Geometrical Shapes and Physics
Problem: How can we obtain the maximum area of a polygon whose edge lengths are fixed? This is a well-known mathematical puzzle were we will demonstrate an experimental solution that takes into account the physics of force balance. This mathematical issue will be demonstrated by using a bike pump and a bike tube that has plastic tubes wrapped around it! Based on the common-sense understanding that water takes up the maximum volume permitted, the desired shape will naturally arise if we visualize a polygonal garden pool with movable sides! The outcome is the "experimental" demonstration of a well-known geometric theorem.
Presented by:
- Leonid Chekhov, associate professor, mathematics, Michigan State University
Suggested for ages: Kindergarten and Pre-K, Elementary school age, Middle school age, High school age, 18 years and above
Scientific Disciplines:
- Mathematics
Time and Location
-
4/13/2024 10:00 AM - 4:00 PM
Location: STEM Teaching and Learning Facility Room 3202