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Park City Mathematics Institute
Geometrical Concepts from Constructions, Models, and Investigations
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Factoring Patterns in the Gaussian Plane
Steve Phelps
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Go to: final_factoring_integers_gaussian.pdf
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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
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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
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© 2001 - 2018 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
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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.
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