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There and Back Again: A Point's Tale: The Planar Isometries of a Regular Polygon

CSEF · 2007 Mathematics & Software Third Award

Kaelin A. Swift · Bloomington Middle School, Bloomington, San Bernardino County

Overview

Objectives/Goals In this project, an analytic description of the counter clockwise rotations of regular polygons is obtained. This project is a continuum of last years project. Methods/Materials Aspects of trigonometry and complex numbers are combined with group theory to obtain the desired description. Results The rotations are described in terms of the cyclic group and the vertices of the polygon are shown to be roots of Zn-1. Conclusions/Discussion I extended my results from last years project and obtained an analytic description of the polygon's vertices.

Summary statement

To obtain a description of the vertices of a regular polygon.

Help received

Father helped prepare the display board.

Awards (1)

Competition history

  • CSEF 2007 Mathematics & Software · Entry J1318

Resources

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