Polyhedra Pastimes, the second book in the Investigating Patterns series, allows you to open up your students' minds to the amazing world of polyhedra. Students will transform sheets of paper into cubes and icosahedra. They will enjoy making tetrahedron kites and kaleidocycles. They will learn about Platonic solids not by seeing pictures or models of them, but by actually building them on their own.

Thirty teacher-friendly activities will enable you to guide your class through topics like Euler's formula, the Golden Ratio, and Archimedean solids. The incorporation of a variety of visual experiences allows students to understand the math and have fun, all at the same time!

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Review in Mathematics Teaching in Middle School

## Content

1. Regular Polygons and Tessellations
2. The Regular Polyhedra
3. From Gumdrops to Zometool®
4. Regular Polyhedra Nets
5. Euler’s Formula
6. Duality and Symmetry
7. History and Applications
8. Tetrahedron from an Envelope
9. No Glue Icosahedron
10. Pop-Up Dodecahedron
11. Blow-Up Cube
12. Skeletal Octahedron
13. Pyramids and Prisms
14. The Golden Ratio
15. Stellations of Regular Polyhedra
16. Star Building Unit
17. Origami Stellated Octahedron
18. Tetrahedron Kite
19. Polyhedra Bubbles
20. The Archimedean Solids
21. Nomenclature
22. Euler’s Formula Revisited
23. Filling Space
24. The Polyhedra of M. C. Escher
25. An Escher Cuboctahedron
26. Kaleidocycles
27. Folding and Unfolding Cubes
28. Icosahedron Globes
29. Geodesics
30. The Buckyball
Appendix
Bibliography

## Supplement

Extensive educational links on the Internet, in chapter/activity order, may be found at this site to supplement the activities in this book.