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How would you stack oranges in eight dimensions? The interesting video first describes hyperspheres as spheres in higher dimensions. It then provides some thought experiments to provide ways to think about hyperspheres and sphere packing.
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Instructional Ideas
- Have the class conduct the penny packing example given in the video as an introduction to the topics
- Pause video to get learners to verify that a circle takes up 79 percent of a square and sphere takes up 52 percent of a cube
Classroom Considerations
- Pupils should have knowledge of the coordinate system as well as three-dimensional space
- This video is hosted on YouTube
Pros
- Cool graphics keep viewers engaged
- Includes recent advances (2016) on the topic
Cons
- None