The Mathematics of Wallpaper

CONTENTS OF CURRICULUM UNIT 10.04.09

  1. Unit Guide
  1. Overview
  2. Objectives
  3. Rationale
  4. Activities
  5. Endnotes
  6. Bibliography
  7. Websites
  8. Materials List
  9. Standards/Appendices

Math and Design

Rosemary Schmitt

Published September 2010

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Overview

Can we engage our students in active learning by applying math in an art classroom? This form of active learning seems to be lost in our academic world. I am always looking for ways to incorporate math into other subjects and taking math from the classroom into other activities, including art. In this unit we will look at symmetry and the transformation of designs through rotation, reflection, and translation. We will also look at the less well-known transformation of glide reflection. After studying these concepts we will explore frieze patterns (a pattern that repeats in an infinite strip) to see what kind of symmetries we notice and apply these symmetries to create our own geometric pattern.

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