The Mathematics of Wallpaper

CONTENTS OF CURRICULUM UNIT 10.04.01

  1. Unit Guide
  1. Introduction
  2. Rationale
  3. Objectives
  4. Strategies
  5. The hierarchy of quadrilaterals
  6. Tessellation
  7. Activities 1
  8. Activity 2
  9. Activity 3
  10. Activity 4
  11. Notes:
  12. Appendix A: Annotated Bibliography
  13. Appendix B: Implementing District Standards
  14. Appendix C: Collection of Problems

Geometry and the Real World

Shamsu Abdul-Aziz

Published September 2010

Tools for this Unit:

Notes:

  1. Barker, W. and Howe, R, Continuous Symmetry. American Mathematical Society, 2000.
  2. Britton, Jim, Investigating Patterns, Symmetry and Tessellations. Dale Seymour Publications, 2000.
  3. Brown, G. Richard (1973), Transformational Geometry, p.30
  4. Coxeter, H. S. M. and Greitzer, S. L. Geometry Revisited. Washington, DC: Mathematics Association of America, p. 80, 1967.
  5. Durzhin, S.V and Chebotarevsky, Transformation Groups for beginners.
  6. Eves (1963), vol. 1., p. 19
  7. Eves (1963), vol. 1., p. 10
  8. Joyce, D. E. (1996), Euclid's Elements, Book I, Definition 7, Clark University, http://aleph0.clarku.edu/~djoyce/java/elements/bookI/defI7.html.
  9. Mathematics in School, 28(5), Nov. 1999, p. 30
  10. Pumfrey and Beardon (2002)
  11. Seidel (1998)
  12. Schattschneider, Doris and Freeman, W. M.C. Escher: Visions of Geometry.
  13. Weyl, Hermann, Symmetry.

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