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The Planar Isometries of Polygons

CSEF · 2006 Mathematics & Software

Kaelin Swift · Washington Alternative High School, Colton

Overview

Objectives/Goals In this project, the planar isometries of polygons are characterized by their grap structure. It is shown that the reflections and rotations are the only possible planar isometries. A geometric proof of Langrange's Theorum is given. Methods/Materials Analytic and geometric methods are used to study and characterize the planar isometries of polygons. Results I found that the only possible isometries where rotations and reflections. Conclusions/Discussion The project concludes that the only possible isometries are rotations and reflections.

Summary statement

This project characterizes the planar isometries of polygons as rotations and reflections.

Help received

Father helped prepare display board. I received some minimal advise from Dr. J. Gani of the Australian National University.

Competition history

  • CSEF 2006 Mathematics & Software · Entry J1225

Resources

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