- Introduction to Dimensions
- Counting dimensions
- Coordinates
- What is the fourth dimension anyway?
- A First View: Flatland
- 2 dimensions, 3 dimensions, and higher!
- Video: Flatland: the Movie
- Video: Flatland: the Film
- Reducing Dimensions: Unfolding
- The hypercube
- Counting parts of a polyhedron
- The Platonic solids and their analogues
- Dual polyhedra (optional)
- The Archimedean solids (optional)
- Reducing Dimensions: Shadows
- Views of the hypercube
- Orthographic projection
- Stereographic projection
- Reducing Dimensions: Slicing
- Slicing a cube
- Slicing a hypercube
- Level sets, critical points (optional)
- Video: The Hypercube: slices and projections
- Connections: The Hypercube and the Hypersphere
- Decomposition of the hypercube
- Video: The Hypersphere: Projections and foliations
See the course calendar for details concerning exams and quizzes.
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