Park City Mathematics Institute is an outreach program of the Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540
Send questions or comments to: Suzanne Alejandre and Jim King

With program support provided by Math for America

This material is based upon work supported by the National Science Foundation under DMS-0940733 and DMS-1441467. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.