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Isn't pi supposed to be constant? An intriguing video shows how the value of pi can change when the definition of distance varies. It explains how using various L^p metrics, where p = 2 represents the traditional Euclidean metric, results in different circles so the value of pi changes.
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Instructional Ideas
- Have pupils verify the values of pi given in the video for higher L^p metrics
Classroom Considerations
- Learners should be familiar with the distance formula and coordinate geometry, including the unit circle
- Individuals should understand the connection between fractional exponents and roots
- This video is hosted on YouTube
Pros
- Methodical explanations are thorough and easy to follow
- Well-paced video
Cons
- None