Skip to content # Euler Characteristic Exploration

## Activity Handouts

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## Activity Guide

# This guide looks at the activity in detail and goes into the underlying math.

Vandervelde, Sam. (2022). Euler Characteristic Exploration. In T. Busk (Ed.), Math Circle Activity Database. American Institute of Mathematics. https://mathcircles.org/activity/euler-characteristic-exploration

Contributor(s): Sam Vandervelde

Math Circles: MTC Network

- Activity Description
- Topics Covered
- Session Styles
- Mathematical Practices

The purpose of this activity is to introduce students to elementary concepts in
graph theory in a hands-on, accessible manner. Students will create their own graphs, count
certain quantities related to their graphs, make conjectures regarding these quantities, and
learn how to explain why their conjecture is true. In the process they will discover the Euler
characteristic, a powerful tool for understanding planar graphs.