The Shape of Space

Curriculum Materials

During the 1995 Summer Institute at The Geometry Center, a team of undergraduates, middle and high school mathematics teachers and Center staff developed curriculum materials supporting The Shape of Space video. The team developed a comprehensive curriculum, covering many areas related to the video. The following materials were selected for distribution based on their direct relevence to understanding the video itself.

For your convenience, a printable PostScript (.5 Mb compressed / 24 Mb uncompressed) version of all of these materials is available.

Selected Materials

Content Overview
Lessons
- Dimensions -- exploring flatland
- Surfaces -- gluing diagrams and flatlander games
- Geodesics -- line-of-sight
- Symmetry and Tiling -- in two and three dimensions
- The Shape of Our Universe -- What is the shape of space?
Glossary

Other materials available on the Web

Torus and Klein Bottle Games: Play some of your favorite traditional games on the surface of a torus or a Klein bottle. Jeff Weeks created interactive Java games (Tic-Tac-Toe, Chess, Jigsaw puzzles, Mazes, Word Searchs and Crossword puzzles) for learning about these surfaces.
Topology Materials: Chaim Goodman Strauss' topology handouts.

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